Existence and multiplicity of positive solutions for a critical weight elliptic system in ℝN-Reference-Cited by-同舟云学术

Existence and multiplicity of positive solutions for a critical weight elliptic system in ℝN

Published:2020-07-07 Issue:06 Volume:23 Page:2050027
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

da Silva João Pablo Pinheiro¹,de Oliveira Claudionei Pereira²

Affiliation:

1. Universidade Federal do Pará, Departamento de Matemática, Brazil

2. Universidade Federal do Sul e Sudeste do Pará, Departamento de Matemática, Brazil

Abstract

In this work, we study the following problem [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are the partial derivatives of the homogeneous function [Formula: see text], where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199720500273

Reference20 articles.

1. On systems of elliptic equations involving subcritical or critical Sobolev exponents

2. A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

3. Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

4. Existence of non-trivial solutions of elliptic variational systems in unbounded domains

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence and multiplicity results for a singular fourth-order elliptic system involving critical homogeneous nonlinearities;AIMS Mathematics;2023