Qualitative properties of positive solutions for mixed integro-differential equations
Author
dc.contributor.author
Felmer Aichele, Patricio
Author
dc.contributor.author
Wang, Ying
Admission date
dc.date.accessioned
2019-05-31T15:33:57Z
Available date
dc.date.available
2019-05-31T15:33:57Z
Publication date
dc.date.issued
2019
Cita de ítem
dc.identifier.citation
Discrete and Continuous Dynamical Systems- Series A, Volumen 39, Issue 1, 2019, Pages 369-393.
Identifier
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15535231
Identifier
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10780947
Identifier
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10.3934/dcds.2019015
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/169685
Abstract
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This paper is concerned with the qualitative properties of the solutions of mixed integro-differential equation (equation presented) with N ≥ 1, M ≥ 1 and ϵ 2 (0; 1). We study decay and symmetry properties of the solutions to this equation. Difficulties arise due to the mixed character of the integro-differential operators. Here, a crucial role is played by a version of the Hopf's Lemma we prove in our setting. In studying the decay, we construct appropriate super and sub solutions and we use the moving planes method to prove the symmetry properties.