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/