A variational theory of the Hessian equation
Copyright policy )A variational theory of the Hessian equation
AbstractBy studying a negative gradient flow of certain Hessian functionals we establish the existence of critical points of the functionals and consequently the existence of ground states to a class of nonhomogenous Hessian equations. To achieve this we derive uniform, first‐ and second‐order a priori estimates for the elliptic and parabolic Hessian equations. Our results generalize well‐known results for semilinear elliptic equations and the Monge‐Ampère equation. © 2001 John Wiley & Sons, Inc.
- Australian National University Australia
- Chinese University of Hong Kong China (People's Republic of)
- The Chinese University of Hong kong Hong Kong
Variational methods for second-order elliptic equations, Variational methods applied to PDEs, Nonlinear boundary value problems for linear elliptic equations, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Nonlinear elliptic equations, Hessian equation, ground states
Variational methods for second-order elliptic equations, Variational methods applied to PDEs, Nonlinear boundary value problems for linear elliptic equations, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Nonlinear elliptic equations, Hessian equation, ground states
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