6. Papers

On radially symmetric solutions for the elliptic equation with singular p(|x|)-Laplacian

Aris S. Tersenov
Scopus Author ID: 6603037741
Researcher ID: 6096
1. Sobolev Institute of Mathematics SBRAS, Novosibirsk, Russia
aterseno@math.nsc.ru
R. Ch. Safarov
1. Novosibirsk state university, Novosibirsk, Russia
2. Karshi State University, Karshi, Uzbekistan
r.safarov1@nsu.ru
The material was received by the Editorial Board: 18.12.2025

We study the Dirichlet problem for the singular $p(|x|)$-Laplacian with lower-order terms growing arbitrarily with respect to the gradient. We prove the existence of a weak radially symmetric solution that satisfies the equation almost everywhere.

УДК 517.95

On radially symmetric solutions for the elliptic equation with singular p(|x|)-Laplacian
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Keywords: We study the Dirichlet problem for the singular $p(|x|)$-Laplacian with lower-order terms growing arbitrarily with respect to the gradient. We prove the existence of a weak radially symmetric solution that satisfies the equation almost everywhere.

References: Tersenov A.S., Safarov R.Ch. On radially symmetric solutions for the elliptic equation with singular p(|x|)-Laplacian. Mat. Trudy. 2026, 29, № 2. P. 93–112. DOI: 10.25205/1560-750X-2026-29-2-93-112