Abstract
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.
Citation
B. Brandolini. M. R. Posteraro. R. Volpicelli. "Comparison results for a linear elliptic equation with mixed boundary conditions." Differential Integral Equations 16 (5) 625 - 639, 2003. https://doi.org/10.57262/die/1356060631
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