Multiple positive solutions for a critical quasilinear elliptic system with concave–convex nonlinearities

2009 ◽  
Vol 71 (7-8) ◽  
pp. 2688-2698 ◽  
Author(s):  
Tsing-San Hsu
Keyword(s):  
Elliptic System ◽  
Positive Solutions ◽  
Multiple Positive Solutions ◽  
Quasilinear Elliptic System ◽  
Quasilinear Elliptic

scholarly journals Existence of Positive Solutions for a Nonvariational Quasilinear Elliptic System

2000 ◽  
Vol 166 (2) ◽  
pp. 455-477 ◽  
Author(s):  
Philippe Clément ◽  
Jacqueline Fleckinger ◽  
Enzo Mitidieri ◽  
François de Thélin
Keyword(s):  
Elliptic System ◽  
Positive Solutions ◽  
Quasilinear Elliptic System ◽  
Existence Of Positive Solutions ◽  
Quasilinear Elliptic

scholarly journals The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Mustapha Khiddi
Keyword(s):  
Critical Exponent ◽  
Elliptic System ◽  
Positive Solutions ◽  
Bounded Domains ◽  
Quasilinear Elliptic System ◽  
Lusternik Schnirelmann ◽  
Sobolev Critical Exponent ◽  
Quasilinear Elliptic

In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by Benci and Cerami (1991), we obtain at least cat(Ω)+1 distinct positive solutions.

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