Triple nontrivial radial convex solutions of systems of Monge-Ampère equations
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Publication:656708
DOI10.1016/j.aml.2011.07.016zbMath1233.35106OpenAlexW2019910098MaRDI QIDQ656708
Publication date: 13 January 2012
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.016
Related Items (10)
Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Existence of entire radial solutions to Hessian type system ⋮ Radially symmetric convex solutions for Dirichlet problems of Monge-Ampère equations ⋮ Existence and nonexistence of entire \(k\)-convex radial solutions to Hessian type system ⋮ Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights ⋮ A class of singular \(k_{i}\)-Hessian systems ⋮ Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator ⋮ On radial solutions for Monge–Ampère equations ⋮ Positive solutions of two-point boundary value problems for Monge-Ampère equations ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations
Cites Work
- Convex solutions of boundary value problem arising from Monge-Ampère equations
- Existence and non-existence of solutions for a class of Monge-Ampère equations
- Three positive doubly periodic solutions of a nonlinear telegraph system
- Triple positive solutions and dependence on higher order derivatives
- Classical solutions of singular Monge-Ampère equations in a ball
- Convex solutions of boundary value problems
- Singular boundary value problems for the Monge-Ampère equation
- Convex Solutions of systems of Monge-Amp\`ere equations
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
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