Extremal Values of Half-Eigenvalues for Open image in new window-Laplacian with Weights in Open image in new window BallsReport as inadecuate




Extremal Values of Half-Eigenvalues for Open image in new window-Laplacian with Weights in Open image in new window Balls - Download this document for free, or read online. Document in PDF available to download.

Boundary Value Problems

, 2010:690342

First Online: 02 November 2010Received: 24 May 2010Accepted: 21 October 2010

Abstract

For one-dimensional Open image in new window-Laplacian with weights in Open image in new window balls, we are interested in the extremal values of the Open image in new windowth positive half-eigenvalues associated with Dirichlet, Neumann, and generalized periodic boundary conditions, respectively. It will be shown that the extremal value problems for half-eigenvalues are equivalent to those for eigenvalues, and all these extremal values are given by some best Sobolev constants.

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Author: Ping Yan

Source: https://link.springer.com/



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