Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates
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Publication:2079854
DOI10.1007/s00526-022-02315-3zbMath1500.35195OpenAlexW4296120152WikidataQ114228915 ScholiaQ114228915MaRDI QIDQ2079854
Publication date: 7 October 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-022-02315-3
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Monge-Ampère equations (35J96)
Related Items
Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms, Boundary blow-up solutions to singular \(k\)-Hessian equations with gradient terms: sufficient and necessary conditions and asymptotic behavior, Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations, The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation, Eigenvalue problems for singular \(p\)-Monge-Ampère equations, Sufficient and necessary conditions on the existence and estimates of boundary blow-up solutions for singular \(p\)-Laplacian equations, A class of singular \(k_{i}\)-Hessian systems, A class of singular coupled systems of superlinear Monge-Ampère equations, Necessary and sufficient conditions of entire subsolutions to Monge-Ampère type equations
Cites Work
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- Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem
- Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps
- The exact blow-up rates of large solutions for semilinear elliptic equations
- On the exterior Dirichlet problem for the Monge-Ampère equation in dimension two
- On the inequality \(\Delta u \geqq f (u)\)
- \(C^{1}\) regularity of solutions of the Monge-Ampère equation for optimal transport in dimension two
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- Blow-up behavior of ground states of semilinear elliptic equations in \(R^ n\) involving critical Sobolev exponents
- Existence of multiple solutions to the equations of Monge-Ampère type
- Refined boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge-Ampère equation
- Boundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearity
- Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation
- The Monge-Ampère equation with infinite boundary value
- Existence and nonexistence to exterior Dirichlet problem for Monge-Ampère equation
- Extremal singular solutions for degenerate logistic-type equations in anisotropic media
- On singular boundary value problems for the Monge-Ampère operator
- On the blow-up boundary solutions of the Monge-Ampére equation with singular weights
- A unified asymptotic behavior of boundary blow-up solutions to elliptic equations.
- On the exterior Dirichlet problem for Monge-Ampère equations
- Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness
- Boundary behavior of large solutions to the Monge-Ampère equations with weights
- Boundary regularity for the Monge-Ampère and affine maximal surface equations
- Global smoothness for a singular Monge-Ampère equation
- Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior
- On the Monge-Ampère equation with boundary blow-up: existence, uniqueness and asymptotics
- Existence and estimates of solutions to a singular Dirichlet problem for the Monge-Ampère equation
- Optimal uniqueness theorems and exact blow-up rates of large solutions
- On a real Monge-Ampère functional
- On solutions of δu=f(u)
- On the existence of solutions to the Monge-Ampère equation with infinite boundary values
- Boundary blow-up in nonlinear elliptic equations of Bieberbach–Rademacher type
- 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
- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- On a dirichlet problem with a singular nonlinearity
- On an elliptic problem with boundary blow-up and a singular weight: the radial case
- On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
- Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
- Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
- General uniqueness results and variation speed for blow-up solutions of elliptic equations
- Regularly varying functions
- Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights
- The Bieberbach-Rademacher problem for the Monge-Ampère operator
