Eigenvalue Problems for Fractional p(x, y)-Laplacian Equations with Indefinite Weight

被引：18

作者：

Nguyen Thanh Chung ^{[1
]}

机构：

[1] Quang Binh Univ, Dept Math, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2019年 / 23卷 / 05期

关键词：

fractional p(x; y)-Laplacian problems; indefinite weight; fractional Sobolev space; variable exponent; variational methods; MULTIPLICITY; EXISTENCE; P(X)-LAPLACIAN; LAPLACIAN; SYSTEMS;

D O I：

10.11650/tjm/190404

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of eigenvalue problems for fractional p(x, y)-Laplacian equations with indefinite weight in fractional Sobolev space with variable exponent. Under some suitable conditions on the growth rates involved in the problem, we establish some results on the existence of a continuous family of eigenvalues using variational techniques and Ekeland's variational principle.

引用

页码：1153 / 1173

页数：21

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