On a class of nonlinear obstacle problems with nonstandard growth | Zendy

Zou Weilin | Zendy; Wang Wei | Zendy; Bi Yanhui | Zendy

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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.

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