The Existence and Multiplicity of Solutions for px-Laplacian-Like Neumann Problems

In the present paper, in view of the variational approach, we discuss the Neumann problems with px-Laplacian-like operator and nonstandard growth condition, originated from a capillary phenomena. By using the least action principle and fountain theorem, we prove the existence and multiplicity of sol...

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Bibliographic Details
Published in:Journal of function spaces 2023, Vol.2023
Main Authors: Chu, Changmu, Tang, Ying
Format: Article
Language:English
Subjects:
Banach spaces
Existence theorems
Growth conditions
Neumann problem
Principle of least action
Online Access:Get full text
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Summary:In the present paper, in view of the variational approach, we discuss the Neumann problems with px-Laplacian-like operator and nonstandard growth condition, originated from a capillary phenomena. By using the least action principle and fountain theorem, we prove the existence and multiplicity of solutions to the class of Neumann problems under suitable assumptions.
ISSN:2314-8896
2314-8888
DOI:10.1155/2023/6692867