On an asymptotically linear elliptic Dirichlet problem
Zhang, Zhitao ; Li, Shujie ; Liu, Shibo ; Feng, Weijie
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 509-516 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.
Publié le : 2002-05-14
Classification:  35J65 
@article{1050348331,
     author = {Zhang, Zhitao and Li, Shujie and Liu, Shibo and Feng, Weijie},
     title = {On an asymptotically linear elliptic Dirichlet problem},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 509-516},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348331}
}

Zhang, Zhitao; Li, Shujie; Liu, Shibo; Feng, Weijie. On an asymptotically linear elliptic Dirichlet problem. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  509-516. http://gdmltest.u-ga.fr/item/1050348331/