On the existence of solutions of the Dirichlet problem for the \(p\)-Laplacian on Riemannian manifolds

DOI10.1134/s0001434623110056arXiv2302.13366OpenAlexW4392750958MaRDI QIDQ6154065

S. M. Bakiev, Andrej A. Kon'kov

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.13366

zbMATH Keywords

Dirichlet problemexistence\(p\)-LaplacianRiemann manifold

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Generalized harmonic functions of Riemannian manifolds with ends
• Existence and uniqueness of an energy solution to the Dirichlet problem for the Laplace equation in the exterior of a multi-dimensional paraboloid
• A boundary value problem for the~Laplacian with rapidly changing type of~boundary conditions in a~multidimensional domain
• Existence of solutions to the second boundary-value problem for the \(p\)-Laplacian on Riemannian manifolds
• Many-dimensional Zaremba problem for an inhomogeneous \(p\)-Laplace equation
• Dimension of spaces of harmonic functions
• ON THE DIMENSION OF THE SOLUTION SPACE OF ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS
• On solvability of the boundary value problems for harmonic function on noncompact Riemannian manifolds
• THE SOLUTION OF THE FIRST BOUNDARY-VALUE PROBLEM FOR SELF-ADJOINT ELLIPTIC EQUATIONS IN THE CASE OF AN UNBOUNDED REGION
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