Special Session 123: Nonlinear phenomena in elliptic and parabolic equations

Polyharmonic Steklov eigenvalue problems
Michiaki Onodera
Institute of Science Tokyo
Japan
Co-Author(s):    
Abstract:
This talk concerns the spectral properties of polyharmonic Steklov eigenvalue problems on bounded domains. In particular, we will discuss the positivity of the first eigenfunction, which is nontrivial for higher-order elliptic problems due to the lack of a general maximum principle. This talk is based on joint work with Masato Hashizume and Nobuhito Miyake.