Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 55, No. 1, pp. 25-37 (1998)

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Regularity up to the Boundary of Solutions of the Dirichlet Problem for Certain Degenerate Elliptic Equations

Gerson Petronilho

Departamento de Matemática, Universidade Federal de S\ ao Carlos,
Rodovia Washington Luiz, Km 235, CEP 13565-905, S\ ao Carlos, SP - BRAZIL
E-mail: dgpe@power.ufscar.br

Abstract: We prove, through a more careful analysis of its symbols, the ellipticity of certain pseudodifferential operators. We use this result and the concatenation technique to prove the regularity up to the boundary of solutions of the Dirichlet problem for certain classes of second-order degenerate elliptic equations.

Keywords: Concatenations; degenerate elliptic; boundary value problems; Dirichlet problem.

Classification (MSC2000): 35J70; 35S99

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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