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Tuesday, March 7, 2023 - 14:45 in H2


Strongly nonlinear Robin problems for harmonic functions in the half-space

A talk in the Nonlocal Equations: Analysis and Numerics 2023 series by
Lenka Slavíková from Prague

Abstract: In this talk, we will discuss the existence and global regularity of harmonic functions, in $n$-dimensional half-spaces, subject to general nonlinear Robin type boundary conditions. Our main focus will be on nonlinearities of exponential type, which arise naturally in connection with problems in conformal geometry and electrochemistry; our approach will however be general enough to cover a wide range of different nonlinearities. Function spaces defined in terms of Orlicz norms will play an essential role in our discussion. This is a joint work with Andrea Cianchi and Gael Diebou Yomgne.

Within the CRC this talk is associated to the project(s): A7



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