Effect of a Gradient Term on the Solvability of the Heat Equation with a Supercritical Reaction with Respect to the Hardy Potential-Reference-Cited by-同舟云学术

Effect of a Gradient Term on the Solvability of the Heat Equation with a Supercritical Reaction with Respect to the Hardy Potential

Published:2014-08-01 Issue:3 Volume:14 Page:547-564
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Abdellaoui Boumediene¹,Attar Ahmed¹,Merchán Susana²,Peral Ireneo³

Affiliation:

1. Département de Mathématiques Université Abou Bakr Belkaïd, Tlemcen 13000, Algeria

2. Dipartamento di Matematica e Informatica Universitá della Calabria, Cosenza, Italia

3. Departamento de Matemáticas Universidad Autónoma de Madrid, 28049 Madrid, Spain

Abstract

Abstract In this paper we consider the following nonlinear parabolic problem

where Ω ⊂ ℝN, N > 2, is a bounded domain with 0 ∈ Ω and 1 < p < 3. The main goal of this work is to analyze the influence of the gradient term in order to obtain the existence of a positive solution for the largest class of data ( f, u0) and for all λ > 0.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2014-0302/pdf

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