超线性双相问题非平凡解的发散序列

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-03-06 DOI:10.3233/asy-231830

Nikolaos S. Papageorgiou, C. Vetro, F. Vetro

引用次数: 0

摘要

我们考虑了一个双相(不平衡增长)Dirichlet问题，其carath反应f (z, x)在x上是超线性的，但不满足ar条件。利用对称山口定理，我们得到了发散到无穷远的不同有界解的整个序列。

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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Divergent sequence of nontrivial solutions for superlinear double phase problems

We consider a double phase (unbalanced growth) Dirichlet problem with a Carathéodory reaction f ( z , x ) which is superlinear in x but without satisfying the AR-condition. Using the symmetric mountain pass theorem, we produce a whole sequence of distinct bounded solutions which diverge to infinity.

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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.