Regularity results for quasilinear elliptic systems with nonlinear boundary conditions

1995 ◽  
Vol 77 (4) ◽  
pp. 3277-3294 ◽  
Author(s):  
A. A. Arkhipova
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Boundary ◽  
Elliptic Systems ◽  
Nonlinear Boundary Conditions ◽  
Quasilinear Elliptic Systems ◽  
Regularity Results ◽  
Quasilinear Elliptic

scholarly journals Existence and Multiplicity of Nonnegative Solutions for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Jincheng Huang
Keyword(s):  
Boundary Conditions ◽  
Exterior Domain ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Multiplicity Results ◽  
Exterior Problems ◽  
Existence And Multiplicity ◽  
Nonnegative Solutions ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

Existence and multiplicity results are established for quasilinear elliptic problems with nonlinear boundary conditions in an exterior domain. The proofs combine variational methods with a fibering map, due to the competition between the different growths of the nonlinearity and nonlinear boundary term.

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

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