Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains are proved by using the variational method and Pohozaev identity, respectively.

Saved in:
Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 21; no. 1; pp. 437 - 477
Main Author Li, Yuanyuan
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 29.07.2023
De Gruyter Poland
Subjects
35D30
35J20
Boundary conditions
critical point
Dirichlet problem
Elliptic functions
elliptic problem
existence
Pohozaev identity
Online AccessGet full text

Cover

More Information
Summary:In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains are proved by using the variational method and Pohozaev identity, respectively.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2022-0605