The index of isolated critical points and solutions of elliptic equations in the plane
G. Alessandrini, R. Magnanini (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Critical points of solutions of elliptic equations in two variables”
The index of isolated critical points and solutions of elliptic equations in the plane
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We study the problem of prescribing a fourth order conformal invariant on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.