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A class of strongly degenerate elliptic operators

Published online by Cambridge University Press:  17 April 2009

Duong Minh Duc
Duong Minh Duc
Affiliation:
International Centre of Theoretical Physics, P.O. Box 586, Miramare, 34100 Trieste, Italy.
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Abstract

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Using a weighted Poincaré inequality, we study (ω1,…,ωn)-elliptic operators. This method is applied to solve singular elliptic equations with boundary conditions in W1,2. We also obtain a result about the regularity of solutions of singular elliptic equations. An application to (ω1,…,ωn)-parabolic equations is given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 2 , April 1989 , pp. 177 - 200
Copyright
Copyright © Australian Mathematical Society 1989

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