Boundary behavior and estimates for solutions of equations containing the $p$-laplacian

Boundary behavior and estimates for solutions of equations containing the $p$-laplacian

We use ``Hardy-type'' inequalities to derive $L^q$ estimates for solutions of equations containing the $p$-Laplacian with $p>1$. We begin by deriving some inequalities using elementary ideas from an early article [B3] which has been largely overlooked. Then we derive $L^q$ estimates of...

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Bibliographic Details
Main Authors: Jacqueline Fleckinger, Evans M. Harrell II, Francois De Thelin
Format: Article
Language:English
Published: Texas State University 1999-09-01
Series:Electronic Journal of Differential Equations
Subjects:
p-Laplacian
Hardy inequlity
principal eigenvalue
boundary estimate
boundary perturbation.
Online Access:http://ejde.math.txstate.edu/Volumes/1999/38/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/1999/38/abstr.html

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