6533b7d2fe1ef96bd125ed05

RESEARCH PRODUCT

The p-Laplacian with respect to measures

Harri VarpanenAnna Tuhola-kujanpää

subject

Discrete mathematicsPure mathematicsApplied Mathematicsta111Mathematics::Algebraic Topology35J92 35P30 35D99 35B65Mathematics - Analysis of PDEsAnalysis on fractalsp-LaplacianFOS: MathematicsEmbeddingLaplace operatorAnalysisMathematicsAnalysis of PDEs (math.AP)

description

We introduce a definition for the $p$-Laplace operator on positive and finite Borel measures that satisfy an Adams-type embedding condition.

10.1016/j.jmaa.2012.11.015http://juuli.fi/Record/0030934413