Preprint 64/2005

On a polyharmonic eigenvalue problem with indefinite weights.

Biswajit Karmakar

Contact the author: Please use for correspondence this email.
Submission date: 21. Jun. 2005
Pages: 11
Keywords and phrases: moser trudinger inequality, polyharmonic eigen value
Download full preprint: PDF (128 kB), PS ziped (141 kB)

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.

04.09.2019, 14:40