Critical points and level sets of Grushin-harmonic functions in the plane

DOI10.1007/s11854-021-0151-xzbMath1473.35278OpenAlexW3161351342MaRDI QIDQ2046139

Publication date: 17 August 2021

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-021-0151-x

zbMATH Keywords

critical points Grushin-harmonic functions

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (1)

Strong unique continuation property for fourth order Baouendi-Grushin type subelliptic operators with strongly singular potential

Cites Work

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Fundamental solution of a higher step Grushin type operator
Convexity of level sets of minimal graph on space form with nonnegative curvature
Balls and metrics defined by vector fields. I: Basic properties
Eigenfunctions and nodal sets
Gevrey hypoellipticity for Grushin operators
Nonlinear Liouville theorems for Grushin and Tricomi operators.
Critical sets of solutions to elliptic equations.
Rank zero and rank one sets of harmonic maps
The homogeneous polynomial solutions for the Grushin operator
Critical points of solutions to a quasilinear elliptic equation with nonhomogeneous Dirichlet boundary conditions
Viscosity solutions on Grushin-type planes
Kelvin transform for Grushin operators and critical semilinear equations
Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
Nodal sets and horizontal singular sets of ℍ-harmonic functions on the Heisenberg group
An introduction to the study of critical points of solutions of elliptic and parabolic equations
Nodal sets of solutions of elliptic and parabolic equations
p-Harmonic Functions in the Plane
Local behavior and geometric properties of solutions to degenerate quasilinear elliptic equation in the plane
Elliptic Equations in Divergence Form, Geometric Critical Points of Solutions, and Stekloff Eigenfunctions
Volume Estimates on the Critical Sets of Solutions to Elliptic PDEs
Critical Sets of Elliptic Equations
ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
ON A CLASS OF HYPOELLIPTIC OPERATORS
On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
Critical points of solutions of degenerate elliptic equations in the plane

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