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math.AP2026
On the Robin problem for the Laplace equation in multiply connected domains
Alberto Cialdea, Vita Leonessa
This paper complements the existing theory developed in [5] for the Dirichlet and Neumann problems for the Laplace equation, in multiply connected domains. Within the framework of…
math.AP2026
Completeness theorems on the boundary for a parabolic equation
Alberto Cialdea, Carmine Sebastiano Mare
Let be a system of polynomial solutions of the parabolic equation in a bounded -cylinder contained in $\ma…
math.AP2024
New completeness theorems on the boundary in Elasticity
Alberto Cialdea
The completeness on the boundary (in the sense of Picone) of certain systems related to the III and IV BVPs for the elasticity system is proved. The completeness is obtained in bot…