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Second-order elliptic equation of divergence form having a compactly supported solution. / Filonov, N.

в: Journal of Mathematical Sciences , Том 106, № 3, 01.01.2001, стр. 3078-3086.

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Harvard

Filonov, N 2001, 'Second-order elliptic equation of divergence form having a compactly supported solution', Journal of Mathematical Sciences , Том. 106, № 3, стр. 3078-3086. https://doi.org/10.1023/A:1011379807662

APA

Filonov, N. (2001). Second-order elliptic equation of divergence form having a compactly supported solution. Journal of Mathematical Sciences , 106(3), 3078-3086. https://doi.org/10.1023/A:1011379807662

Vancouver

Filonov N. Second-order elliptic equation of divergence form having a compactly supported solution. Journal of Mathematical Sciences . 2001 Янв. 1;106(3):3078-3086. https://doi.org/10.1023/A:1011379807662

Author

Filonov, N. / Second-order elliptic equation of divergence form having a compactly supported solution. в: Journal of Mathematical Sciences . 2001 ; Том 106, № 3. стр. 3078-3086.

BibTeX

@article{57d136312406476cbb22825d90b7be3f,
title = "Second-order elliptic equation of divergence form having a compactly supported solution",
abstract = "An equation of the form - div(gΔu) = λu has a solution u of class C0∞, where g is a real positive definite matrix-valued function belonging to the Holder classes with exponent less than 1. From the spectral point of view, this means that there exists a Schr{\"o}dinger operator with periodic metric and the spectrum of this operator contains an eigenvalue of infinite multiplicity.",
author = "N. Filonov",
year = "2001",
month = jan,
day = "1",
doi = "10.1023/A:1011379807662",
language = "English",
volume = "106",
pages = "3078--3086",
journal = "Journal of Mathematical Sciences (Switzerland)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Second-order elliptic equation of divergence form having a compactly supported solution

AU - Filonov, N.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - An equation of the form - div(gΔu) = λu has a solution u of class C0∞, where g is a real positive definite matrix-valued function belonging to the Holder classes with exponent less than 1. From the spectral point of view, this means that there exists a Schrödinger operator with periodic metric and the spectrum of this operator contains an eigenvalue of infinite multiplicity.

AB - An equation of the form - div(gΔu) = λu has a solution u of class C0∞, where g is a real positive definite matrix-valued function belonging to the Holder classes with exponent less than 1. From the spectral point of view, this means that there exists a Schrödinger operator with periodic metric and the spectrum of this operator contains an eigenvalue of infinite multiplicity.

UR - http://www.scopus.com/inward/record.url?scp=1842595268&partnerID=8YFLogxK

U2 - 10.1023/A:1011379807662

DO - 10.1023/A:1011379807662

M3 - Article

AN - SCOPUS:1842595268

VL - 106

SP - 3078

EP - 3086

JO - Journal of Mathematical Sciences (Switzerland)

JF - Journal of Mathematical Sciences (Switzerland)

SN - 1072-3374

IS - 3

ER -

ID: 50940137