Critical quasilinear elliptic problems using concave-convex nonlinearities

被引：15
|
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.
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页码：693 / 726
页数：34
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