Existence of absolute minimizers for noncoercive Hamiltonians and viscosity solutions of the Aronsson equation

DOI10.3934/MCRF.2012.2.399zbMath1264.35097OpenAlexW2318190262MaRDI QIDQ1941661

Pierpaolo Soravia

Publication date: 21 March 2013

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2012.2.399

zbMATH Keywords

Perron's methodeikonal equationdistance functionsminimization in \(L^\infty\)

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Degenerate elliptic equations (35J70) Existence theories for free problems in two or more independent variables (49J10) Variational methods for second-order elliptic equations (35J20) Viscosity solutions to PDEs (35D40)

Related Items (1)

The Aronsson equation, Lyapunov functions, and local Lipschitz regularity of the minimum time function

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