临界指数增长加权Kirchhoff问题有符号解和变符号解的存在性

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED Acta Applicandae Mathematicae Pub Date : 2023-10-24 DOI:10.1007/s10440-023-00616-z

Brahim Dridi, Rached Jaidane, Rima Chetouane

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引用次数: 0

摘要

本文研究了一个非局部加权Schrödinger-Kirchhoff问题在（\mathbb｛R｝^｛N｝），（N＞2）的单位球\（B\）中的最小能量符号变换解的存在性。考虑到Trudinger-Moser型不等式，假设方程的非线性具有指数增长。为了得到我们的存在性结果，我们使用了Nehari集合中的约束极小化、定量变形引理和度理论的结果。

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Existence of Signed and Sign-Changing Solutions for Weighted Kirchhoff Problems with Critical Exponential Growth

This work is devoted to study the existence of least energy sign-changing solutions for a nonlocal weighted Schrödinger-Kirchhoff problem in the unit ball \(B\) of \(\mathbb{R}^{N}\), \(N>2\). The non-linearity of the equation is assumed to have exponential growth in view of Trudinger-Moser type inequalities. In order to obtain our existence result, we use the constrained minimization in Nehari set, the quantitative deformation Lemma and degree theory results.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.