On the Existence of Boundary Blow-up Solutions for a General Class of Quasilinear Elliptic Systems

2014 ◽  
Vol 14 (4) ◽  
Author(s):  
Sonia Ben Othman ◽  
Rym Chemmam ◽  
Paul Sauvy
Keyword(s):  
Boundary Conditions ◽  
Elliptic System ◽  
General Class ◽  
Blow Up ◽  
Elliptic Systems ◽  
Quasilinear Elliptic System ◽  
Smooth Bounded Domain ◽  
Quasilinear Elliptic Systems ◽  
System P ◽  
Quasilinear Elliptic

AbstractIn this paper, we investigate the following quasilinear elliptic system (P) with explosive boundary conditions:ΔΔwhere Ω is a smooth bounded domain of ℝ

Boundedness and blow-up of solutions for a nonlinear elliptic system

2014 ◽  
Vol 25 (09) ◽  
pp. 1450091 ◽  
Author(s):  
Dragos-Patru Covei
Keyword(s):  
Stochastic Processes ◽  
Elliptic System ◽  
Blow Up ◽  
Elliptic Systems ◽  
Existence Results ◽  
Nonlinear Elliptic System ◽  
Unbounded Solutions ◽  
Nonlinear Elliptic ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

The main objective in this paper is to obtain the existence results for bounded and unbounded solutions of some quasilinear elliptic systems. Related results as obtained here have been established recently in [C. O. Alves and A. R. F. de Holanda, Existence of blow-up solutions for a class of elliptic systems, Differ. Integral Eqs.26(1/2) (2013) 105–118]. Also, we present some references to give the connection between these types of problems with probability and stochastic processes, hoping that these are interesting for the audience of analysts likely to read this paper.

scholarly journals Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior

2010 ◽  
Vol 2010 ◽  
pp. 1-17
Author(s):  
Lin Wei ◽  
Zuodong Yang
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic System ◽  
Smooth Boundary ◽  
Upper And Lower Solutions ◽  
Elliptic Systems ◽  
Quasilinear Elliptic System ◽  
Localization Method ◽  
Large Solutions ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.

On strongly quasilinear elliptic systems with weak monotonicity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Elhoussine Azroul ◽  
Farah Balaadich
Keyword(s):  
Elliptic System ◽  
Sobolev Spaces ◽  
Elliptic Systems ◽  
Existence Results ◽  
Young Measures ◽  
Quasilinear Elliptic System ◽  
Quasilinear Elliptic Systems ◽  
Weak Monotonicity ◽  
Quasilinear Elliptic

Abstract In this paper, we prove existence results in the setting of Sobolev spaces for a strongly quasilinear elliptic system by means of Young measures and mild monotonicity assumptions.

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