一类非局部Neumann - p- laplace问题的多重解

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-07-11 DOI:10.1016/j.nonrwa.2025.104449

Ángel Crespo-Blanco , Giuseppe Failla , Bruno Vassallo

引用次数: 0

摘要

证明了一类具有非齐次Neumann边界条件的非局部p- laplace问题的多对正光滑解的存在性。采用全变分方法。此外，我们从变分问题转移到一维不动点映射。最后，我们的解在lq -范数上排序，并给出了一个结论性的例子。

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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Multiple solutions for a nonlocal Neumann p-Laplacian problem

We prove the existence of multiple pairs of positive smooth solutions for a nonlocal

p

-Laplacian problem with a non-homogeneous Neumann boundary condition. A fully variational approach is used. Moreover, we move from a variational problem to a one-dimensional fixed-point map. Finally, our solutions are ordered in

L^{q}

-norm and a conclusive example is furnished.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.