Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions

DOI10.1016/j.matpur.2012.05.007zbMath1259.35072OpenAlexW2061582952MaRDI QIDQ694653

Andrea Cianchi, Vladimir Gilelevich Maz'ya

Publication date: 13 December 2012

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2012.05.007

zbMATH Keywords

Schrödinger equationisoperimetric inequalitiesNeumann problembounded solutionsirregular domainsisocapacitary inequalitiesunbounded potentials

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Sobolev embeddings into Orlicz spaces and isocapacitary inequalities ⋮ Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds ⋮ Global boundedness of the gradient for a class of Schrödinger equations ⋮ Scale invariant regularity estimates for second order elliptic equations with lower order coefficients in optimal spaces ⋮ Global gradient estimates in elliptic problems under minimal data and domain regularity

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