Existence of solution for a singular elliptic system with convection terms

被引：7

作者：

Correa, Francisco Julio S. A. ^{[1
]}

dos Santos, Gelson C. G. ^{[2
]}

Tavares, Leandro S. ^{[3
]}

Muhassua, Sabado Saide ^{[4
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58109970 Campina Grande, PB, Brazil

[2] Univ Fed Para, Fac Matemat, BR-66075110 Belem, PA, Brazil

[3] Univ Fed Cariri, Ctr Ciencias & Tecnol, BR-63048080 Juazeiro Do Norte, CE, Brazil

[4] Univ Rovuma, Fac Ciencias Nat Matemat & Estat, Nampula 544, Mozambique

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2022年 / 66卷

关键词：

Quasilinear operator; Singular elliptic system; Convection term; Hardy-Sobolev inequality; Approximation argument; LINEAR SCHRODINGER-EQUATIONS; NONLINEAR DIRICHLET PROBLEM; POSITIVE SOLUTIONS; NONEXISTENCE; BIFURCATION; SOLITON; GROWTH;

D O I：

10.1016/j.nonrwa.2022.103549

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use the dual approach introduced by Colin and Jeanjean (2004) and Liu et al. (2003) combined with a Rabinowitz's result, Galerkin's method and an approximation argument to show the existence of solution for the following quasilinear Schrodinger elliptic system with both singular and convection terms & nbsp;& nbsp;{delta- z - delta(z(2))z = mu(1)w theta 1 z-(gamma 1) + z alpha 1 + | backward difference w|eta 1 in omega,& nbsp;delta & nbsp;w - delta(w(2))w = mu(2)z(theta 2) w-(gamma 2) + w alpha 2 + | backward difference z|eta 2 in 1 omega & nbsp;, z, w > 0 in 1 omega, z = w = 0 on & part;& nbsp;omega,& nbsp;where omega is a bounded domain of N (N >= 3) with smooth boundary, mu(i), theta(i), gamma(i), alpha(i) eta(i) > 0, i = 1,2 are real parameters.(C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：18

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