A Eden and S Erbay 2006 J. Phys. A: Math. Gen. 39 13435 doi:10.1088/0305-4470/39/43/003
A Eden1,2 and S Erbay3
Show affiliationsIn this paper, we establish the existence of non-trivial solutions for a semi-linear elliptic partial differential equation with a non-local term. This result allows us to prove the existence of standing wave (ground state) solutions for a generalized Davey–Stewartson system. A sharp upper bound is also obtained on the size of the initial values for which solutions exist globally.
35J20 Variational methods for second-order, elliptic equations
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
Issue 43 (27 October 2006)
Received 25 April 2006, in final form 26 April 2006
Published 11 October 2006
A Eden and S Erbay 2006 J. Phys. A: Math. Gen. 39 13435
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