On fractional Schroedinger equations in $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition
DOI:
https://doi.org/10.12775/TMNA.2015.090Keywords
Fractional laplacian, Pohozaev identityAbstract
In this note we prove the existence of radially symmetric solutions for a class of fractional Schrodinger equation in R^N of the form (-\Delat)^s u + V (x) u = g(u); 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.References
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