Non-existence and symmetry of solutions to the scalar curvature equation
Journal Article
·
· Communications in Partial Differential Equations
- Universita` di Ferrara, Ferrara (Italy)
The problem of understanding whether any entire positive solution of {del}u + f({vert_bar}x{vert_bar}, u) = 0, which decays to 0 at infinity, is radial has received much attention. B. Gidas, W.M. Ni and L. Nirenberg proved that when K is radial and strictly decreasing and p > {sup n+1}/{sub n-2} then all C{sup 2} positive solutions of {del}u + K(x)u{sup P} = O in R{sup n} which decay at infinity like {vert_bar}x{vert_bar}P{sup 2-n} are radial.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 255090
- Journal Information:
- Communications in Partial Differential Equations, Journal Name: Communications in Partial Differential Equations Journal Issue: 1-2 Vol. 21; ISSN 0360-5302; ISSN CPDIDZ
- Country of Publication:
- United States
- Language:
- English
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