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.
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页数：15
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