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A counterexample to the Liouville property of some nonlocal problems
Institution:1. EHESS, CAMS, 54 Boulevard Raspail, F-75006 Paris, France;2. BioSP, INRAE, 84914, Avignon, France;1. Dipartimento di Scienze e Tecnologie, Università degli Studi di Napoli “Parthenope”, Centro Direzionale Isola C4, 80100 Napoli, Italy;2. Dipartimento di Ingegneria Elettrica e delle Tecnologie dell''Informazione, Università degli Studi di Napoli “Federico II”, Via Claudio 21, 80125 Napoli, Italy;3. Department of Mathematics and Statistics, University of Reading, Reading RG6 6AX, United Kingdom;4. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy;1. Department of Engineering Design and Mathematics, University of the West of England, Bristol BS16 1QY, UK;2. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland;1. Université Bourgogne Franche-Comté, CNRS, IMB, F-21000 Dijon, France;2. Université de Lorraine, CNRS, IECL, F-54000 Nancy, France;1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland;2. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, CZ-115 67 Praha 1, Czech Republic;3. Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
Abstract:
Keywords:Nonlocal diffusion  Liouville property  Bistable nonlinearity  Counterexample  Positive stationary solution  Calculus of variations
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