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.
Titolo: | A dirichlet problem with asymptotically linear and changing sign nonlinearity |
Autori: | |
Data di pubblicazione: | 2003 |
Rivista: | |
Citazione: | LUCIA M, MAGRONE P, & ZHOU H.S (2003). A dirichlet problem with asymptotically linear and changing sign nonlinearity. REVISTA MATEMATICA COMPLUTENSE, 16, 465-481. |
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. |
Handle: | http://hdl.handle.net/11590/131658 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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