| Marco Squassina: Research Papers & Related Stuff | |
EDITORIAL BOARD MEMBERSHIPS (2006-):
RESEARCH INTERESTS (1999-): Existence, non existence, symmetry, multiplicity and concentration results for quasi-linear elliptic problems via non-smooth analysis tools. Nonlinear Schrodinger equations and systems: semi-classical behaviour, orbital stability and soliton dynamics issues. Heat equations with fading memory, damped wave equations, phase field systems and thermoelastic plates. POSTDOC STUDENTS (2009-2010): Sara Barile (dall'1/07/2009 al 30/06/2010) BOOK (TEACHING) ON ODEs: M.Squassina, S.Zuccher, Introduzione all'Analisi Qualitativa delle Equazioni Differenziali Ordinarie, Apogeo Editore, 2008, e-book, 332 pagine, 365 figure. TALKS, VISITS, WORKSHOPS (1999-): [31] Torino, Politecnico, 28-01-2010 (invitation by Sergio Lancelotti). Talk of title: Radial symmetry for minimum and minimax critical points. [30] Cosenza, Unical, from 26-10 to 30-10-2009 (invitation by Annamaria Canino). Talk of title: Existence, symmetry and stability results for some quasi-linear elliptic problem. PDF [29] Granada, Spain, from 04-10 to 10-10-2009 (invitation by David Arcoya Alvarez). Talk of title: Existence, symmetry and stability results for some quasi-linear elliptic problem. PDF [28] S. Antonio, Texas, USA, from 24-09 to 26-09-2009 Workshop dedicated to the 60th birthday of Vieri Benci: Variational and topological methods in nonlinear analysis. [27] Besancon, France, from 16-03 to 21-03-2009 (invitation by Louis Jeanjean). Talk of title: Some recent developments on the soliton dynamics for NLS equations. PDF [26] Roma, Roma2, Tor Vergata, 03-03-2009 (invitation by Enrico Valdinoci). Talk of title: Some recent developments on the soliton dynamics for NLS equations. PDF [25] Roma, Roma1, Sapienza, 02-03-2009 (invitation by Eugenio Montefusco) Talk of title: Existence and symmetry of least energy solutions for a class of quasilinear elliptic equations PDF [24] Cosenza, Unical, 1-10 to 3-10-2008 (Invitation by Annamaria Canino), Dinamica solitonica per sistemi di Schrodinger. [23] Orlando, Florida, USA, 2-7 to 9-7-2008, 5th World Congress of Nonlinear Analysts. Organizer of a technical session entitled: Some recent achievements on scalar and vector nonlinear Schrodinger type equations. [22] Otranto, 1-5-5-2008, Convegno del PRIN: Metodi Variazionali e Topologici nello studio dei Fenomeni Nonlineari. Talks on spatial patterns for systems of Gross-Pitaevskii equations in the plane. PDF LOC [21] Besançon, France, 31-3 to 4-4 2008, Invitation by Prof. Louis Jeanjean to the Département de Mathématiques de Besançon Universite' de Franche-Comte'. [20] Toledo, Spain, 1-4 to 4-4 2008, Nonlinear phenomena in quantum degenerate gases, Universidad de Castilla-La Mancha [19] Milano, 27-2 e 2-3 2006, On a system of weakly coupled Schrodinger equations. Necessary and sufficient conditions for concentration of the solutions. [18] Perugia, 20-2-06, On a system of weakly coupled Schrodinger equations. Necessary and sufficient conditions for concentration of the solutions. [17] Guanajuato, México, 5/9-12-05, Meeting on topological and variational methods for pdes, PDF LOC [16] Montecatini, 29/30-09-05, Global solutions and finite time blow-up for damped semilinear wave equations, PDF LOC [15] Grado, 1/3-09-05, Global solutions and finite time blow-up for damped semilinear wave equations, PDF LOC [14] Roma, 27-06-05, Sulla localizzazione dei punti di concentrazione nei problemi ellittici singolarmente perturbati, Seminari di Equazioni Differenziali, Univ. Roma1 PDF [13] Rimini, 17/19-03-05, Exponential stability and singular limit for a linear thermoelastic plate
