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Seminario: “Boundary blow-up solutions to semilinear elliptic equations with Hardy potential”

Giovedì 21 Febbraio 2019, ore 12:00 - Aula 2AB4 - Vitaly Moroz

ARGOMENTI: Seminars

Giovedì 21 Febbraio 2019 alle ore 12:00 in Aula 2AB4, Vitaly Moroz (Swansea University, UK) terrà un seminario dal titolo “Boundary blow-up solutions to semilinear elliptic equations with Hardy potential”.

Abstract
Semilinear elliptic equations which give rise to solutions blowing up at the boundary are perturbed by a Hardy potential. The size of the potential affects the existence of a "large solutions": if Hardy parameter is small, then no large solution exists. The presence of the Hardy potential requires a new definition of large solutions, following the pattern of the associated linear problem. Nonexistence, existence and precise asymptotics for different types of solutions will be given.
This is based on joint works with Catherine Bandle, Moshe Marcus and Wolfgang Reichel.