Massimo Lanza de Cristoforis

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20232025

most citedA survey on the boundary behavior of the double layer potential in Schauder spaces in the frame of an abstract approach

1 citations · 1 across the 6 of their papers we have counts for

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math.AP2025

A uniqueness theorem for nonvariational solutions of the Helmholtz equation

M. Lanza de Cristoforis

We consider a bounded open subset $Ω$ of $R^{n}$ of class $C^{1, α}$ for some $α \in] 0, 1 [$ , and we define a distributional outward unit normal derivative for $α$ -Hölder cont…

math.AP2025

A nonvariational Neumann problem for the Helmholtz equation

M. Lanza de Cristoforis

We consider a bounded open subset $Ω$ of $R^{n}$ of class $C^{1, α}$ for some $α \in] 0, 1 [$ and we solve the Neumann problem for the Helmholtz equation both in $Ω$ and in the…

math.AP2024

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…

math.AP2023★ 1 cited

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…