Concentration-compactness principle for mountain pass problems

Details Concentration-compactness principle for mountain pass problems Concentration-compactness principle for mountain pass problems

2005-05-22

arxiv.org/abs/math/0505454v1

Mathematics

Analysis of PDEs

Scientific paper

In the paper we show that critical sequences associated with the mountain
pass level for semilinear elliptic problems on $\R^N$ converge when the
non-linearity is subcritical, superlinear and satisfies the penalty condition
$F_\infty(s)for minimax problems, similar to that of P.-L.Lions for constrained minima.

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