MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION

doi:10.1016/S0252-9602(16)30020-0

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35J20

Ke WU, Xian WU. MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION[J].Acta mathematica scientia,Series B, 2016, 36(2): 549-559.

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[1] Aouaoui S. Multiplicity of solutions for quasilinear elliptic equations in R^N. J Math Anal Appl, 2010, 370:639-648
[2] Brizhik L, Eremko A, Piette B, Zakrzewski W. Static solutions of a D-dimensional modified nonlinear Schrödinger equation. Nonlinearity, 2003, 16:1481-1497
[3] Brüll L, Lange H. Solitary waves for quasilinear Schrödinger equations. Expo Math, 1985, 4:278-288
[4] Canino A. Multiplicity of solutions for quasilinear elliptic equations. Topol Methods Nonlinear Anal, 1995, 6:357-370
[5] Colin M, Jeanjean L. Solutions for a quasilinear Schrödinger equation:a dual approach. Nonlinear Anal, 2004, 56:213-226
[6] do Ó J M, Severo U. Quasilinear Schrödinger equations involving concave and conves nonlinearities. Commun Pure Appl Anal, 2009, 8:621-644
[7] Gloss E. Existence and concentration of positive solutions for a quasilinear equation in R^N. J Math Anal Appl, 2010, 371:465-484
[8] Kurihura S. Large-amplitude quasi-solitons in superfluid films. J Phys Soc Japan, 1981, 50:3262-3267
[9] Liu J, Wang Z Q, Guo Y. Multibump solutions for quasilinear elliptic equations. J Funct Anal, 2012, 262:4040-4102
[10] Liu J, Wang Z Q, Wu X. Multibump solutions for quasilinear elliptic equations with critical growth. J Math Phys, 2013, 54:121501
[11] Liu J, Wang Y, Wang Z Q. Soliton solutions for quasilinear Schrödinger equations. II. J Differ Equ, 2003, 187:473-493
[12] Liu J, Wang Y, Wang Z Q. Solutions for quasilinear Schrödinger Equations via the Nehari Method. Comm Partial Differ Equ, 2004, 29:879-892
[13] Liu X, Liu J, Wang Z Q. Quasilinear elliptic equations via perturbation method. Proc Amer Math Soc, 2013, 141:253-263
[14] Willem M. Minimax theorems. Progr Nonlinear Differential Equations Appl. Vol 24. Birkhauser Boston, Inc Boston, MA, 1996
[15] Wu X, Wu K. Existence of positive solutions, negative solutions and high energy solutions for quasi-linear elliptic equations on R^N. Nonlinear Anal RWA, 2014, 16:48-64
[16] Zhou F, Wu K, Wu X. High energy solutions of systems of Kirchhoff-type equations on R^N. Comput and Math Appl, 2013, 66:1299-1305

MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION

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