无界区域上minkowski曲率的区间分岔和正解

IF 1.2 3区 数学 Q1 MATHEMATICS Journal of Mathematical Analysis and Applications Pub Date : 2025-08-15 Epub Date: 2025-02-26 DOI:10.1016/j.jmaa.2025.129422
Tianlan Chen
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引用次数: 0

摘要

在无界域- div(∇u1−|∇u|2)=λf(x,u),x∈RN,u→0上构造了以下minkowski -曲率问题的平凡解的径向正解区间的分岔,其中f在零处不一定线性。主要结果的证明是基于拓扑度和全局分岔技术。
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Bifurcation from interval and positive solutions of Minkowski-curvature on unbounded domain
We construct the bifurcation of interval of positive radial solutions from the trivial solution to the following Minkowski-curvature problems on unbounded domainsdiv(u1|u|2)=λf(x,u),xRN,u0,as|x|+, where f is not necessarily linearizable at zero. The proof of main results are based on the topological degree and global bifurcation techniques.
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来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
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