IJPAM: Volume 70, No. 3 (2011)
THE LERAY-LIONS EQUATION AND ITS DOUBLE
OBSTACLE PROBLEM WITH VARIABLE EXPONENT
OBSTACLE PROBLEM WITH VARIABLE EXPONENT
Tong Yuxia
, Gu Jiantao
, Hou Xiuli
College of Science
Hebei United University
Tangshan, Hebei, 063009, P.R. CHINA
Qian'an College
Hebei United University
Qian'an, Hebei, 064400, P.R. CHINA




Hebei United University
Tangshan, Hebei, 063009, P.R. CHINA

Hebei United University
Qian'an, Hebei, 064400, P.R. CHINA
Abstract. The relation between the solutions to the Leray-Lions equation and the solutions to its double obstacle problem with variable exponent has been studied. The Caccioppoli estimate of the solution to double obstacle problem has been obtain, which is important in studying the integrablity of the solutions.
Received: January 27, 2011
AMS Subject Classification: 31C45, 35J60
Key Words and Phrases: double obstacle problem, Leray-Lions equation, variable exponent
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 3