with memory effects, Direct Inverse Problems in Evolution Equations PDF [11] Milano, 8/13-09-03 Soluzioni a picco per equazioni quasilineari e identità di Pohozaev-Pucci-Serrin, XVII Congresso Unione Matematica Italiana PDF [10] Brescia, 15/20-09-03 An overview on polyharmonic equations at critical growth, Metodi Topologici nel Calcolo delle Variazioni e Sistemi Dinamici, Mini Workshop PDF [9] Salò, 3/5-07-03 Sull'equazione d'onda con smorzamento forte, Materiali Speciali e Memorie: Problemi Modellistici e Analitici PDF [8] Grado, 1/5-09-03 A few useful consequences of the Pohozaev-Pucci-Serrin identity, Nonlinear Partial Differential Equations and Connected Geometrical Problems PDF [7] Milano, 26-03-03 Regolarità delle soluzioni nelle identità di Pohozaev-Pucci-Serrin e fenomeni di concentrazione per equazioni quasilineari, Seminario di Calcolo delle Variazioni, Politecnico di Milano, PDF [6] Nizza, 10/13-02-03 Spike solutions for singularly perturbed quasilinear elliptic problems, First EMS-SMAI-SMF Joint Conference, Applied Mathematics and Applications of Mathematics, PDF [5] Martina Franca, 23/27-09-02 Some recent results on higher order elliptic equations, Calculus of Variations and Nonlinear Phenomena, PDF [4] Wilmington 24/27-05-02 Some multiplicity results for polyharmonic elliptic problems with broken of symmetry, Fourth International Conference on Dynamical Systems and Differential Equations, PDF [3] London, Canada, 27/31-07-01Two solutions for [2] Sammomme 09/11-04-01 Multiple solutions for quasilinear elliptic problems in R^2 with exponential growth, Incontro del Gruppo di Ricerca, V.Benci PDF [1] Catania 19/24-07-00 Perturbations of even functionals associated with quasilinear elliptic systems, Third World Congress of Nonlinear Analysts
27-Lug-2010 9:30 AM The files included in this page are intended for personal use only.
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RESEARCH PAPERS - PREPRINTS: [63] M.Squassina, On the Palais principle for nonsmooth functionals, preprint, PDF, arXiv: 1007.3593 [62] M.Squassina, On the symmetry of minimizers in constrained quasi-linear problems, preprint, PDF, arXiv: 1003.1389 RESEARCH PAPERS - APPEARED OR APPEARING (1999-): [61] L.Jeanjean, M.Squassina, An approach to minimization under constraint: the added mass technique, Calc. Var. Partial Differential Equations (2010), to appear, PDF [60] S.Barile, M.Squassina, On the well-posedness of a class of nonlinear Schrodinger systems, Adv. Nonlinear Stud. (2010), to appear, PDF [59] M.Squassina, Radial symmetry of minimax critical points for nonsmooth functionals, Commun. Contemp. Math. (2010), to appear, PDF [58] M.Colin, L.Jeanjean, M.Squassina, Stability and instability results for standing waves of quasi-linear Schrodinger equations, Nonlinearity 23 (2010) 1353-1385 PDF [57] R.Servadei, M.Squassina, Soliton dynamics for a general class of Schrodinger equations, J. Math. Anal. Appl. 365 (2010), 776-796 PDF [56] S.Cingolani, S.Secchi, M.Squassina, Semiclassical limit for Schrodinger equations with a magnetic field and Hartree-type nonlinearities, Proc. Roy. Soc. Edinburgh Sect. A 140A (2010) PDF [55] L.Montoro, B.Sciunzi, M.Squassina, Asymptotic symmetry for a class of quasi-linear parabolic problems, Adv. Nonlinear Stud. (2010) to appear, PDF [54] H.Hajaiej, M.Squassina, Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems, Comm. Partial Differential Equations, to appear, PDF [53] M.Squassina, Soliton dynamics for the nonlinear Schrodinger equation with magnetic field, Manuscripta Math. 130 (2009) (4) 461-494 PDF [52] E.Montefusco, B.Pellacci, M.Squassina, Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems, Commun. Pure Appl. Anal. 9 (2010) (4) 867-884 PDF [51] E.Montefusco, B.Pellacci, M.Squassina, Soliton dynamics for CNLS systems with potentials, Asymptotic Anal. 66 (2010) (2) 61-86, PDF [50] L.Montoro, B.Sciunzi, M.Squassina, Symmetry results for nonvariational quasi-linear elliptic systems, Adv. Nonlinear Stud. (2010), to appear, PDF [49] M.Caliari, M.Squassina, Numerical computation of soliton dynamics for NLS equations in a driving potential, Electron. J. Differential Equations 89 (2010) 1-12, PDF and AVI files, additional