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

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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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10.1007/s00605-019-01342-1

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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.",

keywords = "Convexity, Critical points, Dirichlet problem, Elliptic problems, Nodal lines, Symmetry",

author = "J. Arango and J. Jim{\'e}nez and A. Salazar",

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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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