Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function

Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function

In this paper, we study a class of p(x)-biharmonic problems with negative nonlocal terms and weight function. Using the mountain pass theorem and the Ekeland's variational principle, at least three solutions are obtained. We also give some comments on the existence of infinite many solutions fo...

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Bibliographic Details
Main Authors: Wei Guo, Jinfu Yang, Jiafeng Zhang
Format: Article
Language:English
Published: AIMS Press 2022-02-01
Series:AIMS Mathematics
Subjects:
nontrivial solutions
p(x)-biharmonic problem
mountain pass theorem
ekeland's variational principle
variable exponent
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022473?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022473?viewType=HTML

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