Prescribing the Gaussian curvature in a subdomain of \(\mathbb {S}^2\) with Neumann boundary condition

DOI10.1007/s12220-015-9566-xzbMath1335.35036arXiv1402.2124OpenAlexW2223293297MaRDI QIDQ254302

David Ruiz, Rafael López-Soriano

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2124

zbMATH Keywords

variational methodsNeumann boundary conditionprescribed Gaussian curvature problem

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Existence and non existence results for the singular Nirenberg problem ⋮ Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials ⋮ Prescribing Gaussian and geodesic curvature on disks ⋮ A double mean field equation related to a curvature prescription problem ⋮ Prescribing the curvature of Riemannian manifolds with boundary ⋮ Uniform bounds for solutions to elliptic problems on simply connected planar domains ⋮ Critical metrics and curvature of metrics with unit volume or unit area of the boundary

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