Homotopical linking and Morse index estimates in min-max theorems |
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| Authors: | Miguel Ramos Luís Sanchez |
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| Affiliation: | 1. Centro de Matemática e Aplica??es Fundamentais, Universidade de Lisboa, Avenida Professor Gama Pinto, 2, 1699, Lisboa Codex, Portugal
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| Abstract: | The authors extend some well-known Morse estimates for critical points of saddle point type to some linking conditions recently considered in the literature. Applications are given for multiplicity results in PDE and existence of subharmonic solutions for a class of conservative ODE. Research supported by Program STRIDE (contract STRDA/C/CEN/531/92) and EC (contract ERBCHRXCT940555). |
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| Keywords: | Morse index homotopical linking multiple solutions subharmonic solutions |
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