Uniqueness theorem for p-biharmonic equations

The goal of this paper is to prove existence and uniqueness of a solution of the initial value problem for the equation $$ (|u''|^{p-2}u'')''=lambda |u|^{q-2}u $$ where $lambdain{mathbb{R}}$ and $p,q>1$. We prove the existence for $pgeq q$ only, and give a counterexa...

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Bibliographic Details
Main Author: Jiri Benedikt
Format: Article
Language:English
Published: Texas State University 2002-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/53/abstr.html