A FRACTIONAL LANDESMAN-LAZER TYPE PROBLEM SET ON R-N

被引：3

作者：

Ambrosio, Vincenzo ^{[1
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppli, Naples, Italy

来源：

MATEMATICHE | 2016年 / 71卷 / 02期

关键词：

Fractional Laplacian; Struwe's monotonicity-trick; Positive solutions;

D O I：

10.4418/2016.71.2.8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the abstract version of Struwe's monotonicity-trick we prove the existence of a positive solution to the problem {(-Delta)(s)u + Ku = f(x,u) in R-N u epsilon H-s (R-N), K > 0 where f(x,t) : R-N x R -> R is a Caratheodory function, 1-periodic in x and does not satisfy the Ambrosetti-Rabinowitz condition.

引用

页码：99 / 116

页数：18

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