On the existence of a positive solution for a semilinear elliptic equation in the upper half space
Shaowei, Chen ; Yongqing, Li
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 29-33 / Harvested from Project Euclid
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We show the existence of a nontrivial solution to the semilinear elliptic equation $-\triangle u + u = b(x)|u|^{p-2}u,u > 0,u\in H^{1}_{0}(\mathbb{R}^{N}_{+})$ under some suitable conditions.
Publié le : 2002-05-14
Classification:  35J25 
@article{1050348524,
     author = {Shaowei, Chen and Yongqing, Li},
     title = {On the existence of a positive solution for a semilinear elliptic
equation in the upper half space},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 29-33},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348524}
}

Shaowei, Chen; Yongqing, Li. On the existence of a positive solution for a semilinear elliptic
equation in the upper half space. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  29-33. http://gdmltest.u-ga.fr/item/1050348524/