The eigenvalues and eigenfunctions of the non-linear equation associated to second order Sobolev embeddings

We consider the non-linear eigenvalue equations characterizing Lp into Lq Sobolev embeddings of second order for Navier boundary conditions at both ends of a line segment. We give a complete description of the s-numbers and the extremal functions in the general case (p,q)∈(1,∞)2. Among other results...

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Bibliographic Details

Published in:	Nonlinear analysis Vol. 236; p. 113362
Main Authors:	Boulton, Lyonell, Lang, Jan
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.11.2023
Subjects:	Higher order Sobolev embeddings pq-biLaplacian s-numbers pq-biLaplacian s-numbers Higher order Sobolev embeddings
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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