凸环中不连续半线性椭圆方程的自由边界问题

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2024-01-22 DOI:10.1080/17476933.2024.2303440

Sabri Bensid

引用次数: 0

摘要

本文考虑以下自由边界问题： (P){Δu=λϕ(x)∑i=1nH(u-μi)inΩ=Ω2∖Ω¯1,u=0on∂Ω2,u=Mon∂Ω1.域 Ω 是一个凸环，其中 Ω1 和 Ω2 是 R 中的有界凸域...

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 free boundary problem for discontinuous semilinear elliptic equations in convex ring

In this paper, we consider the following free boundary problem: (P){Δu=λϕ(x)∑i=1nH(u−μi)inΩ=Ω2∖Ω¯1,u=0on∂Ω2,u=Mon∂Ω1. The domain Ω is a convex ring where Ω1 and Ω2 are bounded convex domains in R...

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.