Existence of Positive and Sign-Changing Solutions to a Coupled Elliptic System with Mixed Nonlinearity Growth

2020 ◽  
Vol 21 (9) ◽  
pp. 2815-2860
Author(s):  
Jun Wang ◽  
Junxiang Xu
Keyword(s):  
Elliptic System ◽  
Mixed Nonlinearity ◽  
Sign Changing Solutions

Sign-changing solutions of an elliptic system with critical exponent in dimension N = 5

2019 ◽  
Vol 137 (1) ◽  
pp. 231-249 ◽  
Author(s):  
Shuangjie Peng ◽  
Yanfang Peng ◽  
Qingfang Wang
Keyword(s):  
Critical Exponent ◽  
Elliptic System ◽  
Sign Changing Solutions

scholarly journals Sign Changing Solutions for Coupled Critical Elliptic Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Xin Wang ◽  
Xiaorui Yue
Keyword(s):  
Critical Exponent ◽  
Elliptic System ◽  
Elliptic Equations ◽  
Coupling Parameter ◽  
Symmetric Case ◽  
Sign Changing Solutions ◽  
Sobolev Critical Exponent

In this paper, we consider the coupled elliptic system with a Sobolev critical exponent. We show the existence of a sign changing solution for problem P for the coupling parameter −μ1μ2<β<0. We also construct multiple sign changing solutions for the symmetric case.

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