A Dirichlet problem with asymptotically linear and changing sign nonlinearity
Marcello Lucia, Paola Magrone, Huan‐Song Zhou · Revista Matemática Complutense · 2003
This paper deals with the problem of finding positive solutions to the equation -u = g (x, u) on a bounded domain , with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem. 2000 Mathematics Sub ject Classification: 35J20, 35J65.