An Existence Result for a Class of p(x)—Anisotropic Type Equations
Anass Ourraoui, Maria Alessandra Ragusa
Abstract
In this paper, we study a class of anisotropic variable exponent problems involving the p→(.)-Laplacian. By using the variational method as our main tool, we present a result regarding the existence of solutions without the so-called Ambrosetti–Rabinowitz-type conditions.
Topics & Concepts
Type (biology)Class (philosophy)MathematicsAnisotropyExponentVariable (mathematics)Mathematical analysisPure mathematicsApplied mathematicsCombinatoricsPhysicsComputer scienceQuantum mechanicsArtificial intelligenceLinguisticsEcologyBiologyPhilosophyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Numerical Methods