Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2024-01-01 DOI:10.1515/anona-2023-0104

B. Ricceri

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引用次数: 0

Abstract

Let

Ω ⊂ R n

\Omega \subset {{\bf{R}}}^{n}

be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let

q ∈ ] 0 , 1 [

q\in ]0,1{[}

α ∈ L ∞ ( Ω )

\alpha \in {L}^{\infty }\left(\Omega )

, with

α > 0

\alpha \gt 0

, and

k ∈ N

k\in {\bf{N}}

. Then, the problem − tan ∫ Ω ∣ ∇ u ( x ) ∣ 2 d x Δ u = α ( x ) u q in Ω u > 0 in

查看原文本刊更多论文

涉及不连续基尔霍夫函数的非局部问题的正解的存在性、唯一性、局部性和最小化特性

让 Ω ⊂ R n\Omega \子集 {{\bf{R}}}^{n} 是一个光滑有界域。本文将证明一个结果，下面是其副产品：设 q∈ ] 0 , 1 [ q\in ]0,1{[} , α ∈ L ∞ ( Ω ) \α > 0 \alpha \gt 0 , and k ∈ N k\in {bf{N}}. .

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

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.