A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
Lucia, Marcello ; Magrone, Paola ; Zhou, Huan-Song
Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003), p. 465-481 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

This paper deals with the problem of finding positive solutions to the equation -∆[u] = 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.

Publié le : 2003-01-01
DMLE-ID : 962 
@article{urn:eudml:doc:44510,
     title = {A Dirichlet problem with asymptotically linear and changing sign nonlinearity.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {16},
     year = {2003},
     pages = {465-481},
     zbl = {1086.35048},
     mrnumber = {MR2032928},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44510}
}

Lucia, Marcello; Magrone, Paola; Zhou, Huan-Song. A Dirichlet problem with asymptotically linear and changing sign nonlinearity.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 465-481. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44510/