We prove existence of variational solutions for the Hamiltonian coupling of nonlinear Schrödinger equations in the whole plane, when the nonlinearities exhibit supercritical growth with respect to the Trudinger–Moser inequality. We discover linking type solutions which have finite energy in a suitable Lorentz–Sobolev space setting
Existence of solitary waves for supercritical Schroedinger systems in dimension two
CASSANI, DANIELE;
2015-01-01
Abstract
We prove existence of variational solutions for the Hamiltonian coupling of nonlinear Schrödinger equations in the whole plane, when the nonlinearities exhibit supercritical growth with respect to the Trudinger–Moser inequality. We discover linking type solutions which have finite energy in a suitable Lorentz–Sobolev space setting
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