Existence of positive solutions for a new class of Kirchhoff parabolic systems
Salah Boulaaras
Abstract
We study the existence of weak positive solutions for a new class of Kirchhoff parabolic systems in bounded domains with multiple parameters taking into account the symmetry conditions and the right-hand side defined as a multiplication of two separate functions. Our results are natural extensions of previous results in the field, which used the same method for some classical elliptic equations.
Topics & Concepts
MathematicsBounded functionClass (philosophy)Multiplication (music)Mathematical analysisSymmetry (geometry)Pure mathematicsGeometryCombinatoricsComputer scienceArtificial intelligenceAdvanced Mathematical Modeling in EngineeringNonlinear Partial Differential EquationsStability and Controllability of Differential Equations