Existence of solutions for a class of obstacle problems with $$L^1$$ L 1 -data and without sign condition

Author:

Azroul Elhoussine,Benboubker Mohamed Badr,Hjiaj Hassane,Yazough Chihab

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference19 articles.

1. Aharouch, L., Akdim, Y.: Strongly nonlinear elliptic unilateral problems without sign condition and $$L^{1}$$ L 1 -data. J. Convex Anal. 13, 135–150 (2006)

2. Azroul, E., Benboubker, M.B., Ouaro, S.: The obstacle problem associated with nonlinear elliptic equations in generalized Sobolev spaces. Nonlinear Dyn. Syst. Theory 14(3), 223–242 (2014)

3. Benboubker, M.B., Azroul, E., Barbara, A.: Quasilinear elliptic problems with nonstandard growths. Electron. J. Differ. Equ. 62, 1–16 (2011)

4. Benboubker, M.B., Chrayteh, H., Hjiaj, H., Yazough, C.: Existence of solutions in the sense of distributions of anisotropic nonlinear elliptic equations with variable exponent. Topol. Methods Nonlinear Anal. (accepted)

5. Benboubker, M.B., Hjiaj, H., Ouaro, S.: Entropy solutions to nonlinear elliptic anisotropic problem with variable exponent. J. Appl. Anal. Comput. 4, 245–270 (2014)

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