带类p(x)-拉普拉斯算子的双非局部问题的无穷多解

Abstract

Abstract: In this article, we study a class of bi-nonlocal Dirichlet problem involving p(x)-Laplacian-like operator via variational methods. Using the fountain theorem and the symmetric mountain pass theorem, the existence of a sequence of high and low energy solutions for this problem are obtained, respectively.

Key words: Variational methods, Critical point, p(x)-Laplacian-like operator, Nonlocal problem, Weak solutions

CLC Number:

O177.91

Zhang Shengui. Infinitely Many Solutions for a Bi-Nonlocal Problem Involving p(x)-Laplacian-Like Operator[J].Acta mathematica scientia,Series A, 2018, 38(3): 514-526.

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References

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Infinitely Many Solutions for a Bi-Nonlocal Problem Involving p(x)-Laplacian-Like Operator

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