João Vítor da Silva

Sharp regularity estimates for second order fully nonlinear parabolic equations

We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic equations of the form Eq

Regularity for degenerate evolution equations with strong absorption

\begin{aligned} u_t - F\left( D^2u, Du, X, t\right) = f(X,t) \quad \text{ in } \quad Q_1, \end{aligned}

The ∞-Fucík spectrum

ut-FD2u,Du,X,t=f(X,t)inQ1,where F is elliptic with respect to the Hessian argument and

Cavity type problems ruled by infinity Laplacian operator

f \in L^{p,q}(Q_1)

An optimization problem with volume constraint with applications to optimal mass transport.

f∈Lp,q(Q1). The quantity