Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839528 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 23 Pages |
Abstract
We study the existence and the regularity of non trivial TT-periodic solutions to the following nonlinear pseudo-relativistic Schrödinger equation equation(0.1)(−Δx+m2−m)u(x)=f(x,u(x)) in (0,T)N where T>0T>0, mm is a non negative real number, ff is a regular function satisfying the Ambrosetti–Rabinowitz condition and a polynomial growth at rate pp for some 1
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Authors
Vincenzo Ambrosio,