scholarly journals Existence of entropy solutions for some nonlinear problems in Orlicz spaces

2002 ◽  
Vol 7 (2) ◽  
pp. 85-102 ◽  
Author(s):  
A. Benkirane ◽  
J. Bennouna
Keyword(s):  
Sobolev Spaces ◽  
Orlicz Spaces ◽  
Elliptic Problems ◽  
Nonlinear Problems ◽  
Entropy Solutions ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic

We study in the framework of Orlicz Sobolev spacesW01LM(Ω), the existence of entropic solutions to the nonlinear elliptic problems:−div a(x,u,∇u)+div Φ(u)=f in Ω, for the case where the second member of the equationf∈L 1(Ω), andΦ∈(C0(ℝ))N.

scholarly journals Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces

2012 ◽  
Vol 253 (2) ◽  
pp. 635-666 ◽  
Author(s):  
Piotr Gwiazda ◽  
Petra Wittbold ◽  
Aneta Wróblewska ◽  
Aleksandra Zimmermann
Keyword(s):  
Orlicz Spaces ◽  
Elliptic Problems ◽  
Renormalized Solutions ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic

scholarly journals On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

2019 ◽  
Vol 5 (1) ◽  
pp. 104-116
Author(s):  
Badr El Haji ◽  
Mostafa El Moumni ◽  
Khaled Kouhaila
Keyword(s):  
Sobolev Spaces ◽  
Elliptic Equations ◽  
Entropy Solution ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Equations ◽  
Monotonicity Condition ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic ◽  
Right Hand ◽  
L1 Data

AbstractWe prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).

scholarly journals Localization of solutions for nonlinear elliptic problems with critical growth

2006 ◽  
Vol 343 (11-12) ◽  
pp. 725-730 ◽  
Author(s):  
Rejeb Hadiji ◽  
Riccardo Molle ◽  
Donato Passaseo ◽  
Habib Yazidi
Keyword(s):  
Elliptic Problems ◽  
Critical Growth ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic
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