Smoothness of hyperbolic radius

DOI10.1016/j.crma.2003.10.037zbMath1188.35073OpenAlexW2074032305MaRDI QIDQ1426537

Satyanad Kichenassamy

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.037

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Related Items (1)

Boundary behavior in the Loewner-Nirenberg problem

Cites Work

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• On the inequality \(\Delta u \geqq f (u)\)
• Convexity of solutions of semilinear elliptic equations
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• Asymptotic behavior of solutions of boundary blow-up problems
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• On a conjecture of Fefferman and Graham
• On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems.
• On solutions of δu=f(u)
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $

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