Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 9, Issue 3, Pages 741-750Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2010.9.741
Keywords
Nonlinear Schrodinger systems; Nehari manifold; ground-state; solutions
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Funding
- MIUR
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We prove the existence of radially symmetric ground - states for the system of Nonlinear Schrodinger equations (-Delta u + u = f(u) + beta uv(2) in R-3, -Delta v + v = g(v) + beta u(2)v in R-3, under very weak assumptions on the two nonlinearities f and g. In particular, no Ambrosetti-Rabinowitz condition is required.
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