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David Jesus: Fully nonlinear elliptic problems degenerating on an interface with a transmission condition
University of Bologna
Location: Hill 525
Date & time: Thursday, 13 March 2025 at 2:00PM - 3:20PM
Abstract: 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.
