On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation

The Neumann boundary value problem for the p-Laplace equation with a low order term that does not satisfy the Bernstein–Nagumo condition was studied. The solvability of the problem in the class of radially symmetric solutions was investigated. A class of gradient nonlinearities was defined, for which the existence of a weak Sobolev radially symmetric solution that has a H¨older continuous derivative with exponent 1 p−1 was proved.

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Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
Published
2025-04-07
DOI
https://doi.org/10.26907/2541-7746.2025.1.150-168
Primary Topic
Nonlinear Partial Differential Equations
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article
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article

On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation

Ar. S. Tersenov, R. C. Safarov
Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
Nonlinear Partial Differential Equations
article

On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation

Ar. S. Tersenov, R. C. Safarov
article en

Abstract

The Neumann boundary value problem for the p-Laplace equation with a low order term that does not satisfy the Bernstein–Nagumo condition was studied. The solvability of the problem in the class of radially symmetric solutions was investigated. A class of gradient nonlinearities was defined, for which the existence of a weak Sobolev radially symmetric solution that has a H¨older continuous derivative with exponent 1 p−1 was proved.

Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie naukiVol. 167(1)
Russian Academy of Sciences (RU), Novosibirsk State University (RU), Sobolev Institute of Mathematics (RU), Karshi State University (UZ)
Openalex Percentile: Top 90%
Nonlinear Partial Differential Equations
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