Ground State for the Schrödinger Operator with the Weighted Hardy Potential | Zendy

J. Chabrowski | Zendy; K. Tintarev | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Ground State for the Schrödinger Operator with the Weighted Hardy Potential

Author(s) -

J. Chabrowski,

K. Tintarev

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/358087

Subject(s) - eigenfunction , mathematics , laplace operator , operator (biology) , laplace transform , principal (computer security) , mathematical analysis , eigenvalues and eigenvectors , pure mathematics , physics , quantum mechanics , computer science , biochemistry , chemistry , repressor , transcription factor , gene , operating system

We establish the existence of ground states on ℝ for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a higher integrability property for the principal eigenfunction. This is used to examine the behaviour of the principal eigenfunction around 0

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research