Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type
Nabil Chems Eddine, Phuong Duc Nguyen, Maria Alessandra Ragusa
Abstract
In this article, we obtain the existence and infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters, via combining the variational method, and the concentration‐compactness principle for anisotropic variable exponent under suitable assumptions on the nonlinearities.
Topics & Concepts
MathematicsMultiplicity (mathematics)AnisotropyMathematical analysisNonlinear systemCritical exponentClass (philosophy)Elliptic curveCompact spaceVariable (mathematics)ExponentApplied mathematicsPure mathematicsGeometryScalingPhysicsQuantum mechanicsPhilosophyArtificial intelligenceComputer scienceLinguisticsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems