Existence and multiplicity results for a second order equation with radiation boundary conditions

P. AMSTER; M. P. KUNA

Barcelona

Workshop; JISD 2014: Workshop on Dynamical Systems and PDE's; 2014

Let us consider the following equation for a function u : [0, 1] → R u´´(x) = g(x, u) + A(x), where A ∈ L^2(0, 1) and g : [0, 1] × R → R is continuous and superlinear, subject to radiation boundary conditions. We shall study existence, uniqueness and multiplicity of solutions using variational methods.