Über nichtlineare, konkave elliptische Differentialgleichungen. (On nonlinear concave elliptic differential equations)

DOI10.1007/BF01162718zbMath0594.35033MaRDI QIDQ1076903

Friedmar Schulz

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173686

zbMATH Keywords

equationnonlinear elliptic equationsMonge-AmpèreHamilton-Jacobi-Bellmann equationa priori estimates to the second derivation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Related Items (8)

Dirichlet problem for the equation of a given Lorentz-Gaussian curvature ⋮ The complex Monge-Ampère equation on compact Kähler manifolds ⋮ Boundary regularity for certain quasilinear elliptic systems of divergence structure ⋮ Isolated singularities of elliptic Monge-Ampère equations in dimensions \(n\geq 2\) ⋮ Global regularity of solutions of nonlinear second order elliptic and parabolic differential equations ⋮ Regularity of generalized solutions of Monge-Ampère equations ⋮ The Complex Monge–Ampère Equation in Kähler Geometry ⋮ Interior regularity of the complex Monge-Ampère equation in convex domains

Cites Work

• A priori estimates for solutions of Monge-Ampère equations
• Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations
• The Green function for uniformly elliptic equations
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• On nonlinear elliptic partial differential equations and hölder continuity
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