Global bifurcation result for the p-biharmonic operator

We prove that the nonlinear eigenvalue problem for the p-biharmonic operator with $p > 1$, and $Omega$ a bounded domain in $mathbb{R}^N$ with smooth boundary, has principal positive eigenvalue $lambda_1$ which is simple and isolated. The corresponding eigenfunction is positive in $Omega$ and sati...

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Bibliographic Details
Main Authors: Pavel Drabek, Mitsuharu Otani
Format: Article
Language:English
Published: Texas State University 2001-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2001/48/abstr.html