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2006 J. Phys. A: Math. Gen. 39 13435-13444 doi: 10.1088/0305-4470/39/43/003
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Abstract. In 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.
PACS number: 02.30.Jr
Mathematics Subject Classification: 35J20, 35Q55
Print publication: Issue 43 (27 October 2006) |
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