Critical points and geometric properties of Green's functions on open surfaces
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| 024 | 7 | 0 | |a 10.1007/s10231-014-0402-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0402-x | ||
| 245 | 0 | 0 | |a Critical points and geometric properties of Green's functions on open surfaces |h [Elektronische Daten] |c [Alberto Enciso, Daniel Peralta-Salas] |
| 520 | 3 | |a In this paper, we consider the Green's functions of the Laplacian on an open surface $$M$$ M . Specifically, we analyze the integral curves of the gradient of the Green's function with a fixed pole as a tool to study the connections between the Green's function and the geometry of $$M$$ M . Indeed, through the analysis of the integral curves, we find a natural decomposition of the surface as the union of a disk and a $$1$$ 1 -skeleton that encodes the topology of $$M$$ M and leads to a topological upper bound for the number of critical points of the Green's function. Connections with the conformal structure of the surface are also discussed. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Green's function |2 nationallicence | |
| 690 | 7 | |a Critical points |2 nationallicence | |
| 690 | 7 | |a Geometric properties |2 nationallicence | |
| 690 | 7 | |a Elliptic PDE |2 nationallicence | |
| 700 | 1 | |a Enciso |D Alberto |u Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, 28049, Madrid, Spain |4 aut | |
| 700 | 1 | |a Peralta-Salas |D Daniel |u Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, 28049, Madrid, Spain |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 881-901 |x 0373-3114 |q 194:3<881 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0402-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0402-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Enciso |D Alberto |u Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, 28049, Madrid, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Peralta-Salas |D Daniel |u Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, 28049, Madrid, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 881-901 |x 0373-3114 |q 194:3<881 |1 2015 |2 194 |o 10231 | ||