Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces

Francesca de Marchis

Bollettino dell'Unione Matematica Italiana (2011)

  • Volume: 4, Issue: 2, page 245-257
  • ISSN: 0392-4041

Abstract

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ρ belongs to ( 8 ⁢ π , 4 ⁢ π 2 ) we show under some extra assumptions that, as conjectured in [9], the functional admits at least three saddle points other than a local minimum.

How to cite

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de Marchis, Francesca. "Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces." Bollettino dell'Unione Matematica Italiana 4.2 (2011): 245-257. <http://eudml.org/doc/290721>.

@article{deMarchis2011,
abstract = {$\rho$ belongs to $(8\pi, 4\pi^\{2\})$ we show under some extra assumptions that, as conjectured in [9], the functional admits at least three saddle points other than a local minimum.},
author = {de Marchis, Francesca},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {245-257},
publisher = {Unione Matematica Italiana},
title = {Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces},
url = {http://eudml.org/doc/290721},
volume = {4},
year = {2011},
}

TY - JOUR
AU - de Marchis, Francesca
TI - Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2011/6//
PB - Unione Matematica Italiana
VL - 4
IS - 2
SP - 245
EP - 257
AB - $\rho$ belongs to $(8\pi, 4\pi^{2})$ we show under some extra assumptions that, as conjectured in [9], the functional admits at least three saddle points other than a local minimum.
LA - eng
UR - http://eudml.org/doc/290721
ER -

References

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