scholarly journals EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC SYSTEM ON UNBOUNDED DOMAINS INVOLVING NONLINEAR BOUNDARY CONDITIONS

2020 ◽  
Vol 10 (3) ◽  
pp. 1094-1106
Author(s):  
Somayeh Khademloo ◽  
◽  
Ghasem Alizadeh Afrouzi ◽  
Jiafa Xu ◽  
◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Elliptic System ◽  
Nonlinear Boundary ◽  
Unbounded Domains ◽  
Nonlinear Boundary Conditions ◽  
Quasilinear Elliptic System ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
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.

Multiple solutions for a class of quasilinear elliptic equations of p(x)-Laplacian type with nonlinear boundary conditions

2010 ◽  
Vol 140 (2) ◽  
pp. 259-272 ◽  
Author(s):  
Nguyen Thanh Chung ◽  
Quôc-Anh Ngô
Keyword(s):  
Boundary Conditions ◽  
Elliptic Equations ◽  
Nonlinear Boundary ◽  
Smooth Boundary ◽  
Nonlinear Boundary Conditions ◽  
Quasilinear Elliptic Equations ◽  
Existence And Multiplicity ◽  
Image Position ◽  
Quasilinear Elliptic ◽  
Outer Unit

Using variational methods we study the non-existence and multiplicity of non-negative solutions for a class of quasilinear elliptic equations of p(x)-Laplacian type with nonlinear boundary conditions of the formwhere Ω; is a bounded domain with smooth boundary, n is the outer unit normal to ∂Ω and λ is a parameter. Furthermore, we want to emphasize that g : ∂Ω × [0,∞)→ ℝ is a continuous function that may or may not satisfy the Ambrosetti–Rabinowitz-type condition.

scholarly journals Existence for an elliptic system with nonlinear boundary conditions

2010 ◽  
Vol 28 (2) ◽  
Author(s):  
A. Anane ◽  
Omar Chakrone ◽  
Belhadj Karim ◽  
Abdellah Zerouali
Keyword(s):  
Boundary Conditions ◽  
Elliptic System ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions

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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