Multiplicity of critical points for the fractional Allen-Cahn energy
In this article we study the fractional analogue of the Allen-Cahn energy in bounded domains. We show that it admits a number of critical points which approaches infinity as the perturbation parameter tends to zero.
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| Format: | Article |
| Language: | English |
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Texas State University
2016-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/119/abstr.html |
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doaj-d6b5079cac7147cba74201016cfb8e9c2020-11-24T23:32:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-05-012016119,112Multiplicity of critical points for the fractional Allen-Cahn energyDayana Pagliardini0 Scuola Normale Superiore, Pisa, Italy In this article we study the fractional analogue of the Allen-Cahn energy in bounded domains. We show that it admits a number of critical points which approaches infinity as the perturbation parameter tends to zero.http://ejde.math.txstate.edu/Volumes/2016/119/abstr.htmlAllen-Cahn energyfractional PDEcritical pointgenus |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dayana Pagliardini |
| spellingShingle |
Dayana Pagliardini Multiplicity of critical points for the fractional Allen-Cahn energy Electronic Journal of Differential Equations Allen-Cahn energy fractional PDE critical point genus |
| author_facet |
Dayana Pagliardini |
| author_sort |
Dayana Pagliardini |
| title |
Multiplicity of critical points for the fractional Allen-Cahn energy |
| title_short |
Multiplicity of critical points for the fractional Allen-Cahn energy |
| title_full |
Multiplicity of critical points for the fractional Allen-Cahn energy |
| title_fullStr |
Multiplicity of critical points for the fractional Allen-Cahn energy |
| title_full_unstemmed |
Multiplicity of critical points for the fractional Allen-Cahn energy |
| title_sort |
multiplicity of critical points for the fractional allen-cahn energy |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2016-05-01 |
| description |
In this article we study the fractional analogue of the Allen-Cahn energy
in bounded domains. We show that it admits a number of critical points
which approaches infinity as the perturbation parameter tends to zero. |
| topic |
Allen-Cahn energy fractional PDE critical point genus |
| url |
http://ejde.math.txstate.edu/Volumes/2016/119/abstr.html |
| work_keys_str_mv |
AT dayanapagliardini multiplicityofcriticalpointsforthefractionalallencahnenergy |
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1725532491362598912 |