On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
Volume 151 / 2002
Studia Mathematica 151 (2002), 67-85
MSC: 35J20, 35J60, 35J70.
DOI: 10.4064/sm151-1-5
Abstract
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.