Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type

Edward N Dancer; S Yan

doi:10.1007/s00208-006-0754-7

Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type

Edward N Dancer
, S Yan

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has solutions with arbitrary many sharp peaks near the boundary but not on the boundary.

Original language	English
Pages (from-to)	527-569
Journal	Mathematische Annalen
Volume	335
Issue number	3
DOIs	https://doi.org/10.1007/s00208-006-0754-7
Publication status	Published - 2006

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Mathematical Sciences

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10.1007/s00208-006-0754-7

https://hdl.handle.net/1959.11/306

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title = "Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type",

abstract = "We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has solutions with arbitrary many sharp peaks near the boundary but not on the boundary.",

keywords = "Mathematical Sciences",

author = "Dancer, \{Edward N\} and S Yan",

year = "2006",

doi = "10.1007/s00208-006-0754-7",

language = "English",

volume = "335",

pages = "527--569",

journal = "Mathematische Annalen",

issn = "0025-5831",

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T1 - Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type

AU - Dancer, Edward N

AU - Yan, S

PY - 2006

Y1 - 2006

N2 - We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has solutions with arbitrary many sharp peaks near the boundary but not on the boundary.

AB - We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has solutions with arbitrary many sharp peaks near the boundary but not on the boundary.

KW - Mathematical Sciences

U2 - 10.1007/s00208-006-0754-7

DO - 10.1007/s00208-006-0754-7

M3 - Article

SN - 0025-5831

VL - 335

SP - 527

EP - 569

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3

ER -

Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type

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