Article

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

Ar. S. TersenovSobolev Institute of Mathematics, Novosibirsk, RussiaR. Ch. SafarovKarshi State University, Karshi, Uzbekistan

Siberian Mathematical Journaljournal2026en

ABI

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.

Topics

Nonlinear Partial Differential Equations Advanced Mathematical Modeling in Engineering Differential Equations and Boundary Problems

Identifiers

DOI: 10.1134/s0037446626020114

Citations and references

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