超线性椭圆半分不等式

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI:10.15672/hujms.1173649

Yunru Bai, L. Gasiński, Nikolaos S. Papageorgiou

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引用次数: 0

摘要

研究了一类具有非光滑势的非线性非齐次Dirichlet问题，该问题具有超线性但不满足Ambrosetti-Rabinowitz条件。利用非光滑临界点理论和临界群证明了两个多重性定理，分别产生三个解和五个解。在第二重性定理中，我们为所有解提供了符号信息，并且解是有序的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Superlinear Elliptic Hemivariational Inequalities

We study a nonlinear nonhomogeneous Dirichlet problem with a nonsmooth potential which is superlinear but without satisfying the Ambrosetti-Rabinowitz condition. Using the nonsmooth critical point theory and critical groups we prove two multiplicity theorems producing three and five solutions respectively. In the second multiplicity theorem, we provide sign information for all the solutions and the solutions are ordered.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.