THE DIRICHLET PROBLEM FOR A CLASS OF ANISOTROPIC SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS WITH CRITICAL EXPONENT
Nabil Chems Eddine, Anh Tuan Nguyen, Maria Alessandra Ragusa
Abstract
In this paper, our focus lies in addressing the Dirichlet problem associated with a specific class of critical anisotropic elliptic equations of Schrödinger-Kirchhoff type. These equations incorporate variable exponents and a real positive parameter. Our objective is to establish the existence of at least one solution to this problem.
Topics & Concepts
MathematicsCritical exponentClass (philosophy)ExponentType (biology)Mathematical analysisAnisotropyDirichlet problemPure mathematicsPhysicsGeometryQuantum mechanicsBoundary value problemComputer scienceEcologyScalingArtificial intelligenceBiologyLinguisticsPhilosophyAdvanced Mathematical Modeling in EngineeringNonlinear Partial Differential EquationsAdvanced Mathematical Physics Problems