Nontrivial solutions for Monge-Ampère type operators in convex domains

DOI10.1007/BF02568326zbMath0794.35027OpenAlexW1964888382MaRDI QIDQ1313546

Sergio Polidoro, Franchi Bruno, Nickolai Kutev

Publication date: 31 August 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155822

zbMATH Keywords

Dirichlet problemeigenvalue problemMonge-Ampère equationnonexistence resultexistence of a nontrivial convex solution

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for nonlinear higher-order PDEs (35G30)

Cites Work

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• Remarks on critical exponents for Hessian operators
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
• Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
• The equation of prescribed Gauss curvature without boundary conditions
• Two remarks on Monge-Ampère equations
• Nontrivial solutions for the equations of Monge-Ampère type
• An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains
• Regularity of generalized solutions of Monge-Ampère equations
• Dual variational methods in critical point theory and applications
• Comparison principles for weak solutions of monge–ampere equations
• L^pand Hölder estimates for a class fo degenerate elliptic boundary value problems Application to the Monge–Amp ére equation
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces