Standard

Entire solutions to the Swift-Hohenberg equation via variational approach. / Назаров, Александр Ильич; Колоницкий, Сергей Борисович; Лерман, Лев Михайлович.

In: Calculus of Variations and Partial Differential Equations, Vol. 64, No. 5, 149, 05.05.2025.

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

Harvard

Назаров, АИ, Колоницкий, СБ & Лерман, ЛМ 2025, 'Entire solutions to the Swift-Hohenberg equation via variational approach', Calculus of Variations and Partial Differential Equations, vol. 64, no. 5, 149. https://doi.org/10.1007/s00526-025-03010-9

APA

Назаров, А. И., Колоницкий, С. Б., & Лерман, Л. М. (2025). Entire solutions to the Swift-Hohenberg equation via variational approach. Calculus of Variations and Partial Differential Equations, 64(5), [149]. https://doi.org/10.1007/s00526-025-03010-9

Vancouver

Назаров АИ, Колоницкий СБ, Лерман ЛМ. Entire solutions to the Swift-Hohenberg equation via variational approach. Calculus of Variations and Partial Differential Equations. 2025 May 5;64(5). 149. https://doi.org/10.1007/s00526-025-03010-9

Author

Назаров, Александр Ильич ; Колоницкий, Сергей Борисович ; Лерман, Лев Михайлович. / Entire solutions to the Swift-Hohenberg equation via variational approach. In: Calculus of Variations and Partial Differential Equations. 2025 ; Vol. 64, No. 5.

BibTeX

@article{cf28a758eb134b65a4ff65c87ec95ab4,
title = "Entire solutions to the Swift-Hohenberg equation via variational approach",
abstract = "We study the stationary Swift–Hohenberg equation (Formula presented.) in the whole space Rn, 2≤n≤7. We develop and modify the variational approach introduced by Lerman et al. (Nonlinear Anal TMA 190:1–21, 2020) and obtain a series of periodic solutions with certain additional symmetries.",
author = "Назаров, {Александр Ильич} and Колоницкий, {Сергей Борисович} and Лерман, {Лев Михайлович}",
year = "2025",
month = may,
day = "5",
doi = "10.1007/s00526-025-03010-9",
language = "English",
volume = "64",
journal = "Calculus of Variations and Partial Differential Equations",
issn = "0944-2669",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Entire solutions to the Swift-Hohenberg equation via variational approach

AU - Назаров, Александр Ильич

AU - Колоницкий, Сергей Борисович

AU - Лерман, Лев Михайлович

PY - 2025/5/5

Y1 - 2025/5/5

N2 - We study the stationary Swift–Hohenberg equation (Formula presented.) in the whole space Rn, 2≤n≤7. We develop and modify the variational approach introduced by Lerman et al. (Nonlinear Anal TMA 190:1–21, 2020) and obtain a series of periodic solutions with certain additional symmetries.

AB - We study the stationary Swift–Hohenberg equation (Formula presented.) in the whole space Rn, 2≤n≤7. We develop and modify the variational approach introduced by Lerman et al. (Nonlinear Anal TMA 190:1–21, 2020) and obtain a series of periodic solutions with certain additional symmetries.

UR - https://www.mendeley.com/catalogue/a760b7df-7411-3875-a189-3b83d8f4ee0a/

U2 - 10.1007/s00526-025-03010-9

DO - 10.1007/s00526-025-03010-9

M3 - Article

VL - 64

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

SN - 0944-2669

IS - 5

M1 - 149

ER -

ID: 142887055