Sign-Changing Solutions for Biharmonic Equations with Navier Boundary Conditions

This work is concerned with sign-changing solutions to the biharmonic equation with Navier boundary conditions. By using the method of invariant sets of descending flow and symmetric mountain pass lemma, we obtain the existence of multiple sign-changing solutions when the nonlinear term is odd.

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-07, Vol.2022, p.1-6
Main Author: Jiang, Ruiting
Format: Article
Language:English
Subjects:
Biharmonic equations
Boundary conditions
Engineering
Fluid flow
Mountains
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Description
Summary:This work is concerned with sign-changing solutions to the biharmonic equation with Navier boundary conditions. By using the method of invariant sets of descending flow and symmetric mountain pass lemma, we obtain the existence of multiple sign-changing solutions when the nonlinear term is odd.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/6168666