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The p(.)-obstacle problem for quasilinear elliptic equations in Sobolev spaces with variable exponent

A. Baalal, A. Qabil

Abstract



We discuss the existence and uniqueness of solutions of the quasilinear elliptic equation in Sobolev spaces with variable exponent. These solutions are obtained by the p(.)-obstacle problem.

Keywords


Quasilinear elliptic equation, the p(.)-obstacle problem, variable exponent, the p(.)-supersolution, the p(.)-subsolution.

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