On the stability of radial solutions of semilinear elliptic equations in all of R n

By Xavier Cabré Vilagut, A. Kort. 2003

47 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/db2834bfd9778e1803e62073ace44b2034bd04dd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Alberto Farina
2. D. Ye
3. Chao Wang
4. Berardino Sciunzi
5. Jun-cheng Wei

In Control and Systems Engineering

1. Alberto Farina

Citations in the corpus

• Liouville-type results for solutions of −Δu=|u|p−1u on unbounded domains of RN (2005, background): “Moreover only two cases occur : , u is stable and of the form : In this regard we mention the recent paper [4], where the authors establish that any smooth bounded stable radial entire solution of − (cid:1)u = f (u) is constant if N (cid:2) 10 and f is a C 1 function satisfying a generic…”