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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Monatshefte fur Mathematik
Volume	191
Issue number	1
DOIs	https://doi.org/10.1007/s00605-019-01342-1
State	Published - 01 Jan 2020

Keywords

Convexity
Critical points
Dirichlet problem
Elliptic problems
Nodal lines
Symmetry

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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.",

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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

Abstract

Keywords

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