Global Hölder regularity for discontinuous elliptic equations in the plane期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Global Hölder regularity for discontinuous elliptic equations in the plane

Authors:	Sofia Giuffrè

Affiliation:	D.I.M.E.T., Faculty of Engineering, University of Reggio Calabria, Via Graziella, Località Feo di Vito, 89100 Reggio Calabria, Italy

Abstract:	$C^{1, mu}$ -regularity up to the boundary is proved for solutions of boundary value problems for elliptic equations with discontinuous coefficients in the plane. In particular, we deal with the Dirichlet boundary condition where $g(x) in W^{2- frac{1}{r}, r}(partial Omega)$ , , or with the following normal derivative boundary conditions: $begin{displaymath}begin{array}{lclr} displaystyle frac{partial u}{partial ... ...al n} + sigma u = h( x) & rm on : partialOmega end{array}end{displaymath}$ where $h(x) in W^{1- frac{1}{r}, r}(partial Omega)$ , , and is the unit outward normal to the boundary .

Keywords:	Regularity up to the boundary elliptic equations boundary value problems

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