PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL

PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL

We consider the singular logarithmic potential <img border=0 width=119 height=19 id="_x0000_i1028" src="../img/periodic.JPG">, a potential which plays an important role in the modelling of triaxial systems, such as elliptical galaxies or bars in the centres of galaxy discs....

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Autor principal: VIDAL,CLAUDIO
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2007
Materias:
Orlicz-Sobolev spaces
strongly nonlinear problems
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200003
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spelling oai:scielo:S0716-091720070002000032007-11-16PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIALVIDAL,CLAUDIO Orlicz-Sobolev spaces strongly nonlinear problems We consider the singular logarithmic potential <img border=0 width=119 height=19 id="_x0000_i1028" src="../img/periodic.JPG">, a potential which plays an important role in the modelling of triaxial systems, such as elliptical galaxies or bars in the centres of galaxy discs. Using properties of the central field in the axis-symmetric case we obtain periodic solutions which are symmetric with respect to the origin for weak anisotropies. Also we generalize our result in order to include more general perturbations of the logarithmic potential.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.2 20072007-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200003en10.4067/S0716-09172007000200003
institution Scielo Chile
collection Scielo Chile
language English
topic Orlicz-Sobolev spaces
strongly nonlinear problems
spellingShingle Orlicz-Sobolev spaces
strongly nonlinear problems
VIDAL,CLAUDIO
PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
description We consider the singular logarithmic potential <img border=0 width=119 height=19 id="_x0000_i1028" src="../img/periodic.JPG">, a potential which plays an important role in the modelling of triaxial systems, such as elliptical galaxies or bars in the centres of galaxy discs. Using properties of the central field in the axis-symmetric case we obtain periodic solutions which are symmetric with respect to the origin for weak anisotropies. Also we generalize our result in order to include more general perturbations of the logarithmic potential.
author VIDAL,CLAUDIO
author_facet VIDAL,CLAUDIO
author_sort VIDAL,CLAUDIO
title PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
title_short PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
title_full PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
title_fullStr PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
title_full_unstemmed PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
title_sort periodic solutions in the singular logarithmic potential
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2007
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200003
work_keys_str_mv AT vidalclaudio periodicsolutionsinthesingularlogarithmicpotential
_version_ 1718439752485568512

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