arXiv Analytics

Sign in

arXiv:math/0609407 [math.AP]AbstractReferencesReviewsResources

On a "zero mass" nonlinear Schrodinger equation

Antonio Azzollini, Alessio Pomponio

Published 2006-09-14, updated 2007-03-26Version 2

We look for positive solutions to the nonlinear Schrodinger equation with a potential, under the hypothesis of zero mass on the nonlinearity, in a particular situation. Existence and multiplicity results are provided.

Comments: 32 pages. We corrected a gap in the proof of Theorem 3.9
Categories: math.AP
Subjects: 35Q55, 35J60
Related articles: Most relevant | Search more
arXiv:1312.3688 [math.AP] (Published 2013-12-13)
Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation
arXiv:0909.3141 [math.AP] (Published 2009-09-17, updated 2010-04-10)
Solutions of the Nonlinear Schrodinger Equation with Prescribed Asymptotics at Infinity
arXiv:0910.2260 [math.AP] (Published 2009-10-12, updated 2011-10-14)
Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition

Links

Toolbox