We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-up technique applied to some nonlinear Neumann problems.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm88-2-3, author = {J. Chabrowski and P. M. Gir\~ao}, title = {The nonlinear Neumann problem and sharp weighted Sobolev inequalities}, journal = {Colloquium Mathematicae}, volume = {89}, year = {2001}, pages = {193-213}, zbl = {1116.35316}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm88-2-3} }
J. Chabrowski; P. M. Girão. The nonlinear Neumann problem and sharp weighted Sobolev inequalities. Colloquium Mathematicae, Tome 89 (2001) pp. 193-213. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm88-2-3/