On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation
https://doi.org/10.26907/2541-7746.2025.1.150-168
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.
About the Authors
A. S. Tersenov
Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
Russian Federation
Russian Federation
Aris S. Tersenov, Dr. Sci. (Physics and Mathematics), Leading Researcher, Sobolev Institute of Mathematics, Siberian Branch
Novosibirsk
R. C. Safarov
Novosibirsk State University; Karshi State University
Russian Federation
Russian Federation
Rasul C. Safarov, Postgraduate Student
Novosibirsk
Karshi
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For citations:
Tersenov A.S., Safarov R.C. On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2025;167(1):150-168. (In Russ.) https://doi.org/10.26907/2541-7746.2025.1.150-168
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