Normalized solutions for Kirchhoff equation with L2-critical exponents

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-07-25 DOI:10.1063/5.0180748

Changlin Liu, Ying Lv, Zengqi Ou

引用次数: 0

Abstract

In this paper, we study the nonexistence and existence of normalized solutions for the nonlinear Kirchhoff-type equation −a+b∫RN|∇u|2dxΔu=λu+|u|p−2u+|u|q−2u in RN with prescribed L2-norm, where N = 1, 2, 3, a, b > 0 are constants, q=2+8N is L2-critical exponent to Kirchhoff-type Equation, and p=2+4N is the L2-critical exponent to the “local” equation.

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具有 L2 临界指数的基尔霍夫方程的归一化解

本文研究了非线性基尔霍夫型方程-a+b∫RN|∇u|2dxΔu=λu+|u|p-2u+|u|q-2u在RN中的归一化解的非存在性和存在性，其中N = 1, 2, 3, a, b &；gt; 0 为常数，q=2+8N 为基尔霍夫方程的 L2 临界指数，p=2+4N 为 "局部 "方程的 L2 临界指数。

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

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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