| Title | Generic multiplicity for a scalar field equation on compact surfaces |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | De Marchis, F |
| Journal | Journal of Functional Analysis |
| Volume | 259 |
| Pagination | 2165 - 2192 |
| ISSN | 0022-1236 |
| Keywords | Generic multiplicity; Geometric PDE's; Morse inequalities; Scalar field equations |
| 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. |
| URL | http://www.sciencedirect.com/science/article/pii/S0022123610002697 |
| DOI | 10.1016/j.jfa.2010.07.003 |
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