On the mixed local-nonlocal Hénon equation

IF 1.8 4区数学 Q1 MATHEMATICS

Differential and Integral Equations Pub Date : 2021-07-20 DOI:10.57262/die035-1112-795

A. Salort, E. Vecchi

引用次数: 18

Abstract

In this paper we consider a H\'{e}non-type equation driven by a nonlinear operator obtained as a combination of a local and nonlocal term. We prove existence and non-existence akin to the classical result by Ni, and a stability result as the fractional parameter $s \to 1$.

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关于混合局部非局部Hénon方程

在本文中，我们考虑一个H\'{e}non-type由非线性算子驱动的方程，该算子是局部项和非局部项的组合。我们证明了类似于Ni的经典结果的存在性和不存在性，以及作为分数参数$s\-1$的稳定性结果。

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

Differential and Integral Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential and Integral Equations will publish carefully selected research papers on mathematical aspects of differential and integral equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new, and of interest to a substantial number of mathematicians working in these areas.