Nonlinear Eigenvalues for a Quasilinear Elliptic System in Orlicz–Sobolev Spaces

2006 ◽  
Vol 18 (4) ◽  
pp. 901-929 ◽  
Author(s):  
Jorge Huentutripay ◽  
Raúl Manásevich
Keyword(s):  
Elliptic System ◽  
Sobolev Spaces ◽  
Quasilinear Elliptic System ◽  
Nonlinear Eigenvalues ◽  
Quasilinear Elliptic

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.

MULTIPLICITY RESULTS FOR A QUASILINEAR ELLIPTIC SYSTEM VIA MORSE THEORY

2005 ◽  
Vol 07 (02) ◽  
pp. 227-249 ◽  
Author(s):  
SILVIA CINGOLANI ◽  
MONICA LAZZO ◽  
GIUSEPPINA VANNELLA
Keyword(s):  
Banach Space ◽  
Elliptic System ◽  
Laplace Operator ◽  
Morse Theory ◽  
Quasilinear Elliptic System ◽  
Quasilinear Equations ◽  
Multiplicity Results ◽  
New Perturbation ◽  
Quasilinear Elliptic

In this work we prove some multiplicity results for solutions of a system of elliptic quasilinear equations, involving the p-Laplace operator (p > 2). The proof are based on variational and topological arguments and makes use of new perturbation results in Morse theory for the Banach space [Formula: see text].

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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