The critical hyperbola for a Hamiltonian elliptic system with weights
نویسندگان
چکیده
In this paper we look for existence results for nontrivial solutions to the system, ⎧ ⎪⎪⎨ ⎪⎪⎩ − u = v p |x |α in , − v = u q |x |β in , with Dirichlet boundary conditions, u = v = 0 on ∂ and α, β < N . We find the existence of a critical hyperbola in the (p, q) plane (depending on α, β and N ) below which there exists nontrivial solutions. For the proof we use a variational argument (a linking theorem).
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تاریخ انتشار 2008