NONLOCAL EIGENVALUE PROBLEMS IN VARIABLE EXPONENT SOBOLEV SPACES

被引：0

作者：

Benouhiba, Nawel ^{[1
]}

机构：

[1] Badji Mokhtar Annaba Univ, Lab Appl Math, POB 12 El Hadjar, Annaba 23000, Algeria

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2015年

关键词：

Variable exponent Sobolev space; p (x)-Laplacian; Eigenvalue; Critical point; Ekeland's principle;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss a nonlinear eigenvalue problem driven by the p (x)-Laplacian in a variable exponent space. The differentiability and the energy functional using Ekeland's principle are investigated. The existence of infinitely many eigenvalues is also established.

引用

页数：15

共 50 条

[31] Solvability of nonlocal elliptic problems in Sobolev spaces
Gurevich, PL
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2003, 10 (04) : 436 - 466
[32] Variable Exponent p(middot)-Kirchhoff Type Problem with Convection in Variable Exponent Sobolev Spaces
El Hammar, Hasnae
El Ouaarabi, Mohamed
Allalou, Chakir
Melliani, Said
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41 : 19 - 19
[33] AN EIGENVALUE PROBLEM RELATED TO THE CRITICAL SOBOLEV EXPONENT: VARIABLE COEFFICIENT CASE
Takahashi, Futoshi
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2010, 23 (9-10) : 827 - 860
[34] Elliptic problems in variable exponent spaces
Mihailescu, Mihai
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 74 (02) : 197 - 206
[35] COMPACT EMBEDDINGS FOR RADIAL SOBOLEV SPACES OF TWO VARIABLE EXPONENTS AND NONLINEAR ELLIPTIC PROBLEMS WITH VARIABLE CRITICAL EXPONENT
Ohno, Takao
Sano, Megumi
Shimomura, Tetsu
ADVANCES IN DIFFERENTIAL EQUATIONS, 2025, 30 (5-6) : 237 - 268
[36] Special Issue: Sobolev Spaces with Variable Exponent and Related Elliptic Problems: Theory and Applications PREFACE
Alkhutov, Yu.
Antontsev, S.
Gilbert, R.
Pankov, A.
Radulescu, V.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (7-9) : 543 - 544
[37] Strauss and Lions Type Theorems for the Fractional Sobolev Spaces with Variable Exponent and Applications to Nonlocal Kirchhoff–Choquard Problem
Sabri Bahrouni
Hichem Ounaies
Mediterranean Journal of Mathematics, 2021, 18
[38] On the Sobolev trace Theorem for variable exponent spaces in the critical range
Fernandez Bonder, Julian
Saintier, Nicolas
Silva, Analia
ANNALI DI MATEMATICA PURA ED APPLICATA, 2014, 193 (06) : 1607 - 1628
[39] Embedding theorems for variable exponent fractional Sobolev spaces and an application
Liu, Haikun
Fu, Yongqiang
AIMS MATHEMATICS, 2021, 6 (09): : 9835 - 9858
[40] CHARACTERIZATIONS OF SOBOLEV SPACES WITH VARIABLE EXPONENT VIA AVERAGES ON BALLS
Xu, Jingshi
TOHOKU MATHEMATICAL JOURNAL, 2020, 72 (04) : 569 - 579

← 1 2 3 4 5 →