Resonant solutions for elliptic systems with Neumann boundary conditions

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI:10.58997/ejde.sp.02.d1

B. B. Delgado, R. Pardo

引用次数: 0

Abstract

We consider a sublinear perturbation of an elliptic eigenvalue system with homogeneous Neumann boundary conditions. For oscillatory nonlinearities and using bifurcation from infinity, we prove the existence of an unbounded sequence of turning points and an unbounded sequence of resonant solutions. See also https://ejde.math.txstate.edu/special/02/d1/abstr.html

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具有Neumann边界条件的椭圆系统的共振解

考虑具有齐次诺依曼边界条件的椭圆型特征值系统的次线性扰动。对于振荡非线性，利用无穷分岔，证明了一个无界的转折点序列和一个无界的谐振解序列的存在性。参见https://ejde.math.txstate.edu/special/02/d1/abstr.html

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

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.