Mathematics

Solvability of the Neumann problem for the $p$-Laplacian on manifolds with a model end

V. V. Brovkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A criterion for the existence of solutions to the Neumann boundary value problem for the $p$-Laplacian on Riemannian manifolds with a model end is obtained.

Key words: Neumann problem, $p$-Laplacian, manifold with a model end.

UDC: 517

Received: 23.11.2022

DOI: 10.55959/MSU0579-9368-1-65-3-1

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2024, 79:3, 103–111

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