Abstract
In this paper we prove an existence result for some class of variational boundary value problems for quasilinear elliptic equations in the Musielak-Orlicz spaces $W^mL_\varphi(\Omega)$, under the assumption that the conjugate function of $\varphi$ satisfies the $\Delta_2$ condition. An imbedding theorem has also been provided without assuming this condition.
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More From: Bulletin of the Belgian Mathematical Society - Simon Stevin
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