A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator
Claudianor O. Alves
Abstract
In this work we prove a Berestycki–Lions type result for the following class of problems: [Formula: see text] where [Formula: see text] is the [Formula: see text]-Laplacian operator and [Formula: see text] is a continuous function satisfying some technical conditions. Here we apply variational methods by using [Formula: see text]-Laplacian problems and taking the limit when [Formula: see text].
Topics & Concepts
MathematicsLaplace operatorOperator (biology)Type (biology)Class (philosophy)Limit (mathematics)Function (biology)Pure mathematicsCombinatoricsMathematical analysisComputer scienceArtificial intelligenceBiochemistryTranscription factorEcologyEvolutionary biologyRepressorBiologyChemistryGeneNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems