6533b86efe1ef96bd12cbf84
RESEARCH PRODUCT
Neumann p-Laplacian problems with a reaction term on metric spaces
Antonella Nastasisubject
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 mathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-07-31 |