Quasilinear elliptic problems with concave-convex nonlinearities

被引：17
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.
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收藏
页数：25
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