Real solutions to an asymptotically linear Helmholtz equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-27 DOI:10.1016/j.aml.2025.109473

Biao Liu, Ruowen Qiu, Fukun Zhao

引用次数: 0

Abstract

In this paper, we study real solutions of the nonlinear Helmholtz equation −Δu−k2u=f(x,u),x∈RN, satisfying the asymptotic conditions u(x)=O|x|1−N2and∂2u∂r2(x)+k2u(x)=o|x|1−N2asr=|x|→∞.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.