Entire solutions to a quasilinear purely critical competitive system

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-08-26 DOI:10.1016/j.jde.2025.113717

Mónica Clapp, Víctor A. Vicente-Benítez

引用次数: 0

Abstract

We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the p-Laplacian in

R^{N}

whose nonlinear terms are purely critical.

We also show that the purely critical equation for the p-Laplacian in

R^{N}

has infinitely many nodal solutions.

查看原文本刊更多论文

拟线性纯临界竞争系统的完整解

本文建立了一类非线性项为纯临界的弱耦合竞争系统的非负分量完全非平凡解的存在性。我们还证明了RN中p-拉普拉斯算子的纯临界方程具有无穷多个节点解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics