Qualitative Properties of Nonnegative Solutions for a Doubly Nonlinear Problem with Variable Exponents

We consider the Dirichlet initial boundary value problem ∂tum(x)-div⁡∇upx,t-2∇u=ax,tuq(x,t), where the exponents p(x,t)>1, q(x,t)>0, and m(x)>0 are given functions. We assume that a(x,t) is a bounded function. The aim of this paper is to deal with some qualitative properties of the solution...

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Bibliographic Details
Main Authors: Zakariya Chaouai, Abderrahmane El Hachimi
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/3821217