Weak solutions for elliptic problems in weighted anisotropic Sobolev space-Reference-Cited by-同舟云学术

Weak solutions for elliptic problems in weighted anisotropic Sobolev space

Published:2023 Issue:28 Volume:37 Page:9729-9740
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Soltani Tahere¹,Razani Abdolrahman¹

Affiliation:

1. Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

Abstract

Using Mountain Pass Theorem, the existence of weak solutions for ? ?N i=1 ?/?xi (a(x)| ?u/?xi |pi(x)?2 ?u/?xi) = ??(x)|u|q(x)?2u ? ??(x)|u|r(x)?2u, with Dirichlet boundary condition is studied.

Publisher

National Library of Serbia

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