All Title Author
Keywords Abstract

Mathematics  2012 

On fractional Schr?dinger equations in (\mathbb{R}^N) without the Ambrosetti-Rabinowitz condition

Full-Text   Cite this paper   Add to My Lib


In this note we prove the existence of radially symmetric solutions for a class of fractional Schr\"odinger equation in (\mathbb{R}^N) of the form {equation*} \slap u + V(x) u = g(u), {equation*} where the nonlinearity $g$ does not satisfy the usual Ambrosetti-Rabinowitz condition. Our approach is variational in nature, and leans on a Pohozaev identity for the fractional laplacian.


comments powered by Disqus

Contact Us


微信:OALib Journal