Search results for " Minimalp-weak upper gradient"

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Neumann p-Laplacian problems with a reaction term on metric spaces

2020

We use a variational approach to study existence and regularity of solutions for a Neumann p-Laplacian problem with a reaction term on metric spaces equipped with a doubling measure and supporting a Poincare inequality. Trace theorems for functions with bounded variation are applied in the definition of the variational functional and minimizers are shown to satisfy De Giorgi type conditions.

Pure mathematicsTrace (linear algebra)Applied MathematicsGeneral Mathematics010102 general mathematicsPoincaré inequalityType (model theory)p-Laplacian operator Measure metric spaces Minimalp-weak upper gradient Minimizer01 natural sciencesMeasure (mathematics)010305 fluids & plasmasTerm (time)symbols.namesakeMetric spaceSettore MAT/05 - Analisi Matematica0103 physical sciencesBounded variationsymbolsp-Laplacian0101 mathematicsMathematics
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