Journal
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume 142, Issue 6, Pages 1237-1262Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0308210511000746
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Funding
- Fondecyt Grant [1070314, 1070264, 11085063]
- FONDAP and BASAL-CMM projects
- CAPDE, Anillo [ACT-125]
- Programa Basal, CMM Universidad de Chile
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We study the existence of positive solutions for the nonlinear Schrodinger equation with the fractional Laplacian (-Delta)(alpha)u + u = f(x, u) R-N, u > 0 in R-N, lim (vertical bar x vertical bar ->infinity) u(x) = 0. Furthermore, we analyse the regularity, decay and symmetry properties of these solutions.
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