用变分方法研究了一类四阶非线性p-拉普拉斯离散问题解的存在性

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-29 DOI:10.5269/bspm.63267

O. Hammouti, Abdelrachid El Amrouss

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引用次数: 0

摘要

考虑一类四阶非线性p-拉普拉斯差分方程的边值问题，并证明其存在至少两个非平凡解。我们的方法主要基于变分法和临界点理论。其中包括一个示例来说明结果。

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Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method

We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation and to prove the existence of at least two nontrivial solutions. Our approach is mainly based on the variational method and critical point theory. One example is included to illustrate the result.

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