POSITIVITY FOR PERTURBATIONS OF POLYHARMONIC OPERATORS WITH DIRICHLETBOUNDARY-CONDITIONS IN 2 DIMENSIONS

Authors
GRUNAU HC SWEERS G
Citation
Hc. Grunau et G. Sweers, POSITIVITY FOR PERTURBATIONS OF POLYHARMONIC OPERATORS WITH DIRICHLETBOUNDARY-CONDITIONS IN 2 DIMENSIONS, Mathematische Nachrichten, 179, 1996, pp. 89-102
Citations number
24
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
179
Year of publication
1996
Pages
89 - 102
Database
ISI
SICI code
0025-584X(1996)179:<89:PFPOPO>2.0.ZU;2-U
Abstract
Higher order elliptic partial differential equations with Dirichlet bo undary conditions in general do not satisfy a maximum principle. Polyh armonic operators on balls are an exception. Here it is shown that in R(2) small perturbations of polyharmonic operators and of the domain p reserve the maximum principle. Hence the Green function for the clampe d plate equation on an ellipse with small eccentricity is positive.