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2 results on '"Vally M"'

1. Variational inequalities in Musielak-Orlicz-Sobolev spaces.

Author

Benkirane, A. and El Vally, M. Sidi

Subjects
*SOBOLEV spaces, *ORLICZ spaces, *NONLINEAR boundary value problems, *QUASILINEARIZATION, *ELLIPTIC equations
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. Some results concerning the Trace mapping have also been provided, as well as existence results for some strongly nonlinear elliptic equations in Musielak-Orlicz spaces. [ABSTRACT FROM AUTHOR]

Published
2014
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2. An existence result for nonlinear elliptic equations in Musielak-Orlicz-Sobolev spaces.

Author

Benkirane, A. and El Vally, M. Sidi

Subjects
*NONLINEAR analysis, *ELLIPTIC equations, *ORLICZ spaces, *SOBOLEV spaces, *EMBEDDING theorems, *BOUNDARY value problems
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 spacesWmLφ(Ω), under the assumption that the conjugate function of φ satisfies the ∆2 condition. An imbedding theorem has also been provided without assuming this condition. [ABSTRACT FROM AUTHOR]

Published
2013
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