scholarly journals Existence of Weak Solutions for a Nonlinear Elliptic System

2009 ◽  
Vol 2009 ◽  
pp. 1-15
Author(s):  
Ming Fang ◽  
Robert P. Gilbert
Keyword(s):  
Elliptic System ◽  
Weak Solutions ◽  
Nonlinear Elliptic System ◽  
Existence Of Weak Solutions ◽  
Nonlinear Elliptic

scholarly journals Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Rafik Guefaifia ◽  
Salah Mahmoud Boulaaras ◽  
Sultan Alodhaibi ◽  
Salem Alkhalaf
Keyword(s):  
Elliptic System ◽  
Positive Solutions ◽  
Weak Solutions ◽  
Nonlinear Elliptic System ◽  
Bounded Domains ◽  
New Class ◽  
Nonlinear Elliptic ◽  
Sign Conditions

In this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of p,q Laplacian nonlinear elliptic system in bounded domains, when ax, bx,αx, and βx are sign-changing functions that maybe negative near the boundary, without assuming sign conditions on f0,g0,h0, and γ0.

On Some Generalized Compound Problem for a Nonlinear Elliptic System

1986 ◽  
Vol 126 (1) ◽  
pp. 55-62
Author(s):  
J. Wolska-Bochenek ◽  
L. Von Wolfersdorf
Keyword(s):  
Elliptic System ◽  
Nonlinear Elliptic System ◽  
Nonlinear Elliptic
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