Critical quasilinear elliptic problems using concave-convex nonlinearities

被引：14

作者：

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

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

Goncalves, J. V. ^{[1
]}

Goulart, C. ^{[2
]}

机构：

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

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

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2019年 / 198卷 / 03期

关键词：

Variational methods; Quasilinear elliptic problems; Concave-convex nonlinearities; Indefinite elliptic problems; LOCAL SUPERLINEARITY; ORLICZ-SOBOLEV; R-N; EQUATIONS;

D O I：

10.1007/s10231-018-0794-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is established existence, multiplicity, and asymptotic behavior of nonnegative solutions for a quasilinear elliptic problem driven by the phi-Laplacian operator. One of these solutions is obtained as ground-state solution by applying the well-known Nehari method. The nonlinear term is a concave-convex function which presents a critical behavior at infinity. The concentration-compactness principle is used in order to recover the compactness required in variational methods.

引用

页码：693 / 726

页数：34

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