Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold
Chaojiu Da, D. S. Oliveira, Ravi P. Agarwal
Abstract
This paper is divided in two parts. In the first part, we prove coercivity results and minimization of the Euler energy functional. In the second part, we focus on the existence and multiplicity of a positive solution of fractional Dirichlet problem involving the ?(?)-Laplacian equation with non-negative weight functions in H?,?;? ?(?) (?,R) using some variational techniques and Nehari manifold.
Topics & Concepts
Nehari manifoldMathematicsMultiplicity (mathematics)Dirichlet problemPure mathematicsMathematical analysisApplied mathematicsNonlinear systemPhysicsBoundary value problemQuantum mechanicsDifferential Equations and Boundary ProblemsNonlinear Partial Differential EquationsNonlinear Differential Equations Analysis