一类新的p(x)-Kirchhoff问题解的多重性

IF 0.9 3区数学 Q2 MATHEMATICS, APPLIED

Bulletin des Sciences Mathematiques Pub Date : 2024-11-19 DOI:10.1016/j.bulsci.2024.103537

Chunbo Lian , Bin Ge , Lijiang Jia

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引用次数: 0

摘要

研究了不具有Ambrosetti-Rabinowitz型条件的非局部p(x)-Kirchhoff方程。在非线性项g的极弱假设下，利用变分方法建立了非平凡解存在性的一些结果。此外，我们还研究了偶能泛函无穷多解的存在性。我们的结果可以看作是对Hamdani et al.（2020）的相应结果的改进、补充和扩展。

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Multiplicity of solutions for a class of new p(x)-Kirchhoff problem

The nonlocal

p (x)

-Kirchhoff equations without the Ambrosetti-Rabinowitz type condition are considered in this paper. Under very weak assumptions on the nonlinear term g, we establish some results about the existence of nontrivial solutions by using variational methods. In addition, we also study the existence of infinitely many solutions for even energy functional. Our results can be viewed as the improvement, supplementation and extension of the corresponding results obtained by Hamdani et al. (2020).

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