Nonlinear Elliptic Systems with Critical Growth. Potential and Hamiltonian Systems

Nonlinear Elliptic Systems with Critical Growth. Potential and Hamiltonian Systems

Daniele Cassani

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-3-8383-4241-2
Объём: 80 страниц
Масса: 141 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

The dissertation delas with existence and nonexistence results for a class of nonlinear elliptic systems which arise in looking for solitary waves in coupling the matter field with the electromagnetic field when the nonlinearity exhibits some critical behaviour; in particular this is the case of solitons which are in equilibrium with their own electromagnetic field. In the second part of the dissertation, the author develop a technique to characterize, in a variational framework, the ground state energy level of a large class of critical Hamiltonian elliptic systems.

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