185 research outputs found
Existence of Conformal Metrics on Spheres with Prescribed Paneitz Curvature
In this paper we study the problem of prescribing a fourth order conformal
invariant (the Paneitz curvature) on the -sphere, with . Using
tools from the theory of critical points at infinity, we provide some
topological conditions on the level sets of a given positive function under
which we prove the existene of a metric, conformally equivalent to the standard
metric, with prescribed Paneitz curvature.Comment: 20 page
The Paneitz Curvature Problem on Lower Dimensional Spheres
In this paper we prescribe a fourth order conformal invariant 9the Paneitz
Curvature) on five and six spheres. Using dynamical and topological methods
involving the study of critical points at infinity of the associated
variational problem, we prove some existence results.Comment: 34 page
Lyee Program Execution Patterns
National audienceThe research undertaken aims to find regularities in Lyee program execution traces and to relate the trace chunks to well defined types of Lyee design situations. Our findings take the form of Lyee execution patterns, each pattern coupling a situation with a trace chunk. The paper presents and illustrate them with an example
Some Existence Results for a Paneitz Type Problem Via the Theory of Critical Points at Infinity
In this paper a fourth order equation involving critical growth is considered
under Navier boundary condition. We give some topological conditions on a given
function to ensure the existence of solutions. Our methods involve the study of
the critical points at infinity and their contribution to the topology of the
level sets of the associated Euler Lagrange functionalComment: 26 page
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