Hessian measures. II
From MaRDI portal
Publication:1970466
DOI10.2307/121089zbMath0947.35055arXivmath/9909199OpenAlexW2082434794MaRDI QIDQ1970466
Neil S. Trudinger, Xu-Jia Wang
Publication date: 13 July 2000
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9909199
Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Spaces of measures, convergence of measures (28A33) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (only showing first 100 items - show all)
The Dirichlet Problem for Degenerate Hessian Equations ⋮ Necessary and sufficient conditions on global solvability for the p-k-Hessian inequalities ⋮ A variational theory of the Hessian equation ⋮ Hessian inequalities and the fractional Laplacian ⋮ On a class of Hessian type equations on Riemannian manifolds ⋮ Tangents to subsolutions: existence and uniqueness, Part I ⋮ Stability results for some fully nonlinear eigenvalue estimates ⋮ Necessary and sufficient conditions to Bernstein theorem of a Hessian equation ⋮ C^{1,\alpha} Regularity of convex hypersurfaces with prescribed curvature measures ⋮ A gradient type term for the \(k\)-Hessian equation ⋮ Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems ⋮ Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations ⋮ The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold ⋮ The complex Hessian equation with infinite Dirichlet boundary value ⋮ Remarks on the Pucci conjecture ⋮ The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation ⋮ Eigenvalue problems for singular \(p\)-Monge-Ampère equations ⋮ THE DISTRIBUTIONAL -HESSIAN IN FRACTIONAL SOBOLEV SPACES ⋮ \(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities ⋮ On \(L^\infty\) estimates for complex Monge-Ampère equations ⋮ Existence results for the \(k\)-Hessian type system with the gradients via \(\mathbb{R}_+^n\)-monotone matrices ⋮ Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ Monge-Ampère operators and valuations ⋮ Integrability, regularity and symmetry of positive integrable solutions for Wolff type integral systems ⋮ Three radially symmetric k-admissible solutions for k-Hessian equation ⋮ Unnamed Item ⋮ Sharp estimates of semistable radial solutions of k-Hessian equations ⋮ Hessian valuations ⋮ Necessary and sufficient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains ⋮ WEAK CONTINUITY OF THE COMPLEX -HESSIAN OPERATORS WITH RESPECT TO LOCAL UNIFORM CONVERGENCE ⋮ Existence of solutions with asymptotic behavior of exterior problems of Hessian equations ⋮ An Alexsandrov type theorem for k-convex functions ⋮ Isolated singularities for fully nonlinear elliptic equations ⋮ Complex Hessian operator and Lelong number for unbounded m-subharmonic functions ⋮ Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations ⋮ Entire Solutions to Generalized Parabolic k-Hessian Equations ⋮ Necessary and sufficient conditions on solvability for Hessian inequalities ⋮ Local Integral Estimates and Removable Singularities for Quasilinear and Hessian Equations with Nonlinear Source Terms ⋮ Radial symmetric solution of complex Hessian equation in the unit ball ⋮ Estimates for k-Hessian operator and some applications ⋮ Bounded solutions of a \(k\)-Hessian equation in a ball ⋮ Asymptotic mean-value formulas for solutions of general second-order elliptic equations ⋮ Viscosity solutions to quaternionic Monge-Ampère equations ⋮ Radial solutions for fully nonlinear elliptic equations of Monge-Ampère type ⋮ A Liouville-Gelfand equation for \(k\)-Hessian operators ⋮ On the solutions to weakly coupled system of \(\boldsymbol{k_i}\)-Hessian equations ⋮ Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures ⋮ On existence and uniqueness of viscosity solutions to obstacle problems for a class of second order partial differential equations ⋮ The obstacle problem for Hessian equations on Riemannian manifolds ⋮ Global structure of admissible solutions for the \(k\)-Hessian equation on bounded domain ⋮ The Dirichlet problem with prescribed interior singularities ⋮ Nonlinear elliptic equations and intrinsic potentials of Wolff type ⋮ Nonexistence results for a fully nonlinear evolution inequality ⋮ Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) ⋮ The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures ⋮ Oblique boundary value problems for augmented Hessian equations. I ⋮ Capacities and Hessians in the class of \(m\)-subharmonic functions ⋮ Isoperimetric estimates for eigenfunctions of Hessian operators ⋮ Principal eigenvalues for \(k\)-Hessian operators by maximum principle methods ⋮ Asymptotic behaviour of Hessian equation with boundary blow up ⋮ Bifurcation and admissible solutions for the Hessian equation ⋮ Superposition of \(p\)-superharmonic functions ⋮ The Keller-Osserman problem for the k-Hessian operator ⋮ An approximation result for solutions of Hessian equations ⋮ Prescribing curvature problem of Bakry-Émery Ricci tensor ⋮ Solutions to degenerate complex Hessian equations ⋮ Hessian measures on the Heisenberg group ⋮ Generalized solutions of curvature equations ⋮ Lelong-Jensen type formula, \(k\)-Hessian boundary measure and Lelong number for \(k\)-convex functions ⋮ Quasilinear and Hessian Lane-Emden type systems with measure data ⋮ Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds ⋮ The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general \(k\)-Hessian equations ⋮ Bilateral estimates of solutions to quasilinear elliptic equations with sub-natural growth terms ⋮ The Hadwiger theorem on convex functions. IV: The Klain approach ⋮ Extremal for a \(k\)-Hessian inequality of Trudinger-Moser type ⋮ Regularity of solutions for an integral system of Wolff type ⋮ Multiple solutions to Hessian equations ⋮ The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds ⋮ A potential theory for the \(k\)-curvature equation ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ Radial fractional Laplace operators and Hessian inequalities ⋮ Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems ⋮ Linear potentials in nonlinear potential theory ⋮ A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry ⋮ Multi-valued solutions to Hessian equations ⋮ Existence and nonexistence theorem for entire subsolutions of \(k\)-Yamabe type equations ⋮ The geometry of \(m\)-hyperconvex domains ⋮ Decay rates for solutions of an integral system of Wolff type ⋮ The inhomogeneous Dirichlet problem for natural operators on manifolds ⋮ Potential theory in the class of \(m\)-subharmonic functions ⋮ Isolated singularities for some types of curvature equations. ⋮ Wiener regularity for large solutions of nonlinear equations ⋮ On some properties of the positive \(m\)-Hessian operators in \(C^2(\Omega)\) ⋮ The Neumann problem for Hessian equations ⋮ On polyharmonic regularizations of \(k\)-Hessian equations: variational methods ⋮ Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group ⋮ Complex Hessian operator and generalized Lelong numbers associated to a closed \(m\)-positive current ⋮ Upper bounds for the eigenvalues of Hessian equations ⋮ Bernstein type theorem for the generalized parabolic 2-Hessian equation under weaker conditions
This page was built for publication: Hessian measures. II
