1 citations · 1 across the 6 of their papers we have counts for
6 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…
A nonvariational Neumann problem for the Helmholtz equation
M. Lanza de Cristoforis
We consider a bounded open subset of of class for some and we solve the Neumann problem for the Helmholtz equation both in and in 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…
Introduction to Morrey spaces
Massimo Lanza de Cristoforis
The present informal set of notes covers the material that has been presented by the author in a series of lectures for the Doctoral School in Mathematics of the Southern Federal S…
A survey on the boundary behavior of the double layer potential in Schauder spaces in the frame of an abstract approach
M. Lanza de Cristoforis
We provide a summary of the continuity properties of the boundary integral operator corresponding to the double layer potential associated to the fundamental solution of a {\em non…
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…