0000000000077570

AUTHOR

Anna Tuhola-kujanpää

showing 2 related works from this author

Superharmonic functions are locally renormalized solutions

2011

Abstract We show that different notions of solutions to measure data problems involving p-Laplace type operators and nonnegative source measures are locally essentially equivalent. As an application we characterize singular solutions of multidimensional Riccati type partial differential equations.

Partial differential equationSubharmonic functionApplied Mathematicsta111Mathematical analysisType (model theory)Measure (mathematics)Parabolic partial differential equationPotential theoryMathematical PhysicsAnalysisMathematicsAnnales de l'Institut Henri Poincare (C) Non Linear Analysis
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The p-Laplacian with respect to measures

2013

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

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