On Radially Symmetric Solutions to the Dirichlet Problem for an Elliptic Equation with the $ p(|x|) $-Laplacian Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2026, Volume: 67, Number: 2, Pages: 372-384 Pages count : 13 DOI: 10.1134/s0037446626020114 | ||||||
| Tags | equation with the P(|X|)-laplacian, bernstein–nagumo condition, radially symmetric solutions, a priori estimates | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0028 |
Abstract:
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.
Cite:
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
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
Dates:
| Submitted: | Jul 2, 2025 |
| Accepted: | Aug 31, 2025 |
| Published online: | Mar 28, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001727789200002 |
| ≡ Scopus: | 2-s2.0-105034209404 |
| ≡ Elibrary: | 89161338 |
| ≡ OpenAlex: | W7141832876 |