A new morse index theory for strongly indefinite functionals |
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Institution: | 1. State Key Laboratory of Urban and Regional Ecology, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. Department of Earth Sciences, Goteborg University, Goteborg 40530, Sweden;4. International Center for Climate and Global Change Research, School of Forestry and Wildlife Sciences, Auburn University, Auburn, AL 36849, USA;5. Department of Environmental and Conservation Sciences, University of Swat, Swat 19130, Pakistan;1. Department of Biotechnology, University of Chemistry and Technology Prague, Technicka 5, 16628 Prague, Czech Republic;2. Institute for Molecular Biotechnology, Graz University of Technology, NAWI Graz, Petersgasse 14, 8010 Graz, Austria;3. Institute of Chemistry and Biotechnology, Zurich University of Applied Sciences, Grüentalstrasse 14, 8820 Wädenswil, Switzerland;4. Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel;3. College of Life Sciences, Hunan Normal University, Changsha 410081, Hunan, PR China |
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Abstract: | In this paper, a new Morse index theory for strongly indefinite functionals was developed via Gălerkin approximation. In particular, the abstract theory is valid for those kinds of strongly indefinite functionals corresponding to wave equation and beam equation. |
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