Concentration-compactness principle for mountain pass problems
Kyril Tintarev
Abstract
In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on N converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition F∞(s)<F(x,s). The proof suggests a concentration compactness framework for minimax problems, similar to that of P.-L.Lions for constrained minima.
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