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On the Two Obstacles Problem in Orlicz-Sobolev Spaces and Applications | | J.F. Rodrigues
; R. Teymurazyan
; | | Date: |
8 Mar 2010 | | Abstract: | We prove the Lewy-Stampacchia inequalities for the two obstacles problem in
abstract form for T-monotone operators. As a consequence for a general class of
quasi-linear elliptic operators of Ladyzhenskaya-Uraltseva type, including
p(x)-Laplacian type operators, we derive new results of $C^{1,alpha}$
regularity for the solution. We also apply those inequalities to obtain new
results to the N-membranes problem and the regularity and monotonicity
properties to obtain the existence of a solution to a quasi-variational problem
in (generalized) Orlicz-Sobolev spaces. | | Source: | arXiv, 1003.1740 | | Services: | Forum | Review | PDF | Favorites | |
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