On eigenvalue inequalities of the Newton potential

Tynysbek Kal'Menov; Durvudkhan Suragan; Bolys Sabitbek

doi:10.1063/1.4930478

On eigenvalue inequalities of the Newton potential

Tynysbek Kal'Menov, Durvudkhan Suragan, Bolys Sabitbek

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

In this paper we compare the eigenvalues of the Newton potential with the Dirichlet eigenvalues and the Neumann eigenvalues in a bounded domain in R^d. We also prove Rayleigh-Faber-Krahn inequality for the Laplacian with a non-local type boundary condition.

Original language	English
Title of host publication	Advancements in Mathematical Sciences
Subtitle of host publication	Proceedings of the International Conference on Advancements in Mathematical Sciences, AMS 2015
Editors	Alexey Lukashov, Allaberen Ashyralyev, Eberhard Malkowsky, Feyzi Basar, Eberhard Malkowsky, Allaberen Ashyralyev
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735413238
DOIs	https://doi.org/10.1063/1.4930478
Publication status	Published - Sept 18 2015
Externally published	Yes
Event	International Conference on Advancements in Mathematical Sciences, AMS 2015 - Antalya, Turkey Duration: Nov 5 2015 → Nov 7 2015

Publication series

Name	AIP Conference Proceedings
Volume	1676
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference on Advancements in Mathematical Sciences, AMS 2015
Country/Territory	Turkey
City	Antalya
Period	11/5/15 → 11/7/15

Keywords

Dirichlet problem
Eigenvalues of Laplacian
Neumann problem
Newton potential

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.4930478

Cite this

Kal'Menov, T., Suragan, D., & Sabitbek, B. (2015). On eigenvalue inequalities of the Newton potential. In A. Lukashov, A. Ashyralyev, E. Malkowsky, F. Basar, E. Malkowsky, & A. Ashyralyev (Eds.), Advancements in Mathematical Sciences: Proceedings of the International Conference on Advancements in Mathematical Sciences, AMS 2015 Article 020052 (AIP Conference Proceedings; Vol. 1676). American Institute of Physics Inc.. https://doi.org/10.1063/1.4930478

On eigenvalue inequalities of the Newton potential. / Kal'Menov, Tynysbek; Suragan, Durvudkhan; Sabitbek, Bolys.
Advancements in Mathematical Sciences: Proceedings of the International Conference on Advancements in Mathematical Sciences, AMS 2015. ed. / Alexey Lukashov; Allaberen Ashyralyev; Eberhard Malkowsky; Feyzi Basar; Eberhard Malkowsky; Allaberen Ashyralyev. American Institute of Physics Inc., 2015. 020052 (AIP Conference Proceedings; Vol. 1676).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kal'Menov, T, Suragan, D & Sabitbek, B 2015, On eigenvalue inequalities of the Newton potential. in A Lukashov, A Ashyralyev, E Malkowsky, F Basar, E Malkowsky & A Ashyralyev (eds), Advancements in Mathematical Sciences: Proceedings of the International Conference on Advancements in Mathematical Sciences, AMS 2015., 020052, AIP Conference Proceedings, vol. 1676, American Institute of Physics Inc., International Conference on Advancements in Mathematical Sciences, AMS 2015, Antalya, Turkey, 11/5/15. https://doi.org/10.1063/1.4930478

Kal'Menov T, Suragan D, Sabitbek B. On eigenvalue inequalities of the Newton potential. In Lukashov A, Ashyralyev A, Malkowsky E, Basar F, Malkowsky E, Ashyralyev A, editors, Advancements in Mathematical Sciences: Proceedings of the International Conference on Advancements in Mathematical Sciences, AMS 2015. American Institute of Physics Inc. 2015. 020052. (AIP Conference Proceedings). doi: 10.1063/1.4930478

Kal'Menov, Tynysbek ; Suragan, Durvudkhan ; Sabitbek, Bolys. / On eigenvalue inequalities of the Newton potential. Advancements in Mathematical Sciences: Proceedings of the International Conference on Advancements in Mathematical Sciences, AMS 2015. editor / Alexey Lukashov ; Allaberen Ashyralyev ; Eberhard Malkowsky ; Feyzi Basar ; Eberhard Malkowsky ; Allaberen Ashyralyev. American Institute of Physics Inc., 2015. (AIP Conference Proceedings).

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On eigenvalue inequalities of the Newton potential

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Keywords

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