Abstract:
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). The proofs are done under suitable assumptions on the potential F, and based on variational arguments. Our results include subcritical, resonant and critical growth on F. © 2007 Birkhäuser Verlag.
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Citas:
---------- APA ----------
Bonder, J.F., Martínez, S. & Rossi, J.D.
(2007)
. Existence results for Gradient elliptic systems with nonlinear boundary conditions. Nonlinear Differential Equations and Applications, 14(1-2), 153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2---------- CHICAGO ----------
Bonder, J.F., Martínez, S., Rossi, J.D.
"Existence results for Gradient elliptic systems with nonlinear boundary conditions"
. Nonlinear Differential Equations and Applications 14, no. 1-2
(2007) : 153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2---------- MLA ----------
Bonder, J.F., Martínez, S., Rossi, J.D.
"Existence results for Gradient elliptic systems with nonlinear boundary conditions"
. Nonlinear Differential Equations and Applications, vol. 14, no. 1-2, 2007, pp. 153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2---------- VANCOUVER ----------
Bonder, J.F., Martínez, S., Rossi, J.D. Existence results for Gradient elliptic systems with nonlinear boundary conditions. Nonlinear Diff. Equ. Appl. 2007;14(1-2):153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2