Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591928 | Journal of Functional Analysis | 2010 | 28 Pages |
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