Multiplicity Results for Asymptotically Linear Equations, Using the Rotation Number Approach |
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| Authors: | Francesca Dalbono Fabio Zanolin |
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| Affiliation: | (1) Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy;(2) CMAF, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal;(3) Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze 206, 33100 Udine, Italy |
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| Abstract: | ![]()
By using a topological approach and the relation between rotation numbers and weighted eigenvalues, we give some multiplicity results for the boundary value problem u′′ + f(t, u) = 0, u(0) = u(T) = 0, under suitable assumptions on f(t, x)/x at zero and infinity. Solutions are characterized by their nodal properties. Supported by MIUR, GNAMPA and FCT. |
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| Keywords: | Primary 34B15 Secondary 37E40 |
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