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

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials 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

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567