We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-1-5, author = {J. Chabrowski and P. Dr\'abek}, title = {On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities}, journal = {Studia Mathematica}, volume = {151}, year = {2002}, pages = {67-85}, zbl = {0993.35029}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-1-5} }
J. Chabrowski; P. Drábek. On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities. Studia Mathematica, Tome 151 (2002) pp. 67-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-1-5/