Boundary Regularity under Generalized Growth Conditions
| Autor: | Peter Hästö, Petteri Harjulehto |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematics::Functional Analysis
nonstandard growth variable exponent Variable exponent superminimizer Applied Mathematics ta111 Mathematical analysis Boundary (topology) Musielak–Orlicz spaces the weak Harnack inequality generalized Orlicz space Double phase Dirichlet energy integral minimizer Generalized Growth regular boundary point double phase Analysis Mathematics |
| Zdroj: | Zeitschrift für Analysis und ihre Anwendungen. 38:73-96 |
| ISSN: | 0232-2064 |
| Popis: | We study the Dirichlet ϕ-energy integral with Sobolev boundary values. The function ϕ has generalized Orlicz growth. Special cases include variable exponent and double phase growths. We show that minimizers are regular at the boundary provided a weak capacity fatness condition is satisfied. This condition is satisfied for instance if the boundary is Lipschitz. The results are new even for Orlicz spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|