含1-二次谐波算子的拟线性方程非平凡解的存在性

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-01-03 DOI:10.3233/asy-221822

Huo Tao, Lin Li, Xiao-Qiong Yang

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引用次数: 0

摘要

本文研究了一类非线性满足适当条件的含1-双调和算子的拟线性椭圆型问题的存在性。通过对局部Lipschitz泛函的新版山口定理证明了存在性定理，其中它被认为是Cerami紧致条件而不是Palais-Smale条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator

In this paper, we study the existence results of a quasilinear elliptic problem involving the 1-biharmonic operator in R N , whose nonlinearity satisfies appropriate conditions. The existence theorem is proved through a new version of the Mountain Pass Theorem to locally Lipschitz functionals, where it is considered the Cerami compactness condition rather than the Palais–Smale one.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.