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On the existence of solutions of the Neumann problem for the \(p \)-Laplacian on hyperbolic manifolds with a model end. (English. Russian original) Zbl 1486.35232

Differ. Equ. 58, No. 1, 139-141 (2022); translation from Differ. Uravn. 58, No. 1, 139-141 (2022).
Summary: A criterion for the existence of solutions of the second boundary value problem for the \(p \)-Laplacian on hyperbolic Riemannian manifolds with a model end is obtained.

MSC:

35J92 Quasilinear elliptic equations with \(p\)-Laplacian
35R01 PDEs on manifolds
35J25 Boundary value problems for second-order elliptic equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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