Asymptotic behavior of solutions of some quasilinear elliptic systems in exterior domains

1988 ◽  
pp. 297-316
Author(s):  
Michael Meier
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic Systems ◽  
Asymptotic Behavior Of Solutions ◽  
Exterior Domains ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

scholarly journals Positive radial solutions for some quasilinear elliptic systems in exterior domains

2006 ◽  
Vol 5 (3) ◽  
pp. 571-581 ◽  
Author(s):  
João Marcos do Ó ◽  
◽  
Sebastián Lorca ◽  
Justino Sánchez ◽  
Pedro Ubilla ◽  
...  
Keyword(s):  
Elliptic Systems ◽  
Radial Solutions ◽  
Exterior Domains ◽  
Quasilinear Elliptic Systems ◽  
Positive Radial Solutions ◽  
Quasilinear Elliptic

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.

scholarly journals Quasilinear elliptic systems in divergence form associated to general nonlinearities

2018 ◽  
Vol 7 (4) ◽  
pp. 425-447 ◽  
Author(s):  
Lorenzo D’Ambrosio ◽  
Enzo Mitidieri
Keyword(s):  
Positive Solutions ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Systems ◽  
Divergence Form ◽  
Systems Of Equations ◽  
Quasilinear Elliptic Systems ◽  
Open Set ◽  
Priori Estimates ◽  
Quasilinear Elliptic

AbstractThe paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of {\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local assumption near zero. As a consequence, in the case {\Omega=\mathbb{R}^{N}}, we obtain nonexistence theorems of positive solutions. No hypotheses on the solutions at infinity are assumed.

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