On the Dirichlet problem for second order elliptic systems in the ball

AM García, DA Santiesteban, RA Blaya - Journal of Differential Equations, 2023 - Elsevier
In this paper we study the Dirichlet problem in the ball for the so-called inframonogenic
functions, ie the solutions of the sandwich equation∂ x _ f∂ x _= 0, where∂ x _ stands for …

Lipschitz Norm Estimate for a Higher Order Singular Integral Operator

TR Gómez Santiesteban, R Abreu Blaya… - Advances in Applied …, 2024 - Springer
Let Γ be ad-summable surface in R m, ie, the boundary of a Jordan domain in R m, such
that∫ 0 1 N Γ (τ) τ d-1 d τ<+∞, where N Γ (τ) is the number of balls of radius τ needed to …