Periodic solutions for a degenerate double-phase parabolic equation with variable growth

The purpose of this work is the investigation of a degenerate parabolic equation with double-phase operator, variable growth and strongly nonlinear source under Dirichlet boundary conditions, the existence of a periodic nonnegative weak solution is established. Our proof will be based on the Leray–S...

Full description

Saved in:
Bibliographic Details
Published in:Advances in operator theory 2023-10, Vol.8 (4), Article 71
Main Authors: Jourhmane, Hamza, Kassidi, Abderrazak, Hilal, Khalid, Elomari, M’hamed
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Operator Theory
Original Paper
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The purpose of this work is the investigation of a degenerate parabolic equation with double-phase operator, variable growth and strongly nonlinear source under Dirichlet boundary conditions, the existence of a periodic nonnegative weak solution is established. Our proof will be based on the Leray–Schauder topological degree, which presents several issues for this kind of equations, but were overcome using different techniques and known theorems. The system considered is a possible model for problems where the entity studied has different growth exponents, p ( x ) and q ( x ) in our case, that varies with the position where the growth is calculated.
ISSN:2662-2009
2538-225X
DOI:10.1007/s43036-023-00296-4