Fares Mokhtari - Academia.edu (original) (raw)
Professor in Mathematics
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Papers by Fares Mokhtari
Journal of Mathematical Sciences: Advances and Applications, 2016
In this work, we prove existence and regularity of weak solutions for a class of nonlinear ellipt... more In this work, we prove existence and regularity of weak solutions for a class of nonlinear elliptic equations with variable exponents and measure or m L data, with m being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.
Moroccan Journal of Pure and Applied Analysis, 2015
In this paper we prove existence results for distributional solutions of nonlinear elliptic syste... more In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(·)(Ω) and Mp(·)(Ω) respectively.
In this article, we prove the existence and the regularity of distri-butional solutions for a cla... more In this article, we prove the existence and the regularity of distri-butional solutions for a class of nonlinear anisotropic elliptic equations with p i (x) growth conditions, degenerate coercivity and L m(·) data, with m(·) being small, in appropriate Lebesgue-Sobolev spaces with variable exponents. The obtained results extend some existing ones [8, 10].
Journal of Elliptic and Parabolic Equations
Complex Variables and Elliptic Equations
In this article, we prove the existence and the regularity of distributional solutions for a clas... more In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with p i (x) growth conditions, degenerate coercivity and L m(•) data, with m(•) being small, in appropriate Lebesgue-Sobolev spaces with variable exponents. The obtained results extend some existing ones [8, 10].
In this work, we prove existence and regularity of weak solutions for a class of nonlinear ellipt... more In this work, we prove existence and regularity of weak solutions for a class of nonlinear elliptic equations with variable exponents and measure or L^m data, with m being small.
The functional setting involves Lebesgue-Sobolev spaces with variable exponents.
Journal of Mathematical Sciences: Advances and Applications, 2016
In this work, we prove existence and regularity of weak solutions for a class of nonlinear ellipt... more In this work, we prove existence and regularity of weak solutions for a class of nonlinear elliptic equations with variable exponents and measure or m L data, with m being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.
Moroccan Journal of Pure and Applied Analysis, 2015
In this paper we prove existence results for distributional solutions of nonlinear elliptic syste... more In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(·)(Ω) and Mp(·)(Ω) respectively.
In this article, we prove the existence and the regularity of distri-butional solutions for a cla... more In this article, we prove the existence and the regularity of distri-butional solutions for a class of nonlinear anisotropic elliptic equations with p i (x) growth conditions, degenerate coercivity and L m(·) data, with m(·) being small, in appropriate Lebesgue-Sobolev spaces with variable exponents. The obtained results extend some existing ones [8, 10].
Journal of Elliptic and Parabolic Equations
Complex Variables and Elliptic Equations
In this article, we prove the existence and the regularity of distributional solutions for a clas... more In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with p i (x) growth conditions, degenerate coercivity and L m(•) data, with m(•) being small, in appropriate Lebesgue-Sobolev spaces with variable exponents. The obtained results extend some existing ones [8, 10].
In this work, we prove existence and regularity of weak solutions for a class of nonlinear ellipt... more In this work, we prove existence and regularity of weak solutions for a class of nonlinear elliptic equations with variable exponents and measure or L^m data, with m being small.
The functional setting involves Lebesgue-Sobolev spaces with variable exponents.