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

Zakariya Chaouai and Abderrahmane El Hachimi

Abstract and Applied Analysis, 2018, vol. 2018, issue 1

Abstract: We consider the Dirichlet initial boundary value problem ∂tum(x) − div⁡(|∇u|p(x, t)−2∇u) = a(x, t)uq(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 solutions. Firstly, we prove that if ess⁡sup⁡p(x, t) − 1 0, in the case where a(x, t)

Date: 2018
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2018/3821217

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:3821217

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().