Symmetry breaking for nonhomogeneous Hénon-type problems involving the 1-Laplacian operator

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-08-16 DOI:10.1016/j.nonrwa.2025.104480

Marcos T.O. Pimenta , Yino B. Cueva Carranza , Giovany M. Figueiredo , Olimpio Hiroshi Miyagaki

引用次数: 0

Abstract

In this paper we study the nonhomogeneous Hénon elliptic problem involving the 1-Laplacian operator within the unit ball. Under some assumptions on the nonlinearity, and for sufficiently large parameter values, we establish the existence of a non-radial solution. Our approach relies on an approximation scheme in which the solution is obtained as the limit of solutions to

p

-Laplacian type problems.

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涉及1-拉普拉斯算子的非齐次hsamnon型问题的对称性破缺

本文研究了单位球内包含1-拉普拉斯算子的非齐次hsamunon椭圆问题。在一定的非线性假设下，对于足够大的参数值，我们建立了非径向解的存在性。我们的方法依赖于一种近似格式，在这种近似格式中，解作为p-拉普拉斯型问题的解的极限得到。

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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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.