Resumen de Degenerate Elliptic Equations with Nonlinear Boundary Conditions and Measures Data
Fuensanta Andreu Vaíllo, Noureddine Igbida, José Manuel Mazón Ruiz, José Julián Toledo Melero
In this paper we study the questions of existence and uniqueness of solutions for equations of type −div a(x , Du) + γ (u) 3 µ1 , posed in an open bounded subset Q of RN , with nonlinear boundary conditions of the form a(x , Du)·η +β(u) 3 µ2 . The nonlinear elliptic operator div a(x , Du) is modeled on the p-Laplacian operator tl. p (u) = div (|Du| p−2 Du), with p > 1, γ and β are maximal monotone graphs in R2 such that 0 ∈ γ (0) ∩ β(0) and the data µ1 and µ2 are measures.
