Entire positive \(k\)-convex solutions to \(k\)-Hessian type equations and systems
From MaRDI portal
Publication:2127501
DOI10.3934/era.2022025zbMath1490.35020OpenAlexW4211110070MaRDI QIDQ2127501
Shuangshuang Bai, Xuemei Zhang, Mei-Qiang Feng
Publication date: 20 April 2022
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2022025
monotone iteration scheme\(k\)-Hessian type equation and systementire positive \(k\)-convex solution
Nonlinear elliptic equations (35J60) Second-order elliptic systems (35J47) Entire solutions to PDEs (35B08) Monge-Ampère equations (35J96)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Entire large solutions for semilinear elliptic equations
- Existence and multiplicity for negative solutions of \(k\)-Hessian equations
- Entire large solutions to semilinear elliptic systems
- On the inequality \(\Delta u \geqq f (u)\)
- A remark on the existence of entire positive solutions for a class of semilinear elliptic systems
- Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- Existence of entire large positive solutions of semilinear elliptic systems
- Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation
- Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior
- The eigenvalue problem of a singular \(k\)-Hessian equation
- A remark on the existence of positive radial solutions to a Hessian system
- The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general \(k\)-Hessian equations
- Existence of entire radial large solutions for a class of Monge-Ampère type equations and systems
- Iterative properties of solution for a general singular \(n\)-Hessian equation with decreasing nonlinearity
- On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights
- Existence and nonexistence of subsolutions for augmented Hessian equations
- The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation
- Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior
- On solutions of δu=f(u)
- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- Large solutions of semilinear elliptic problems
- Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations
- A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator
This page was built for publication: Entire positive \(k\)-convex solutions to \(k\)-Hessian type equations and systems
