A NOTE ON COUPLED NONLINEAR SCHRODINGER SYSTEMS UNDER THE EFFECT OF GENERAL NONLINEARITIES

作者：Pomponio Alessio^*; Secchi Simone

来源：Communications on Pure and Applied Analysis, 2010, 9(3): 741-750.

DOI：10.3934/cpaa.2010.9.741

• Nonlinear Schrodinger systems
• Nehari manifold
• ground-state
• solutions

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.

• 出版日期2010-5