Quoc-Hung Nguyen

An elliptic semilinear equation with source term and boundary measure data: the supercritical case

We give new criteria for the existence of weak solutions to equation with source term \begin{align*}-\Delta u = u^q ~~\text{in}~\Omega,~~u=\sigma~~\text{on }~\partial\Omega\end{align*}where

Stability properties for quasilinear parabolic equations with measure data

q>1

Pointwise estimates and existence of solutions of porous medium and p-Laplace evolution equations with absorption and measure data

,

Evolution equations of p-Laplace type with absorption or source terms and measure data

\Omega

Quasilinear and Hessian Type Equations with Exponential Reaction and Measure Data

is a either a bounded smooth domain or

Wiener Criteria for Existence of Large Solutions of Quasilinear Elliptic Equations with Absorption

\mathbb{R}_+^{N}

Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields.

and

Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data

\sigma\in \mathfrak{M}^+(\partial\Omega)

Quantitative estimates for regular Lagrangian flows with

is a nonnegative Radon measure on

BV

\partial\Omega