stuff, [48] W.Aschbacher, M.Squassina, On phase segregation in nonlocal two particle Hartree systems, Cent. Eur. J. Math., 7 (2009) (2) 230-248 PDF [47] L.Jeanjean, M.Squassina, Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), 1701-1716 PDF [46] M.Grasselli, J.E. Munoz Rivera, M.Squassina, Asymptotic behavior of a thermoviscoelastic plate with memory effects, Asymptotic Anal. 63 (2009) 55-84, PDF [45] M.Caliari, M.Squassina, Location and phase segregation of ground [44] M.Squassina, S.Zuccher, Numerical computations for the spatial segregation limit of some 2D competition-diffusion systems, Adv. Math. Sci. Appl. 18 (2008) (1) 83-104 PDF [43] M.Squassina, On the long term spatial segregation for a competition-diffusion system, Asymptotic Anal. 57 (2008), 83-103 PDF [42] M.Caliari, M.Squassina, Some spatial patterns for the three species Gross-Pitaevskii system in the plane, Electron. J. Differential Equations 79 (2008), 1-15 PDF [41] E.Montefusco, B.Pellacci, M.Squassina, Semiclassical states for weakly coupled nonlinear Schrodinger systems, J. Eur. Math. Soc. (JEMS) 10 (2008), 47-71 PDF [40] M.Squassina, Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problems, Electron. J. Differential Equations Monograph 7 2006 +213 pp. ISSN: 1072-6691, Texas State University of San Marcos, San Marcos, Texas, TX, USA. Full paper: PDF 2.0Mb, DVI 1.4Mb, PS 2.2Mb, DJVU 1.4Mb. Bibliography: PDF 350Kb. The monograph is also linked by the servers of the European Mathematical Society at emis.de/monographs The file of the AMS review of the monograph can be downloaded Here. [39] M.Grasselli, M.Squassina, Exponential stability and singular limit for a linear thermoelastic plate with memory effects, Adv. Math. Sci. Appl. 16 (2006), 15-31 PDF [38] F.Gazzola, M.Squassina, Global solutions and finite time blow up for damped semilinear wave equations,Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006) (2) 185-207 PDF [37] M.Conti, V.Pata, M.Squassina, Singular limit of dissipative hyperbolic equations with memory, Discrete Contin. Dyn. Syst. A special issue (2005), 200-208 PDF [36] M.Conti, V.Pata, M.Squassina, Singular limit of differential systems with memory, Indiana Univ. Math. J. 55 (2006) (1) 169-216 PDF [35] V.Pata, M.Squassina, On the strongly damped wave equation, Comm. Math. Phys. 253 (2005), 511-533 PDF [34] B.Pellacci, M.Squassina, Unbounded critical points for a class of lower semicontinuous functionals, J. Differential Equations 201 (2004) (1) 25-62 PDF [33] S.Secchi, M.Squassina, On the location of spikes for the Schrodinger equation with electromagnetic field, Commun. Contemp. Math. 7 (2005) (2) 251-268 PDF [32] S.Gatti, M.Grasselli, V.Pata, M.Squassina, Robust exponential attractors for a family of nonconserved phase-field systems with memory, Discrete Contin. Dyn. Syst. A 12 (2005) (5) 1019-1029 PDF [31] M.Conti, V.Pata, M.Squassina, Strongly damped wave equations in R^3 with critical nonlinearities, Commun. Appl. Anal. 9 (2005), 161-176 PDF [30] A.Pomponio, M.Squassina, Locating the peaks of semilinear elliptic systems, Adv. Nonlinear Stud. 5 (2005), 441-460 PDF [29] S.Secchi, M.Squassina, On the location of concentration points for singularly perturbed elliptic equations, Adv. Differential Equations 9 (2004) (1-2) 221-239 PDF [28] M.Squassina, Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth, NoDEA, Nonlinear Differential Equations Appl. 11 (2004) (1) 53-71 PDF [27] A.Giacomini, M.Squassina, Multi-peak solutions for a class of degenerate elliptic equations, Asymptotic Anal. 36 (2003) (2) 115-147 PDF [26] M.Squassina, Spike solutions for a class of singularly perturbed quasilinear elliptic equations, Nonlinear Anal. 54 (2003) (7) 1307-1336 PDF [25] A.Groli, M.Squassina, On the existence of two solutions for a general class of jumping problems, Topol. Meth. Nonlinear Anal. 21 (2003) (2) 325-344 PDF [24] M.Degiovanni, A.Musesti, M.Squassina, On the regularity of