Positive solutions for a nonlinear nonlocal elliptic transmission problem

被引：243
|
作者：
Ma, TF [1 ]
Rivera, JEM
机构：
[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil
[2] Lab Nacl Computacao Cientif, BR-25651070 Petropolis, RJ, Brazil
[3] Univ Fed Rio de Janeiro, Inst Matemat, BR-21944900 Rio De Janeiro, RJ, Brazil
来源：
APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 02期
关键词：
elliptic system; transmission problem; positive solution;
D O I：
10.1016/S0893-9659(03)80038-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence and nonexistence of positive solutions for a transmission problem given by a system of two nonlinear elliptic equations of Kirchhoff type. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
下载
收藏
页码：243 / 248
页数：6
相关论文
共 50 条
  • [31] SOME NONLOCAL ELLIPTIC PROBLEM INVOLVING POSITIVE PARAMETER
    Mao, Anmin
    Jing, Runan
    Luan, Shixia
    Chu, Jinling
    Kong, Yan
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 42 (01) : 207 - 220
  • [32] Positive Solution to a Nonlinear Elliptic Problem
    Zeineb Ghardallou
    Potential Analysis, 2016, 44 : 449 - 472
  • [33] Existence of positive solutions for nonlocal and nonvariational elliptic systems
    Chen, YJ
    Gao, HJ
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 72 (02) : 271 - 281
  • [34] Existence of Positive Solutions for a Critical Nonlocal Elliptic System
    Costa, A. C. R.
    Figueiredo, G. M.
    Miyagaki, O. H.
    JOURNAL OF CONVEX ANALYSIS, 2022, 29 (04) : 1117 - 1117
  • [35] Positive solutions of nonlinear elliptic equations
    Wong, F. H.
    Wang, S. P.
    Yeh, C. C.
    APPLIED MATHEMATICS LETTERS, 2008, 21 (03) : 298 - 302
  • [36] POSITIVE SOLUTIONS FOR NONLINEAR ELLIPTIC SYSTEMS
    Ben Dekhil, Adel
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [37] Positive Solution to a Nonlinear Elliptic Problem
    Ghardallou, Zeineb
    POTENTIAL ANALYSIS, 2016, 44 (03) : 449 - 472
  • [38] Combining local and nonlocal terms in a nonlinear elliptic problem
    Correa, Francisco Julio S. A.
    Suarez, Antonio
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (05) : 547 - 563
  • [39] Solutions to nonlinear elliptic equations with a nonlocal boundary condition
    Wang, Yuandi
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2002,
  • [40] Existence of Weak Solutions for a Nonlocal Singular Elliptic Problem
    Chaharlang, M. Makvand
    Razani, A.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2021, 11 (01): : 80 - 91
12345