Weak solutions for elliptic problems in weighted anisotropic Sobolev space

被引：1

作者：

Soltani, Tahere ^{[1
]}

Razani, Abdolrahman ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 3414896818, Iran

来源：

FILOMAT | 2023年 / 37卷 / 28期

关键词：

Anisotropic operator; Mountain Pass theorem; weighted Sobolev space; variational methods; EXISTENCE; EQUATIONS;

D O I：

10.2298/FIL2328729S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using Mountain Pass Theorem, the existence of weak solutions forN r, i=1 ! partial differential a(x)| partial differential u |pi(x)-2 partial differential u = & lambda;& gamma;(x)|u|q(x)-2u-& lambda;& delta;(x)|u|r(x)-2u, partial differential xi partial differential xi partial differential xi with Dirichlet boundary condition is studied.

引用

页码：9729 / 9740

页数：12

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