Differential and Integral Equations

Singular ground states for the scalar curvature equation in $\mathbbR^N$

Flaviano Battelli and Russell Johnson

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Abstract

We use dynamical-systems techniques to study the positive solutions of the scalar curvature equation in $R^n$, $n \geq 3$. In certain cases we prove the existence of a Cantor-like set of singular ground states with slow decay.

Article information

Source
Differential Integral Equations, Volume 14, Number 2 (2001), 141-158.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123349

Mathematical Reviews number (MathSciNet)
MR1797383

Zentralblatt MATH identifier
1161.35379

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35B33: Critical exponents 35C99: None of the above, but in this section

Citation

Battelli, Flaviano; Johnson, Russell. Singular ground states for the scalar curvature equation in $\mathbbR^N$. Differential Integral Equations 14 (2001), no. 2, 141--158. https://projecteuclid.org/euclid.die/1356123349


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