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On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential. / Demyanov, A. V.; Nazarov, A. I.

In: Journal of Mathematical Sciences , Vol. 143, No. 2, 01.05.2007, p. 2857-2868.

Research output: Contribution to journal › Article › peer-review

Harvard

Demyanov, AV & Nazarov, AI 2007, 'On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential', Journal of Mathematical Sciences , vol. 143, no. 2, pp. 2857-2868. https://doi.org/10.1007/s10958-007-0171-9

APA

Demyanov, A. V., & Nazarov, A. I. (2007). On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential. Journal of Mathematical Sciences , 143(2), 2857-2868. https://doi.org/10.1007/s10958-007-0171-9

Vancouver

Demyanov AV, Nazarov AI. On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential. Journal of Mathematical Sciences . 2007 May 1;143(2):2857-2868. https://doi.org/10.1007/s10958-007-0171-9

Author

Demyanov, A. V. ; Nazarov, A. I. / On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential. In: Journal of Mathematical Sciences . 2007 ; Vol. 143, No. 2. pp. 2857-2868.

BibTeX

@article{4e4a0622104042659bb112d9b77028cb,
title = "On solvability of the Dirichlet problem to the semilinear Schr{\"o}dinger equation with singular potential",
abstract = "We prove the existence of a positive solution of the Dirichlet problem for the Schr{\"o}dinger equation whose potential possesses a critical singularity. It is assumed that the boundary of the domain is average concave in a neighborhood of the origin. Bibliography: 13 titles.",
author = "Demyanov, {A. V.} and Nazarov, {A. I.}",
year = "2007",
month = may,
day = "1",
doi = "10.1007/s10958-007-0171-9",
language = "English",
volume = "143",
pages = "2857--2868",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential

AU - Demyanov, A. V.

AU - Nazarov, A. I.

PY - 2007/5/1

Y1 - 2007/5/1

N2 - We prove the existence of a positive solution of the Dirichlet problem for the Schrödinger equation whose potential possesses a critical singularity. It is assumed that the boundary of the domain is average concave in a neighborhood of the origin. Bibliography: 13 titles.

AB - We prove the existence of a positive solution of the Dirichlet problem for the Schrödinger equation whose potential possesses a critical singularity. It is assumed that the boundary of the domain is average concave in a neighborhood of the origin. Bibliography: 13 titles.

UR - http://www.scopus.com/inward/record.url?scp=34247350282&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0171-9

DO - 10.1007/s10958-007-0171-9

M3 - Article

AN - SCOPUS:34247350282

VL - 143

SP - 2857

EP - 2868

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 45872760