Some Quasilinear Elliptic Equations Involving Multiple p-Laplacians

被引：23

作者：

Pomponio, Alessio ^{[1
]}

Watanabe, Tatsuya ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari, Italy

[2] Kyoto Sangyo Univ, Fac Sci, Dept Math, Kita Ku, Kyoto 6038555, Japan

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2018年 / 67卷 / 06期

关键词：

Quasilinear elliptic equation; variational method; ground state solution; SCALAR FIELD-EQUATIONS; R-N; SUPERLINEAR (P; MOUNTAIN PASS; EXISTENCE; Q)-LAPLACIAN; REGULARITY; SYMMETRY;

D O I：

10.1512/iumj.2018.67.7523

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study, with variational technique, of the following quasilinear elliptic problem: {-Delta(p)u - beta Delta(q)u = g(u) in R-N, u(x) -> 0 as |x| -> + infinity, where N >= 3, 1 < p < q, and p < N. We are interested in the existence of positive solutions for general nonlinearities. Specifically, we obtain the existence result for the zero mass case, which includes a large class of pure power nonlinearities. More general quasilinear problems of Born-Infeld type are also considered.

引用

页码：2199 / 2224

页数：26

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