Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
Weyl's law yields an estimate of the asymptotic behavior of variational eigenvalues of a differential operator. First proved by Weyl (1912) for the Laplacian, it was extended by Garcia Azorero-Peral Alonso (1988) and Friedlander (1989) to the p-Laplacian. We define a sequence of variational min-max eigenvalues for the fractional p-Laplacian and prove a two-side asymptotic estimate for it. The method relies on the cohomological index and Krasnoselskii genus.