On a class of nonlinear obstacle problems with nonstandard growth. (10th September 2014)

• Record Type: Journal Article
• Authors: Zou, Weilin; Wang, Wei; Bi, Yanhui
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 14(2015:Sep. 30)
• Page Start: 2911
• Page End: 2921
• Publication Date: 2014-09-10
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3250
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma3250-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma3250-para-0001">In this paper, we study a class of nonlinear obstacle problems with nonstandard growth. We obtain the L∞ estimate on the solutions and prove the existence and uniqueness of solutions to such problems. Our results are generalizations of the corresponding results in the constant exponent case. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>