Variational problems and elliptic Monge-Ampère equations

DOI10.4310/jdg/1214438177zbMath0537.58019OpenAlexW2060530594WikidataQ115187912 ScholiaQ115187912MaRDI QIDQ792670

Ilya J. Bakelman

Publication date: 1983

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214438177

zbMATH Keywords

Euler's equationdual convex hypersurfaces

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

On a real Monge-Ampère functional, Isogeometric Method for the Elliptic Monge-Ampère Equation, Uniqueness of least energy solutions for Monge-Ampère functional, Convexity of Hessian integrals and Poincaré type inequalities, Existence of multiple solutions to the equations of Monge-Ampère type, Reflection principle for classical solutions of the homogeneous real Monge–Ampère equation, Existence and non-existence of solutions for a class of Monge-Ampère equations, Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations