Boundary-value problems for the operator of hency-nadai theory in orlicz-sobolev spaces

Abstract

The existence and the uniqueness of the solution of the mixed boundary-value problemare proved in Orlicz-Sobolev spaces. Also, these properties are established in case of the Neumann problem for the operator of Hencky-Nadai theory. Both results are proved using a variational method.

Keywords:

• N-function
• Orlicz-Sobolev Space
• Imbedding theorems in Orlicz Spaces
• Variational method
• Hencky-Nadai Theory
• Mixed boundary-value problem
• Neumann problem

AMS:

• 73E99
• 46E30

^*Corresponding author.

^*Corresponding author.

Notes

^*Corresponding author.