Article ID Journal Published Year Pages File Type
4591928 Journal of Functional Analysis 2010 28 Pages PDF
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 (2003) [12]. Related results are derived for the prescribed Q-curvature equation.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory