30 citations · 31 across the 8 of their papers we have counts for
8 papers
A uniqueness theorem for nonvariational solutions of the Helmholtz equation
M. Lanza de Cristoforis
We consider a bounded open subset of of class for some , and we define a distributional outward unit normal derivative for -Hölder cont…
Regularity properties of certain convolution operators in Hölder spaces
Matteo Dalla Riva, Massimo Lanza de Cristoforis, Paolo Musolino
The aim of this paper is to prove a theorem of C.~Miranda on the Hölder regularity of convolution operators acting on the boundary of an open set in the limiting case in which the…
A nonvariational form of the Neumann problem for the Poisson equation
M. Lanza de Cristoforis
We present a nonvariational setting for the Neumann problem for the Poisson equation for solutions that are Hölder continuous and that may have infinite Dirichlet integral. We intr…
Classes of kernels and continuity properties of the double layer potential in Hölder spaces
M. Lanza de Cristoforis
We prove the validity of regularizing properties of the boundary integral operator corresponding to the double layer potential associated to the fundamental solution of a {\em nonh…
On the tangential gradient of the kernel of the double layer potential
M. Lanza de Cristoforis
In this paper we consider an elliptic operator with constant coefficients and we estimate the maximal function of the tangential gradient of the kernel of the double layer potentia…
A necessary condition on a singular kernel for the continuity of an integral operator in Hölder spaces
Massimo Lanza de Cristoforis
We prove that a condition of boundedness of the maximal function of a singular integral operator, that is known to be sufficient for the continuity of the corresponding integral op…
Continuity of the double layer potential of a second order elliptic differential operator in Schauder spaces on the boundary
Massimo Lanza de Cristoforis
We prove the validity of a regularizing property on the boundary of the double layer potential associated to the fundamental solution of a {\em nonhomogeneous} second order ellipti…
Integral potential method for a transmission problem with Lipschitz interface in for the Stokes and Darcy-Forchheimer-Brinkman PDE systems
M. Kohr, M. Lanza de Cristoforis, S. E. Mikhailov +1
The purpose of this paper is to obtain existence and uniqueness results in weighted Sobolev spaces for transmission problems for the non-linear Darcy-Forchheimer-Brinkman system an…