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On the mean field equation with variable intensities on pierced domains
| Indexado |
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| DOI | 10.1016/J.NA.2019.111597 | ||||
| Año | 2020 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
where B(xi(i), epsilon(i)) is a ball centered at xi(i) is an element of Omega with radius epsilon(i), tau is a positive parameter and V-1, V-2 > 0 are smooth potentials. When lambda(1) > 8 pi m(1) and lambda(2)tau(2) > 8 pi (m - m(1)) with m(1) is an element of {0, 1, ..., m}, there exist radii epsilon(1), ..., epsilon(m) small enough such that the problem has a solution which blows-up positively and negatively at the points xi(1), ..., xi(m) and xi(m1) + 1, ..., xi(m), respectively, as the radii approach zero. (C) 2019 Elsevier Ltd. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Esposito, Pierpaolo | Hombre |
Univ Roma Tre - Italia
Università degli Studi Roma Tre - Italia |
| 2 | FIGUEROA-SALGADO, PABLO | Hombre |
Universidad Católica Silva Henríquez - Chile
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| 3 | Pistoia, Angela | Mujer |
Univ Roma La Sapienza - Italia
Università degli Studi di Roma La Sapienza - Italia Sapienza Università di Roma - Italia |
| Fuente |
|---|
| FONDECYT Iniciación |
| Ministero dell’Istruzione, dell’Università e della Ricerca |
| Ministero dell’Istruzione, dell’Università e della Ricerca |
| Sapienza Università di Roma |
| GNAMPA, Italy as part of INdAM |
| MIUR, Italy Bando PRIN 2015 |
| Fondecyt Iniciacion, Chile |
| Italy Bando |
| Istituto Nazionale di Alta Matematica "Francesco Severi" |
| GNAMPA |
| Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni |
| Agradecimiento |
|---|
| Part of this work was carried out while the second author was visiting the SBAI Department, University of Roma "La Sapienza" and the Department of Mathematics and Physics, University of "Roma Tre". He would like to express his gratitude to Prof. Pistoia and Prof. Esposito for the stimulating discussions and the warm hospitality. The first and the third author have been supported by MIUR, Italy Bando PRIN 2015 2015KB9WPT and by GNAMPA, Italy as part of INdAM. The second author has been supported by grant Fondecyt Iniciacion, Chile 11130517. |
| Part of this work was carried out while the second author was visiting the SBAI Department, University of Roma “La Sapienza” and the Department of Mathematics and Physics, University of “Roma Tre”. He would like to express his gratitude to Prof. Pistoia and Prof. Esposito for the stimulating discussions and the warm hospitality. The first and the third author have been supported by MIUR, Italy Bando PRIN 2015 2015KB9WPT and by GNAMPA, Italy as part of INdAM. The second author has been supported by grant Fondecyt Iniciación, Chile11130517. |
