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MiS Preprint
64/2005

On a polyharmonic eigenvalue problem with indefinite weights.

Biswajit Karmakar

Abstract

We consider the polyharmonic elliptic eigen value problem in bounded domain in both locally compact and limit case of Sobolev embedding.We prove existence of sign changing eigen function in the locally compact case by general sobolev embedding and in the limit case by an improved Moser Trudinger inequality of D.R.Adams.

Received:
Jun 21, 2005
Published:
Jun 21, 2005
Keywords:
moser trudinger inequality, polyharmonic eigen value

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2005 Repository Open Access
Biswajit Karmakar

On a polyharmonic eigenvalue problem with indefinite weights