Fractional p-Laplacian Equations with Subcritical and Critical Exponential Growth Without the Ambrosetti-Rabinowitz Condition

被引：13

作者：

Pei, Ruichang ^{[1
]}

机构：

[1] Tianshui Normal Univ, Dept Math, Tianshui 741001, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 02期

关键词：

Fractional p-Laplacian problems; subcritical or critical exponential growth; mountain pass theorem; without the (AR) condition; ELLIPTIC-EQUATIONS; SEQUENCES;

D O I：

10.1007/s00009-018-1115-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to investigate the existence of nontrivial solutions to a class of quasilinear non-local problems which do not satisfy the Ambrosetti-Rabinowitz (AR) condition where the nonlinear terms are superlinear at 0 and of subcritical or critical exponential growth (subcritical polynomial growth) at infinity. Some existence results for nontrivial solution are obtained using mountain pass theorem combined with the fractional Moser-Trudinger inequality.

引用

页数：15

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