Differential and Integral Equations

Monotonicity of radially symmetric supersolutions for polyharmonic-type operators

Yuxin Ge and Dong Ye

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Abstract

In this work, we prove some "precise properties" for radially symmetric supersolutions for polyharmonic operators with zero Dirichlet boundary conditions. As a consequence, we prove that they are strictly monotone functions of the radius.

Article information

Source
Differential Integral Equations, Volume 15, Number 3 (2002), 357-366.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060865

Mathematical Reviews number (MathSciNet)
MR1870647

Zentralblatt MATH identifier
1161.35368

Subjects
Primary: 35J40: Boundary value problems for higher-order elliptic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35B50: Maximum principles

Citation

Ge, Yuxin; Ye, Dong. Monotonicity of radially symmetric supersolutions for polyharmonic-type operators. Differential Integral Equations 15 (2002), no. 3, 357--366. https://projecteuclid.org/euclid.die/1356060865


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