The first part of this paper deals with existence of solutions to the quasilinear elliptic problem − div a(x, ∇u) = f(x, u, ∇u) in Ω, a(x, ∇u) · ν = g(x, u) − ζ|u| p−2u on ∂Ω, (P) involving a general nonhomogeneous differential operator, namely div a, and Carathéodory functions f : Ω×R×RN → R and g : ∂Ω×R → R. Under appropriate conditions on the perturbations, we show that (P) possesses a bounded solution. In the second part, we consider the special case when div a is the (p, q)-Laplacian with a parameter µ > 0, and study the asymptotic behavior of solutions as µ goes to zero or to infinity. A uniqueness result is also provided
Titolo: | On a quasilinear elliptic problem with convection term and nonlinear boundary condition | |
Autori interni: | ||
Data di pubblicazione: | 2019 | |
Rivista: | ||
Handle: | http://hdl.handle.net/20.500.11769/365598 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |