具有凹凸非线性的薛定谔-基尔霍夫方程的无限多解

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2024-05-30 DOI:10.1080/00036811.2024.2357244

Shuai Jiang, Li-Feng Yin

引用次数: 0

摘要

本文研究以下薛定谔-基尔霍夫方程-(a+b∫R3∇|u|2dx)Δu+V(x)u=k(x)|u|q-2u-h(x)|u|p-2u,u∈H1(R3)，其中 a 和 b 为正常数，1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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Infinitely many solutions for a Schrödinger–Kirchhoff equations with concave and convex nonlinearities

This paper is concerned with the following Schrödinger–Kirchhoff equation −(a+b∫R3|∇u|2dx)Δu+V(x)u=k(x)|u|q−2u−h(x)|u|p−2u,u∈H1(R3), where a and b are positive constants, 1

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.