This paper deals with the problem of finding positive solutions to the equation $-\Delta u=g(x,u)$ on a bounded domain $\Om,$ with Dirichlet boundary conditions. The function $g$ can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
Lucia, M., Magrone, P., Zhou, H.S. (2003). A dirichlet problem with asymptotically linear and changing sign nonlinearity. REVISTA MATEMATICA COMPLUTENSE, 16, 465-481.
A dirichlet problem with asymptotically linear and changing sign nonlinearity
MAGRONE, Paola;
2003-01-01
Abstract
This paper deals with the problem of finding positive solutions to the equation $-\Delta u=g(x,u)$ on a bounded domain $\Om,$ with Dirichlet boundary conditions. The function $g$ can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.File in questo prodotto:
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