24/02/2025 at Aula Seminari, Building RM004
We study infinite concentration and oscillation phenomena on blow-up positive solutions of semilinear elliptic equations with supercritical exponential growth. We first detect infinite sequences of bubbles by a scaling technique. The precise description of each bubble is completed via a limit equation with suitable energy recurrence formulas. Thanks to this, we arrive at a key observation, the infinite sequences of bubbles cause infinite oscillations, around singular solutions, of blow-up solutions. This leads to a proof of infinite oscillations of bifurcation diagrams which yield the existence of infinitely many solutions.