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Analisi Matematica

Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces

Pablo Figueroa


13-09-2017 - 15:00
Largo San Leonardo Murialdo,1 - Pal.C - aula 311

 

 We study an elliptic equation related to the Moser-Trudinger inequality on a compact
Riemann surface (S,g). Given any integer k, under general conditions on S we find a bubbling solution which blows up at exactly k points in S. When S is a flat two-torus in rectangular form, we find that either seven or nine families of such solutions do exist for k=2. In particular, in any square flat two-torus actually nine families of bubbling solutions with two bubbling points do exist. If S is a Riemann surface with non-constant Robin's function then at least two bubbling solutions with k=1 exist.

 
org: ESPOSITO Pierpaolo

 

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