G. Sakellaris

activity

20182020

collaborators

4 papers

math.AP2020

Scale invariant regularity estimates for second order elliptic equations with lower order coefficients in optimal spaces

Georgios Sakellaris

We show local and global scale invariant regularity estimates for subsolutions and supersolutions to the equation $- div (A \nabla u + b u) + c \nabla u + d u = - div f + g$ , assuming th…

math.AP2019

Minimizers for the thin one-phase free boundary problem

Max Engelstein, Aapo Kauranen, Martí Prats +2

We consider the "thin one-phase" free boundary problem, associated to minimizing a weighted Dirichlet energy of the function in $R_{+}^{n + 1}$ plus the area of the positivity…

math.AP2019

On scale invariant bounds for Green's function for second order elliptic equations with lower order coefficients and applications

Georgios Sakellaris

We construct Green's functions for elliptic operators of the form $L u = - div (A \nabla u + b u) + c \nabla u + d u$ in domains $Ω \subseteq R^{n}$ , under the assumption $d\…

math.AP2018

Boundary value problems in Lipschitz domains for equations with lower order coefficients

Georgios Sakellaris

We use the method of layer potentials to study the $R_{2}$ Regularity problem and the $D_{2}$ Dirichlet problem for second order elliptic equations of the form $L u = 0$ , with l…