A regularity result for a minimum problem in orlicz-sobolev spaces with applications in the study of the dirichlet problem for the operator of hencky-nadai theory

Abstract

The existence and uniqueness of the solution to the problem of minimum for functionals generated by N- functions are obtained in Orlicz-Sobolev spaces. Applications for some functionals dealing with Hencky theory are given.

Keywords:

• N-function
• Orlicz space
• imbedding theorem for Orlicz spaces
• convex lower-semicontinuous functional
• subdifferential of a convex function
• Dirichlet's problem in the theory of small elasticoplastic deformations

AMS:

• 73E99
• 46E30

^(∗)Visiting Professor at the Department of Mathematics of the University of Lisbon and the Centro de Matemática e Aplicaç[otilde]es Fundamentis (CMAF/INIC)

^(∗)Visiting Professor at the Department of Mathematics of the University of Lisbon and the Centro de Matemática e Aplicaç[otilde]es Fundamentis (CMAF/INIC)

Notes

^(∗)Visiting Professor at the Department of Mathematics of the University of Lisbon and the Centro de Matemática e Aplicaç[otilde]es Fundamentis (CMAF/INIC)

Additional information

Notes on contributors

G. Dinca

(∗)