Open Access
december 2014 Variational inequalities in Musielak-Orlicz-Sobolev spaces
A. Benkirane, M. Sidi El Vally
Bull. Belg. Math. Soc. Simon Stevin 21(5): 787-811 (december 2014). DOI: 10.36045/bbms/1420071854


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.


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A. Benkirane. M. Sidi El Vally. "Variational inequalities in Musielak-Orlicz-Sobolev spaces." Bull. Belg. Math. Soc. Simon Stevin 21 (5) 787 - 811, december 2014.


Published: december 2014
First available in Project Euclid: 1 January 2015

zbMATH: 1326.35142
MathSciNet: MR3298478
Digital Object Identifier: 10.36045/bbms/1420071854

Primary: 35J56 , 46A80 , 46E35

Keywords: elliptic boundary value problem , Musielak-Orlicz-Sobolev spaces , obstacle problem , Strongly nonlinear problem , The trace mapping , variational inequalities

Rights: Copyright © 2014 The Belgian Mathematical Society

Vol.21 • No. 5 • december 2014
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