Necessary and sufficient conditions of entire subsolutions to Monge-Ampère type equations
From MaRDI portal
Publication:2105337
DOI10.1007/s43034-022-00228-yzbMath1505.35237OpenAlexW4308326736MaRDI QIDQ2105337
Publication date: 8 December 2022
Published in: Annals of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43034-022-00228-y
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)
Related Items
Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms ⋮ Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations ⋮ Eigenvalue problems for singular \(p\)-Monge-Ampère equations ⋮ Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems
Cites Work
- Unnamed Item
- Existence and nonexistence theorem for entire subsolutions of \(k\)-Yamabe type equations
- On the inequality \(\Delta u \geqq f (u)\)
- Existence and non-existence of solutions for a class of Monge-Ampère equations
- Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
- Nontrivial solutions for the equations of Monge-Ampère type
- Existence and nonexistence of entire solutions to the logistic differential equation
- Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates
- The Keller-Osserman problem for the k-Hessian operator
- Existence and nonexistence of subsolutions for augmented Hessian equations
- Entire subsolutions of Monge-Ampère type equations
- Boundary \(C^{2, \alpha}\) estimates for Monge-Ampère type equations
- Regularity of potential functions of the optimal transportation problem
- Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior
- On the Dirichlet problem for Monge-Ampère type equations
- Entire subsolutions of fully nonlinear degenerate elliptic equations
- On solutions of δu=f(u)
- Necessary and sufficient conditions on solvability for Hessian inequalities
- InteriorC2,αRegularity for Potential Functions in Optimal Transportation
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
