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Viewing report
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Nonlinear Elliptic Systems with Critical Growth. Edition No. 1
VDM Publishing House, June 2010, Pages: 80
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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