Elliptic regularization of the isometric immersion problem

DOI10.1007/s12220-017-9933-xzbMath1407.53006arXiv1702.05623OpenAlexW2762917023MaRDI QIDQ1711029

Michael T. Anderson

Publication date: 16 January 2019

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

Full work available at URL: https://arxiv.org/abs/1702.05623

zbMATH Keywords

elliptic systemisometric immersion

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Singular perturbations in context of PDEs (35B25) Second-order elliptic equations (35J15)

Related Items (1)

Sol Golomb's 60th birthday symposium. Papers from the symposium, Oxnard, CA, USA, May 29--31, 1992

Cites Work

• Lectures on representations of surface groups
• On the isometric embedding of torus in \(\mathbb R^3\)
• On boundary value problems for Einstein metrics
• Regular homotopy classes of immersed surfaces
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Conformal immersions of prescribed mean curvature in \(\mathbb{R}^3\)
• Black-hole thermodynamics and the Euclidean Einstein action
• A Classification of Immersions of the Two-Sphere
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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