Classical boundary value problems for Monge-Ampère type equations
Hessian measures. II.
Lipschitz Continuous Solutions of Elliptic Equations of the Form ...(Du)D²u = 0.
A Sharp Inequality for Subharmonic Functions on Two-Dimensional Manifolds.
Gradient Estimates and Mean Curvatures.
On the First Eigenvalue of Non-Uniformly Elliptic Boundary Value Problems.
Maximum Principles for Linear, Non-Unifomly Elliptic Operators with Measurable Coefficients.
On new isoperimetric inequalities and symmetrization.
A priori Bounds and necessary conditions for solvability of prescribed curvature equations.
Harnack Inequalities for Nonuniformly Elliptic Divergence Structure Equations.
Local Estimates for Subsolutions and Supersolutions of General Second Order Elliptic Quasilinear Equations.
Linear elliptic operators with measurable coefficients
Isoperimetric inequalities for quermassintegrals
Remarks concerning the conformal deformation of riemannian structures on compact manifolds
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.
We prove comparison principles for viscosity solutions of nonlinear second order, uniformly elliptic equations, which extend previous results of P. L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.
Harnack inequalities for quasi-minima of variational integrals
The mean curvature measure
We assign a measure to an upper semicontinuous function which is subharmonic with respect to the mean curvature operator, so that it agrees with the mean curvature of its graph when the function is smooth. We prove that the measure is weakly continuous with respect to almost everywhere convergence. We also establish a sharp Harnack inequality for the minimal surface equation, which is crucial for our proof of the weak continuity. As an application we prove the existence of weak solutions to the...
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