Nonlinear unilateral problems without sign condition in Musielak spaces

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Sidi Mohamed Douiri ◽  
Abdelmoujib Benkirane ◽  
Mustafa Ait Khellou ◽  
Youssef El Hadfi
Keyword(s):  
Sign Condition ◽  
Unilateral Problems

scholarly journals Strongly nonlinear elliptic variational unilateral problems in Orlicz space

2006 ◽  
Vol 2006 ◽  
pp. 1-20 ◽  
Author(s):  
L. Aharouch ◽  
A. Benkirane ◽  
M. Rhoudaf
Keyword(s):  
Existence Result ◽  
Order Term ◽  
Natural Growth ◽  
Unilateral Problem ◽  
Strongly Nonlinear ◽  
Nonlinear Elliptic ◽  
Sign Condition ◽  
Carathéodory Function ◽  
Unilateral Problems ◽  
The Right

We will be concerned with the existence result of unilateral problem associated to the equations of the formAu+g(x,u,∇u)=f, whereAis a Leray-Lions operator from its domainD(A)⊂W01LM(Ω)intoW−1EM¯(Ω). On the nonlinear lower order termg(x,u,∇u), we assume that it is a Carathéodory function having natural growth with respect to|∇u|, and satisfies the sign condition. The right-hand sidefbelongs toW−1EM¯(Ω).

Existence results for some unilateral problems without sign condition with obstacle free in Orlicz spaces

2008 ◽  
Vol 68 (8) ◽  
pp. 2362-2380 ◽  
Author(s):  
L. Aharouch ◽  
A. Benkirane ◽  
M. Rhoudaf
Keyword(s):  
Orlicz Spaces ◽  
Existence Results ◽  
Sign Condition ◽  
Unilateral Problems

scholarly journals Strongly nonlinear elliptic unilateral problems without sign condition and with free obstacle in Musielak-Orlicz spaces

2021 ◽  
Vol 55 (1) ◽  
pp. 43-70
Author(s):  
Abdeslam Talha ◽  
Mohamed Saad Bouh Elemine Vall
Keyword(s):  
Nonlinear Term ◽  
Existence Of Solutions ◽  
Orlicz Spaces ◽  
Growth Conditions ◽  
Strongly Nonlinear ◽  
Nonlinear Elliptic ◽  
Sign Condition ◽  
Unilateral Problems ◽  
Sign Conditions ◽  
Lower Order Terms

In this paper, we prove the existence of solutions to an elliptic problem containing two lower order terms, the first nonlinear term satisfying the growth conditions and without sign conditions and the second is a continuous function on R.

scholarly journals Quasilinear degenerate elliptic unilateral problems

2005 ◽  
Vol 2005 (1) ◽  
pp. 11-31 ◽  
Author(s):  
L. Aharouch ◽  
Y. Akdim ◽  
E. Azroul
Keyword(s):  
Lower Order ◽  
Existence Result ◽  
Order Term ◽  
Natural Growth ◽  
Unilateral Problem ◽  
Sign Condition ◽  
Carathéodory Function ◽  
Degenerate Elliptic ◽  
Unilateral Problems ◽  
The Right

We will be concerned with the existence result of a degenerate elliptic unilateral problem of the formAu+H(x,u,∇u)=f, whereAis a Leray-Lions operator fromW1,p(Ω,w)into its dual. On the nonlinear lower-order termH(x,u,∇u), we assume that it is a Carathéodory function having natural growth with respect to|∇u|, but without assuming the sign condition. The right-hand sidefbelongs toL1(Ω).

Existence and regularity results for unilateral problems with degenerate coercivity

2019 ◽  
Vol 69 (6) ◽  
pp. 1351-1366 ◽  
Author(s):  
Hocine Ayadi ◽  
Rezak Souilah
Keyword(s):  
Penalty Method ◽  
Degenerate Coercivity ◽  
Unilateral Problems ◽  
Existence And Regularity Results ◽  
Regularity Results

Abstract In this paper we prove some existence and regularity results for nonlinear unilateral problems with degenerate coercivity via the penalty method.

The FEM and BEM for fractal boundaries and interfaces. Applications to unilateral problems

1997 ◽  
Vol 64 (1-4) ◽  
pp. 329-339 ◽  
Author(s):  
O.K. Panagouli ◽  
P.D. Panagiotopoulos
Keyword(s):  
Unilateral Problems

Oscillatory Criteria for Nonlinear nth-Order Differential Equations with Quasiderivatives

1996 ◽  
Vol 3 (4) ◽  
pp. 301-314
Author(s):  
Miroslav Bartušek
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Sufficient Conditions ◽  
Sign Condition ◽  
Proper Solutions

Abstract Sufficient conditions are given for the existence of oscillatory proper solutions of a differential equation with quasiderivatives Lny = f(t, L 0 y, . . . , L n–1 y) under the validity of the sign condition f(t, x 1, . . . , xn )x 1 ≤ 0, f(t, 0, x 2, . . . , xn ) = 0 on .

Existence of renormalized solutions for parabolic equations without the sign condition and with three unbounded nonlinearities

2012 ◽  
Vol 39 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Y. Akdim ◽  
J. Bennouna ◽  
M. Mekkour ◽  
H. Redwane
Keyword(s):  
Parabolic Equations ◽  
Renormalized Solutions ◽  
Sign Condition
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