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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Alessandro Musesti, Marco Squassina, Asymptotics of Solutions for fully Nonlinear Elliptic Problems at Nearly Critical Growth. Z. Anal. Anwend. 21 (2002), no. 1, pp. 185–201DOI 10.4171/ZAA/1071