A nonlinear elliptic equation with singular potential and applications to nonlinear field equations | Zendy

Marino Badiale | Zendy; Vieri Benci | Zendy; Sergio Rolando | Zendy

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A nonlinear elliptic equation with singular potential and applications to nonlinear field equations

Author(s) -

Marino Badiale,

Vieri Benci,

Sergio Rolando

Publication year - 2007

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.4171/jems/83

Subject(s) - mathematics , nonlinear system , mathematical analysis , elliptic curve , quarter period , field (mathematics) , jacobi elliptic functions , pure mathematics , physics , quantum mechanics

We prove the existence of cylindrical solutions to the semi-linear ellip- tic problem −4u+ k≥ 2 and f has a double-power behaviour, sub-critical at infinity and,super-critical near the origin. This result also implies the existence,of solitary waves,with,nonva- nishing angular momentum,for nonlinear Schrödinger and Klein-Gordon equations. 1I ntroduction

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