Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation
Claudianor O. Alves, Vincenzo Ambrosio
Abstract
We consider the following fractional [Formula: see text]-Laplacian logarithmic Schrödinger equation: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is the fractional [Formula: see text]-Laplacian operator, [Formula: see text] is a continuous potential satisfying a local condition. By applying suitable variational arguments, we analyze the existence and concentration of solutions as [Formula: see text] for the above problem.
Topics & Concepts
MathematicsLaplace operatorFractional LaplacianOperator (biology)LogarithmSchrödinger equationMathematical physicsCombinatoricsMathematical analysisPure mathematicsGeneTranscription factorRepressorChemistryBiochemistryNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems