arXiv Analytics

Sign in

arXiv:1208.2545 [math.AP]AbstractReferencesReviewsResources

Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb{R}^N$

Simone Secchi

Published 2012-08-13, updated 2013-01-28Version 2

We construct solutions to a class of Schr\"{o}dinger equations involving the fractional laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.

Related articles: Most relevant | Search more
arXiv:1009.4042 [math.AP] (Published 2010-09-21, updated 2015-03-23)
Uniqueness and Nondegeneracy of Ground States for $(-Δ)^s Q + Q - Q^{α+1} = 0$ in $\mathbb{R}$
arXiv:1302.2652 [math.AP] (Published 2013-02-11, updated 2015-03-23)
Uniqueness of radial solutions for the fractional Laplacian
arXiv:1004.2259 [math.AP] (Published 2010-04-13, updated 2011-10-27)
Multilinear embedding estimates for the fractional Laplacian