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