Premium
On a class of nonlinear obstacle problems with nonstandard growth
Author(s) -
Zou Weilin,
Wang Wei,
Bi Yanhui
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3250
Subject(s) - uniqueness , mathematics , obstacle , class (philosophy) , nonlinear system , constant (computer programming) , obstacle problem , exponent , mathematical analysis , mathematical economics , pure mathematics , calculus (dental) , variational inequality , law , computer science , linguistics , philosophy , physics , quantum mechanics , artificial intelligence , political science , programming language , medicine , dentistry
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 & Sons, Ltd.