We prove generic multiplicity of solutions for a scalar field equation on compact surfaces via Morse inequalities. In particular our result improves significantly the multiplicity estimate which can be deduced from the degree-counting formula in Chen and Lin (doi:10.1002/cpa.10107). Related results are derived for the prescribed Q-curvature equation
Generic multiplicity for a scalar field equation on compact surfaces / DE MARCHIS, Francesca. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - STAMPA. - 259:8(2010), pp. 2165-2192. [10.1016/j.jfa.2010.07.003]
Generic multiplicity for a scalar field equation on compact surfaces
DE MARCHIS, FRANCESCA
2010
Abstract
We prove generic multiplicity of solutions for a scalar field equation on compact surfaces via Morse inequalities. In particular our result improves significantly the multiplicity estimate which can be deduced from the degree-counting formula in Chen and Lin (doi:10.1002/cpa.10107). Related results are derived for the prescribed Q-curvature equationFile allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.