具有高度不连续非线性的椭圆Neumann问题

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-07 DOI:10.1016/j.aml.2025.109455

Giuseppina D’Aguì, Valeria Morabito, Patrick Winkert

引用次数: 0

摘要

本文研究了包含p-拉普拉斯算子且服从诺伊曼边值条件的非线性微分问题，其中右手边包含一个高度不连续的非线性。利用适合于非光滑泛函的变分方法，证明了这类问题的至少两个非平凡弱解的存在性。

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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Elliptic Neumann problems with highly discontinuous nonlinearities

This paper investigates nonlinear differential problems involving the p-Laplace operator and subject to Neumann boundary value conditions whereby the right-hand side consists of a nonlinearity which is highly discontinuous. Using variational methods suitable for nonsmooth functionals, we prove the existence of at least two nontrivial weak solutions of such problems.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.