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.
2003
Lucia, M., Magrone, P., Zhou, H.S. (2003). A dirichlet problem with asymptotically linear and changing sign nonlinearity. REVISTA MATEMATICA COMPLUTENSE, 16, 465-481.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/131658
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact