Existence and Uniqueness of Weak Solution of p(x)- Laplacian in Sobolev Spaces With Variable Exponents in Complete Manifolds

被引：20

作者：

Benslimane, Omar ^{[1
]}

Aberqi, Ahmed ^{[2
]}

Bennouna, Jaouad ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Al Mahraz, Dept Math, BP 1796, Atlas Fez, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci Fez, Fes, Morocco

来源：

FILOMAT | 2021年 / 35卷 / 05期

关键词：

Non-trivial solution; Lebesgue space with variable exponent; Sobolev spaces Riemannian manifolds; Mountain pass Theorem; EQUATIONS;

D O I：

10.2298/FIL2105453B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the existence and uniqueness of a non-trivial solution to non-homogeneous p(x)-laplacian equations, managed by non polynomial growth operator in the framework of variable exponent Sobolev spaces on Riemannian manifolds. The mountain pass Theorem is used.

引用

页码：1453 / 1463

页数：11

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