Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations
From MaRDI portal
Publication:2657697
DOI10.1016/j.jmaa.2020.124439zbMath1460.35149OpenAlexW3044675627MaRDI QIDQ2657697
Publication date: 14 March 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124439
Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (11)
New results of positive doubly periodic solutions to telegraph equations ⋮ On the solutions to weakly coupled system of \(\boldsymbol{k_i}\)-Hessian equations ⋮ Positive solutions for biharmonic equations: existence, uniqueness and multiplicity ⋮ Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity ⋮ The existence of radial \(k\)-admissible solutions for \(n\)-dimension system of \(k\)-Hessian equations ⋮ Eigenvalue problems for singular \(p\)-Monge-Ampère equations ⋮ Boundary regularity for \(k\)-Hessian equations ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ Positive solutions of biharmonic elliptic problems with a parameter ⋮ A class of singular \(k_{i}\)-Hessian systems ⋮ Uniqueness of radial solutions for a class of non-autonomous \(k\)-Hessian equations in a ball
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term
- A uniqueness result for a semipositone \(p\)-Laplacian problem on the exterior of a ball
- Bernstein theorem and regularity for a class of Monge-Ampère equations
- Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps
- Uniqueness of nonnegative solutions for semipositone problems on exterior domains
- On a power-type coupled system of Monge-Ampère equations
- Removable singularities of \(m\)-Hessian equations
- Existence and multiplicity for negative solutions of \(k\)-Hessian equations
- Structure of positive radial solutions of semilinear elliptic equations
- Weighted eigenvalue problems for Hessian equations
- Convex solutions of boundary value problem arising from Monge-Ampère equations
- Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
- Existence and non-existence of solutions for a class of Monge-Ampère equations
- Boundary asymptotical behavior of large solutions to Hessian equations
- Existence and uniqueness of positive solutions to a semilinear elliptic problem in \(\mathbb{R}^N\)
- Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball
- Existence and uniqueness for a class of quasilinear elliptic boundary value problems.
- Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms
- New results of coupled system of \(k\)-Hessian equations
- 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
- Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
- Uniqueness of positive solutions for a class of semilinear elliptic systems
- On singular boundary value problems for the Monge-Ampère operator
- Critical dimension of a Hessian equation involving critical exponent and a related asymptotic result
- \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation
- A Bernstein type theorem for parabolic \(k\)-Hessian equations
- Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior
- Upper bounds for the eigenvalues of Hessian equations
- On the Dirichlet problem for a class of augmented Hessian equations
- On a singular \(k\)-Hessian equation
- Large solutions of fully nonlinear equations: existence and uniqueness
- On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights
- Existence and nonexistence of subsolutions for augmented Hessian equations
- Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness
- The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation
- Boundary behavior of large solutions to the Monge-Ampère equations with weights
- Bifurcation and admissible solutions for the Hessian equation
- Harnack inequality for nonlinear elliptic equations with strong absorption
- Global smoothness for a singular Monge-Ampère equation
- Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior
- Uniqueness of positive radial solutions for infinite semipositone \(p\)-Laplacian problems in exterior domains
- On a class of fully nonlinear parabolic equations
- Existence and estimates of solutions to a singular Dirichlet problem for the Monge-Ampère equation
- Boundary behavior of solutions of Monge-Ampère equations with singular righthand sides
- Uniqueness theorems for negative radial solutions of \(k\)-Hessian equations in a ball
- ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains
- On the exterior Dirichlet problem for Hessian equations
- On the number of positive solutions for nonlinear elliptic equations when a parameter is large
- Uniqueness of Radial Solutions of Semilinear Elliptic Equations
- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large
- The maximum principle with lack of monotonicity
- Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations
- Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity
- Necessary and sufficient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains
- On the Symmetry of Solutions to a k-Hessian Type Equation
- Uniqueness of solutions of nonlinear Dirichlet problems
This page was built for publication: Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations