Multiplicity for critical and overcritical equations
Analysis of PDEs
2008-12-18 v1 Differential Geometry
Functional Analysis
Abstract
On a Riemannian compact manifold, we give existence and multiplicity results for solutions of elliptic PDE by introducing isometry invariances. When the groups we used have finite orbits, we get multiplicity results for equations with the classical critical Sobolev exponent, for instance the Yamabe equation. When there is no finite orbits, the multiplicity is obtained for equations with overcritical exponents.
Cite
@article{arxiv.0804.1009,
title = {Multiplicity for critical and overcritical equations},
author = {Marie Dellinger},
journal= {arXiv preprint arXiv:0804.1009},
year = {2008}
}