Some Existence Results for a Paneitz Type Problem Via the Theory of Critical Points at Infinity

Details Some Existence Results for a Paneitz Type Problem Via the Theory of Critical Points at Infinity Some Existence Results for a Paneitz Type Problem Via the Theory of Critical Points at Infinity

2003-05-14

arxiv.org/abs/math/0305198v3

Mathematics

Analysis of PDEs

26 pages

Scientific paper

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 functional

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