In this paper we deal with the study of limits of solutions of a class of fully nonlinear elliptic problems at nearly critical growth. By means of P.L. Lions' concentration-compactness principle, we prove an alternative result for the existence of non-trivial solutions of the limit problem.
Musesti, A., Squassina, M., Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth, <<ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN>>, 2002; 21 (1): 185-201. [doi:10.4171/ZAA/1071] [http://hdl.handle.net/10807/87007]
Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth
Musesti, Alessandro;Squassina, Marco
2002
Abstract
In this paper we deal with the study of limits of solutions of a class of fully nonlinear elliptic problems at nearly critical growth. By means of P.L. Lions' concentration-compactness principle, we prove an alternative result for the existence of non-trivial solutions of the limit problem.
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