Existence of non-zero solutions for a Dirichlet problem driven by <i>(p(x),q(x)</i>-Laplacian
Antonia Chinní, Angela Sciammetta, Elisabetta Tornatore
Abstract
The paper focuses on a Dirichlet problem driven by the (p(x),q(x))-Laplacian. The existence of at least two non-zero solutions under suitable conditions on the nonlinear term is established. The approach is based on variational methods.
Topics & Concepts
MathematicsZero (linguistics)Dirichlet problemp-LaplacianNonlinear systemDirichlet distributionPure mathematicsLaplace operatorTerm (time)Mathematical analysisDirichlet's principleDirichlet's energyApplied mathematicsBoundary value problemPhysicsQuantum mechanicsLinguisticsPhilosophyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems