Seminario del 2025

Febbraio
06
2025
David Jesus, Università di Bologna
Fully nonlinear elliptic problems degenerating on an interface with a transmission condition
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
analisi matematica
Transmission problems describe physical phenomena where the behavior of a system changes across a fixed interface, resulting in different PDEs on each side. These PDEs are coupled through a transmission condition, typically of the Neumann type. In this talk, we will discuss some recent results concerning transmission problems governed by fully nonlinear operators which degenerate near the transmission interface. We obtain Holder differentiability of solutions up to the interface, with optimal exponent, which depends pointwise on the rate of degeneracy. Research activity supported by PRIN 2022 7HX33Z - CUP J53D23003610006, Pattern formation in nonlinear phenomena
organizzato da: Fausto Ferrari, per conto del Seminario di Analisi Matematica Bruno Pini. Research activity supported by PRIN 2022 7HX33Z - CUP J53D23003610006, Pattern formation in nonlinear phenomena

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