Critical points of solutions of elliptic equations in two variables

Giovanni Alessandrini

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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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Critical points of solutions to the obstacle problem in the plane

Shigeru Sakaguchi (1994)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The structure of the critical set in the general mountain pass principle

Guangcai Fang (1994)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Liouville-Gelfand type problems for the $N$ -laplacian on bounded domains of $ℝ^{N}$

Elves A. de B. Silva, Sérgio H. M. Soares (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Prescribing $Q$ -curvature on higher dimensional spheres

Khalil El Mehdi (2005)

Annales mathématiques Blaise Pascal

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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.

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

Critical points of solutions to the obstacle problem in the plane

The structure of the critical set in the general mountain pass principle

Liouville-Gelfand type problems for the N -laplacian on bounded domains of ℝ N

Prescribing Q -curvature on higher dimensional spheres

Liouville-Gelfand type problems for the $N$ -laplacian on bounded domains of $ℝ^{N}$

Prescribing $Q$ -curvature on higher dimensional spheres