Resumen de A Dirichlet problem with asymptotically linear and changing sign nonlinearity

Marcello Lucia, Huan-Song Zhou, Paola Magrone

• This paper deals with the problem of finding positive solutions to the equation -Du=g(x,u) on a bounded domain "omega" with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.