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On resonant elliptic systems with rapidly rotating nonlinearities
(Khayyam Publishing, 2012)
We study a Neumann problem for a nonlinear elliptic system. Unlike previous results in the literature of Landesman–Lazer type, our existence theorem allows rapid rotations on the nonlinear term.
Topological methods for a nonlinear elliptic system with nonlinear boundary conditions
(Inderscience Publishers, 2009-09)
A nonlinear elliptic second order system with a nonlinear boundary condition is studied. We prove an existence result under a Hartman type condition. Moreover, assuming appropriate conditions of Nirenberg type, we prove ...
On the Fucik spectrum for elliptic systems
(Juliusz Schauder Center Nonlinear StudiesTorunPolónia, 2006)
Semilinear elliptic systems with exponential nonlinearities in two dimensions
(Advanced Nonlinear Studies, IncSan AntonioEUA, 2006)
Existence results for gradient elliptic systems with nonlinear boundary conditions
(Birkhauser Verlag Ag, 2007-10)
We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). ...
Nonlinear elliptic systems
(Acad Brasileira De CienciasRio JaneiroBrasil, 2000)