On the solvability of boundary value problems for the stationary Schrödinger equation in unbounded domains on Riemannian manifolds

DOI10.1134/S001226611506004XzbMath1325.58013OpenAlexW1070386636WikidataQ115251487 ScholiaQ115251487MaRDI QIDQ498270

S. A. Korol'kov

Publication date: 28 September 2015

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226611506004x

zbMATH Keywords

Dirichlet problemboundary value problemsstationary Schrödinger equationequivalent functions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32)

Related Items (6)

Boundary-value problems for the inhomogeneous Schr"odinger equation with variations of its potential on non-compact Riemannian manifolds ⋮ Solvability of boundary value problems for Poisson's equation in unbounded domains on noncompact Riemannian manifolds ⋮ On solvability of the boundary value problems for the inhomogeneous elliptic equations on noncompact Riemannian manifolds ⋮ Generalized solutions to boundary-value problems for quasilinear elliptic equations on noncompact Riemannian manifolds ⋮ On solvability of the boundary value problems for harmonic function on noncompact Riemannian manifolds ⋮ A note on some remarkable differential equations on a Riemannian manifold

Cites Work

• Generalized harmonic functions of Riemannian manifolds with ends
• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• Unbounded solutions of the stationary Schrödinger equation on Riemannian manifolds
• Asymptotic Dirichlet Problems for Harmonic Functions on Riemannian Manifolds
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
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