A. Ambrosettia1 and D. Ruiza2
a1 SISSA, 2–4 via Beirut, Trieste 34014, Italy (email@example.com)
a2 SISSA, 2–4 via Beirut, 34014 Trieste, Italy and Departamento de Análisis Matemático Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain* (firstname.lastname@example.org)
We prove the existence of radial solutions of
concentrating on a sphere for potentials which might be zero and might decay to zero at infinity. The proofs use a perturbation technique in a variational setting, through a Lyapunov–Schmidt reduction.
(Received June 01 2005)
(Accepted October 05 2005)