6533b7d4fe1ef96bd1262013
RESEARCH PRODUCT
Comparison results for a linear elliptic equation with mixed boundary conditions
B. BrandoliniM. R. PosteraroR. Volpicellisubject
symmetrization35B6535J25Settore MAT/05 - Analisi MatematicaApplied Mathematics35B05Comparison result35J70Analysisdescription
In this paper we study a linear elliptic equation having mixed boundary conditions, defined in a connected open set $\Omega $ of $\mathbb{R}^{n}$. We prove a comparison result with a suitable ``symmetrized'' Dirichlet problem which cannot be uniformly elliptic depending on the regularity of $ \partial \Omega $. Regularity results for non-uniformly elliptic equations are also given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-01 |