Critical points of symmetric solutions to planar quasilinear elliptic problems

J. Arango; J. Jiménez; A. Salazar

doi:10.1007/s00605-019-01342-1

Critical points of symmetric solutions to planar quasilinear elliptic problems

J. Arango
, J. Jiménez
, A. Salazar

Universidad del Valle

Producción: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

The aim of this study is to investigate the set of critical points of solutions to quasilinear elliptic boundary value problems with Dirichlet null condition on the border of a region convex in one direction, satisfying a symmetry condition. The numberof critical points is estimated by counting the number of connected components of the border having a prescribed unitary tangent vector.

Idioma original	Inglés
Páginas (desde-hasta)	1-11
Número de páginas	11
Publicación	Monatshefte fur Mathematik
Volumen	191
N.º	1
DOI	https://doi.org/10.1007/s00605-019-01342-1
Estado	Publicada - 01 ene 2020

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title = "Critical points of symmetric solutions to planar quasilinear elliptic problems",

abstract = "The aim of this study is to investigate the set of critical points of solutions to quasilinear elliptic boundary value problems with Dirichlet null condition on the border of a region convex in one direction, satisfying a symmetry condition. The numberof critical points is estimated by counting the number of connected components of the border having a prescribed unitary tangent vector.",

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AU - Jiménez, J.

AU - Salazar, A.

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KW - Convexity

KW - Critical points

KW - Dirichlet problem

KW - Elliptic problems

KW - Nodal lines

KW - Symmetry

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Critical points of symmetric solutions to planar quasilinear elliptic problems

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