Nontrivial solutions for the equations of Monge-Ampère type

DOI10.1016/0022-247X(88)90071-6zbMath0658.35035OpenAlexW2037824803MaRDI QIDQ1111763

Nickolai Kutev

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90071-6

zbMATH Keywords

uniquenessExistenceradially symmetricradially symmetric solutionconvex solutionMonge-Ampère type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (15)

Existence of convex solutions for systems of Monge-Ampère equations ⋮ Convex solutions of boundary value problems ⋮ Positive convex solutions of boundary value problems arising from Monge-Ampère equations ⋮ Radially symmetric convex solutions for Dirichlet problems of Monge-Ampère equations ⋮ Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator ⋮ Global bifurcation and convex solutions for the Monge-Ampère equation ⋮ Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior ⋮ Two Whyburn type topological theorems and its applications to Monge-Ampère equations ⋮ Global bifurcation from intervals for the Monge-Ampère equations and its applications ⋮ Existence of multiple solutions to the equations of Monge-Ampère type ⋮ On radial solutions for Monge–Ampère equations ⋮ Unnamed Item ⋮ Positive solutions of two-point boundary value problems for Monge-Ampère equations ⋮ Necessary and sufficient conditions of entire subsolutions to Monge-Ampère type equations ⋮ Nontrivial solutions for Monge-Ampère type operators in convex domains

Cites Work

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• Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
• Sur les équations de Monge-Ampère. (About the Monge-Ampère equations)
• Two remarks on Monge-Ampère equations
• Symmetry and related properties via the maximum principle
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

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