Existence and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional sphere

Speaker: Satoshi Tanaka

Tohoku University, Japan

Date: Tuesday, October 25, 2022 at 12 Santiago time

Abstract: In this talk, we consider the Dirichlet problem for the scalar-field equation in a large annulus in the three-dimensional sphere. We obtain the existence, uniqueness, and multiplicity results of the positive solutions depending only on the latitude. This is joint work with Noaki Shioji (Yokohama National University) and Kohtaro Watanabe (National Defense Academy).

Venue: Online via Zoom / Sala de seminarios John Von Neumann, 7th floor, Beauchef 851
Chair: Hanne Van Den Bosch


YouTube video (in English)