Quasilinear elliptic problems with concave-convex nonlinearities

被引：18

作者：

Carvalho, M. L. M. ^{[1
]}

da Silva, Edcarlos D. ^{[1
]}

Goulart, C. ^{[2
]}

机构：

[1] Univ Fed Goias, IME, Goiania, Go, Brazil

[2] Univ Fed Goias, Jatai, Go, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2017年 / 19卷 / 06期

关键词：

Variational methods; quasilinear elliptic problems; sign-changing nonlinearities; concave-convex nonlinearities; AMBROSETTI-RABINOWITZ CONDITION; MULTIPLE POSITIVE SOLUTIONS; CRITICAL SOBOLEV EXPONENT; CHANGING WEIGHT FUNCTION; ORLICZ-SOBOLEV; LOCAL SUPERLINEARITY; EIGENVALUE PROBLEMS; EQUATIONS; SUBLINEARITY; REGULARITY;

D O I：

10.1142/S0219199716500504

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and multiplicity of solutions for a quasilinear elliptic problem driven by the Phi-Laplacian operator is established. These solutions are also built as ground state solutions using the Nehari method. The main difficulty arises from the fact that the Phi-Laplacian operator is not homogeneous and the nonlinear term is indefinite.

引用

页数：25

共 40 条

[1] On existence of solution of variational multivalued elliptic equations with critical growth via the Ekeland principle [J].