Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms
DOI10.1515/GMJ-2023-2033zbMath1525.35157OpenAlexW4378802589MaRDI QIDQ6080341
Xingyue He, Chenghua Gao, Xiaobin Yao, Jing-jing Wang
Publication date: 30 October 2023
Published in: Georgian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/gmj-2023-2033
asymptotic behaviorDirichlet conditionexistence of strictly convex solutionssingular \(k\)-Hessian equation
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of boundary blow-up solutions to elliptic equations
- Boundary behavior of large solutions to \(p\)-Laplacian elliptic equations
- The boundary behavior of the unique solution to a singular Dirichlet problem
- Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior
- Optimal boundary regularity for a singular 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
- Boundary behavior of \(k\)-convex solutions for singular \(k\)-Hessian equations
- On singular boundary value problems for the Monge-Ampère operator
- Large solutions of semilinear elliptic equations with a gradient term: existence and boundary behavior
- Entire large solutions to the \(k\)-Hessian equations with weights: existence, uniqueness and asymptotic behavior
- Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations
- Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior
- Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth
- Time-dependent tug-of-war games and normalized parabolic \(p\)-Laplace equations
- On a singular \(k\)-Hessian equation
- Asymptotic behavior of solutions of a \(k\)-Hessian evolution equation
- On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights
- Optimal global asymptotic behavior of the solution to a singular Monge-Ampère equation
- Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation
- The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation
- Exact behavior of the unique positive solution to some singular elliptic problem in exterior domains
- Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior
- Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient Term
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- Asymptotic behaviour of solutions of elliptic equations with critical exponents and Neumann boundary conditions
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- The dirichlet problem for a class of fully nonlinear elliptic equations
- Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms
- Hessian equations with infinite Dirichlet boundary
- Regularly varying functions
- Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights
This page was built for publication: Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms
