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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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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Preprint
2005 Repository Open Access
Biswajit Karmakar

On a polyharmonic eigenvalue problem with indefinite weights