Completeness theorems: Fichera's fundamental results and some new contributions

  • Alberto Cialdea Università della Basilicata
Keywords: Completeness theorems, Higher order elliptic equations, Potential theory

Abstract

After recalling Fichera’s fundamental results in the study of the problem of the completeness of particular solutions of a partial differential equation, we give some new completeness theorem. They concern the Dirichlet problem for a general elliptic operator of higher order with real constant coefficients in any number of variables.

Author Biography

Alberto Cialdea, Università della Basilicata
Dipartimento di Matematica e Informatica,
Viale dell’Ateneo Lucano 10, 85100, Potenza, Italy.
Published
2007-12-06
Section
Articoli