Generic multiplicity for a scalar field equation on compact surfaces |
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| Authors: | Francesca De Marchis |
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| Institution: | SISSA, via Beirut 2-4, 34151 Trieste, Italy |
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| 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. |
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| Keywords: | Scalar field equations Geometric PDE's Generic multiplicity Morse inequalities |
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