On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains
Author
dc.contributor.author
Chipot, Michel
Author
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Dávila Bonczos, Juan
Author
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Pino Manresa, Manuel del
Admission date
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2019-05-29T13:10:36Z
Available date
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2019-05-29T13:10:36Z
Publication date
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2017
Cita de ítem
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Journal of Fixed Point Theory and Applications, 9 (2017) 205–213
Identifier
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16617746
Identifier
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16617738
Identifier
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10.1007/s11784-016-0349-1
Identifier
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https://repositorio.uchile.cl/handle/2250/168838
Abstract
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The goal of this note is to study the asymptotic behavior of positive solutions for a class of semilinear elliptic equations which can be realized as minimizers of their energy functionals. This class includes the Fisher-KPP and Allen–Cahn nonlinearities. We consider the asymptotic behavior in domains becoming infinite in some directions. We are in particular able to establish an exponential rate of convergence for this kind of problems.