各向异性Robin方程的多重性定理

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-02-15 DOI:10.4171/rlm/961

Nikolaos S. Papageorgiou, Patrick Winkert

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引用次数: 0

摘要

本文研究了一个由$p(x)$-拉普拉斯算子驱动的各向异性Robin问题和一个超线性反应。应用变分工具、截断和比较技术以及临界群，我们证明了这个问题至少有五个非平凡的光滑解是有序的，并且有符号信息:两个正的，两个负的，第五个节点。

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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A multiplicity theorem for anisotropic Robin equations

In this paper, we consider an anisotropic Robin problem driven by the $p(x)$-Laplacian and a superlinear reaction. Applying variational tools along with truncation and comparison techniques as well as critical groups, we prove that the problem has at least five nontrivial smooth solutions to be ordered and with sign information: two positive, two negative, and the fifth nodal.

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.