On Radially Symmetric Solutions to the Dirichlet Problem for an Elliptic Equation with the $ p(|x|) $-Laplacian | Sciact - Система учета научной деятельности ИМ СО РАН

On Radially Symmetric Solutions to the Dirichlet Problem for an Elliptic Equation with the $ p(|x|) $-Laplacian Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2026, Том: 67, Номер: 2, Страницы: 372-384 Страниц : 13 DOI: 10.1134/s0037446626020114

Ключевые слова

equation with the P(|X|)-laplacian, bernstein–nagumo condition, radially symmetric solutions, a priori estimates

Авторы

Tersenov Ar.S. ¹ , Safarov R.Ch. ^2,3

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russia
2	Karshi State University, Karshi, Uzbekistan
3	Novosibirsk State University, Novosibirsk, Russia

Информация о финансировании (1)

Министерство науки и высшего образования РФ

FWNF-2026-0028

We study the Dirichlet problem for an elliptic equation with the p(|x|)-Laplacian and lower-order terms that do not satisfy the Bernstein–Nagumo condition. Under the assumption that p(|x|) is a continuously differentiable nonincreasing function, we prove the existence of a weak radially symmetric solution whose derivative is Hölder continuous.

Tersenov A.S. , Safarov R.C.
On Radially Symmetric Solutions to the Dirichlet Problem for an Elliptic Equation with the $ p(|x|) $-Laplacian
Siberian Mathematical Journal. 2026. V.67. N2. P.372-384. DOI: 10.1134/s0037446626020114 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	2 июл. 2025 г.
Принята к публикации:	31 авг. 2025 г.
Опубликована online:	28 мар. 2026 г.

≡ Web of science:	WOS:001727789200002
≡ Scopus:	2-s2.0-105034209404
≡ РИНЦ:	89161338
≡ OpenAlex:	W7141832876