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.
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页码：2199 / 2224
页数：26
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