MULTIPLE POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS OF p(x)-LAPLACIAN TYPE WITH SIGN-CHANGING NONLINEARITY

被引：0

作者：

Ho, K. Y. ^{[1
]}

Kim, Chan-Gyun ^{[2
]}

Sim, Inbo ^{[1
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

[2] Pusan Natl Univ, Dept Math Educ, Pusan 609735, South Korea

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

新加坡国家研究基金会;

关键词：

p(x)-Laplacian; variable exponent; sign-changing nonlinearity; positive solutions; multiplicity; SOBOLEV EMBEDDINGS; VARIABLE EXPONENT;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish sufficient conditions for the existence of multiple positive solutions to nonautonomous quasilinear elliptic equations with p(x)-Laplacian and sign-changing nonlinearity. For solving the Dirichlet boundary-value problem we use variational and topological methods. The nonexistence of positive solutions is also studied.

引用

页数：12

共 50 条

[1] Multiple sign-changing solutions for a class of quasilinear elliptic equations
He, Xiumei
Wu, Xian
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (05) : 1448 - 1461
[2] MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH SIGN-CHANGING POTENTIAL
Wang, Ruimeng
Wang, Kun
Teng, Kaimin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[3] MULTIPLE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH SIGN-CHANGING POTENTIAL AND NONLINEARITY
Qin, Dongdong
Tang, Xianhua
Zhang, Jiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[4] Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
Tian, Shuying
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 454 (02) : 816 - 828
[5] Existence and Multiplicity of Radial Positive Solutions for a Quasilinear Elliptic Equation with Sign-Changing Nonlinearity
Francisco Julio S. A. Corrêa
Giovany M. Figueiredo
Acta Applicandae Mathematicae, 2014, 129 : 23 - 39
[6] Existence and Multiplicity of Radial Positive Solutions for a Quasilinear Elliptic Equation with Sign-Changing Nonlinearity
Correa, Francisco Julio S. A.
Figueiredo, Giovany M.
ACTA APPLICANDAE MATHEMATICAE, 2014, 129 (01) : 23 - 39
[7] Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method
Liu, Jia-Quan
Liu, Xiang-Qing
Wang, Zhi-Qiang
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2014, 39 (12) : 2216 - 2239
[8] Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
Afrouzi, GA
Brown, KJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (04) : 507 - 510
[9] Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
Mazandaran Univ, Babolsar, Iran
Nonlinear Anal Theory Methods Appl, 4 (507-510):
[10] Multiple sign-changing radially symmetric solutions in a general class of quasilinear elliptic equations
Alves, Claudianor O.
Goncalves, Jose V. A.
Silva, Kaye O.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (05): : 2601 - 2623

← 1 2 3 4 5 →