Research


Partial regularity for type two doubly nonlinear parabolic systems

Large time behavior of solutions of Trudinger's equation

Partial regularity for doubly nonlinear parabolic systems of the first type

Extremal functions for Morrey's inequality in convex domains

Approximation of the least Rayleigh quotient for degree p homogeneous functionals   Journal of Functional Analysis

An eigenvalue problem for fully nonlinear elliptic equations with gradient constraints Calculus of Variations and Partial Differential Equations

On Hamilton-Jacobi-Bellman equations with convex gradient constraints Interfaces and Free Boundaries

Compactness methods for doubly nonlinear parabolic systems  Transactions of the American Mathematical Society

Hölder estimates and large time behaviour for a nonlocal doubly nonlinear evolution Analysis & PDE

A doubly nonlinear evolution for the optimal Poincaré inequality Calculus of Variations and Partial Differential Equations

Plateau's Rotating drops and rotational figures of equilibrium   Journal of Mathematical Analysis and Applications

Inverse iteration for p-ground states   Proceedings of the American Mathematical Society

Value functions in the Wasserstein spaces: finite time horizons   Journal of Functional Analysis

Infinite horizon value functions in the Wasserstein spaces  Journal of Differential Equations

Option pricing in the large risk aversion, small transaction cost limit  Communications in Partial Differential Equations

Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping   SIAM Journal of Mathematical Analysis

Nonuniqueness of infinity ground states   Calculus of Variations and Partial Differential Equations

A blowup criterion for ideal viscoelastic flow   Journal of Mathematical Fluid Mechanics

The eigenvalue problem of singular ergodic control   Communications of Pure and Applied Mathematics

Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic singular control   ESAIM COCV

PDE with gradient constraints arising in the optimal control of singular stochastic processes   PhD dissertation

Symmetric constant mean curvature surfaces in S3   Pacific Journal of Mathematics

Toroidal Rotating Drops   Pacific Journal of Mathematics

Minimal Surfaces in the three-sphere with special spherical symmetry   Master's thesis