Perturbations singulières coercives : réduction à des perturbations régulières et applications
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient.
Prescribing -curvature on higher dimensional spheres
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.
Problèmes aux limites non linéaires, non coercifs