Existence results for non-local operators of elliptic type |
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| Affiliation: | 1. Department of Epidemiology, School of Public Health, University of Michigan, Ann Arbor, MI, United States;2. Center for Statistical Consultation and Research, University of Michigan, Ann Arbor, MI, United States;3. Institute for Social Research, University of Michigan, Ann Arbor, MI, United States;4. Division of Infectious Diseases, Department of Internal Medicine, School of Medicine, University of Michigan, Ann Arbor, MI, United States;1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China;2. School of Science, Linyi University, Linyi 276000, Shandong, People’s Republic of China;3. Department of Mathematics and Informational Science, Yantai University, Yantai 264005, Shandong, People’s Republic of China;4. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia;1. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, United Kingdom;2. Institute of Mathematics of the Polish Academy of Sciences, Śniadeckich 8, 00-656 Warsaw, Poland;3. Weizmann Institute of Science, 234 Herzl Street, 7610001, Rehovot, Israel;4. School of Mathematics, University of Southampton, Highfield, SO17 1BJ, United Kingdom;1. School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, Shandong, China;2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China;3. Faculty of Science, Mahidol University, Bangkok 10400, Thailand;4. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia |
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| Abstract: | In this paper, we investigate the existence of solutions for equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions. We make use of homological linking and Morse theory. |
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