Eigenvalue problems in Riemannian geometry lie at the intersection of analysis, topology and global geometry. At their core is the study of spectral data—eigenvalues and eigenfunctions—associated with ...

Nonlinear eigenvalue problems arise when one seeks pairs (λ,u) satisfying an equation of the form F(λ,u)=0 in a function space, subject to boundary or decay conditions. In contrast to linear spectral ...