The existence and nonexistence of normalized solutions for a p-Laplacian equation

In this paper, we are concerned with the existence of normalized solutions of a steady-state equation of the p-Laplacian equation. Furthermore, we discuss the nonexistence of normalized solutions.

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Bibliographic Details
Published inApplied mathematics letters Vol. 148; p. 108890
Main Authors Zhang, Jiafeng, Lei, Chunyu, Lei, Jun
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2024
Subjects
[formula omitted]-Laplacian equation
Normalized solutions
Pohozaev functional
Pohozaev functional
p-Laplacian equation
Normalized solutions
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Summary:In this paper, we are concerned with the existence of normalized solutions of a steady-state equation of the p-Laplacian equation. Furthermore, we discuss the nonexistence of normalized solutions.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2023.108890