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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… Click to show full abstract
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.
Keywords:
neumann laplacian;
metric spaces;
reaction term;
term metric;
laplacian problems
Journal Title: Ricerche Di Matematica
Year Published: 2020
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Journal Title: Ricerche Di Matematica
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!