Multiplicity for critical and overcritical equations

Details Multiplicity for critical and overcritical equations Multiplicity for critical and overcritical equations

2008-04-07

arxiv.org/abs/0804.1009v1

advanced nonlinear studies (2008) 8 (303-326)

Mathematics

Analysis of PDEs

Scientific paper

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.

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