solutions in the Pucci-Serrin identity, Calc. Var. Partial Differential Equations 18 (2003) (3) 317-334 PDF [23] M.Clapp, M.Squassina, Nonhomogeneous polyharmonic elliptic problems at critical growth with symmetric data, Commun. Pure Appl. Anal. 2 (2003) 171-186 PDF [22] A.Candela, M.Squassina, On a class of elliptic equations for the n-Laplacian in R^n with a one-sided exponential growth, Serdica Math. J. 29 (2003) (4) 315-336 PDF [21] F.Gazzola, H.C.Grunau, M.Squassina, Existence and non existence results for critical growth biharmonic elliptic equations, Calc. Var. Partial Differential Equations 18 (2003) (2) 117-143 PDF [20] A.Salvatore, M.Squassina, Deformation from symmetry for nonhomogeneous Schrodinger equations of higher order on unbounded domains, Electron. J. Differential Equations 65 (2003) 1-15 PDF [19] S.Lancelotti, A.Musesti, M.Squassina, Infinitely many solutions for polyharmonic elliptic problems with broken symmetries, Math. Nachr. 253 (2003) 35-44 PDF [18] M.Squassina, On a class of nonlinear elliptic BVP at critical growth, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003) 193-208 PDF [17] A.Candela, A.Salvatore, M.Squassina, Semilinear elliptic systems with lack of symmetry, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003) 181-192 PDF [16] S.Liu, M.Squassina, On the existence of solutions to a fourth order quasilinear resonant problem, Abstract Appl. Anal. 7 (2002) (3) 125-133 PDF MSN [15] A.Candela, A.Salvatore, M.Squassina, Multiple solutions for semilinear elliptic systems with nonhomogeneous boundary conditions, Nonlinear Anal. 51 (2002) (2) 249-270 PDF MSN [14] A.Musesti, M.Squassina, Asymptotics of solutions for fully nonlinear problems with nearly critical growth, Z. Anal. Anwendungen 21 (2002) (1) 185-201 PDF MSN [13] M.Squassina, C.Tarsi, Erratum: Multiple solutions for quasilinear elliptic problems in R2 with exponential growth, Manuscripta Math. 124 (2007), 409-410 PDF [12] M.Squassina, C.Tarsi, Multiple solutions for quasilinear elliptic problems in R2 with exponential growth, Manuscripta Math. 106 (2001) (3) 315-337 PDF [11] M.Squassina On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation, Electron. J. Differential Equations 63 (2001) 1-10. PDF MSN [10] M.Squassina, Multiple critical points for perturbed symmetric functionals associated with quasilinear elliptic problems, Nonlinear Anal. 47 (2001) (3) 1605-1616. PDF [9] M.Squassina, On the existence of positive entire solutions of nonlinear elliptic problems, Topol. Meth. Nonlinear Anal. 17 (2001) (1) 23-39. PDF MSN [8] A.Groli, M.Squassina, Jumping problems for fully nonlinear elliptic variational inequalities, J. Convex Anal. 8 (2001) (2) 471-488 PDF MSN [7] M.Squassina, An eigenvalue problem for elliptic systems, New York J. Math. 6 (2000), 95-106. PDF MSN [6] M.Squassina, Weak solutions to general euler's equations via non-smooth critical point theory, Ann. Fac. Sci. Toulouse Math. (6) 9 (2000) (1) 113-131. PDF MSN [5] M.Squassina, Perturbed S^1-symmetric Hamiltonian systems, Appl. Math. Lett. 14 (2001) (3) 375-380. PDF MSN [4] S.Paleari, M.Squassina, Multiplicity results for perturbed symmetric quasilinear elliptic systems, Differential Integral Equations 14 (2001) (7) 785-800. PDF MSN [3] M.Squassina, Existence of multiple solutions for quasilinear diagonal elliptic systems, Electron. J. Differential Equations 14 (1999), 1-12. PDF MSN PH.D THESIS (2002): [2] M.Squassina, Risultati di esistenza, molteplicità e perturbazione dalla simmetria per problemi ellittici quasi-lineari associati a funzionali non-regolari, Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult. (8) VI-A (2003) 327-329. PDF [1] M.Squassina [Ph.D. Thesis] Existence, multiplicity and perturbation results for quasilinear elliptic problems via nonsmooth critical point theory, Quad. Sem. Mat. Brescia 23 (2001)
27-Lug-2010 9:30 AM The files included in this page are intended for personal use only. |
