We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am33-3-8, author = {Aleksandra Orpel}, title = {Semilinear elliptic problems in unbounded domains}, journal = {Applicationes Mathematicae}, volume = {33}, year = {2006}, pages = {345-354}, zbl = {1167.35374}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am33-3-8} }
Aleksandra Orpel. Semilinear elliptic problems in unbounded domains. Applicationes Mathematicae, Tome 33 (2006) pp. 345-354. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am33-3-8/