Mohamed Ben Ayed, Khalil El Mehdi, Mokhless Hammami
Published 2003-05-14, updated 2004-08-18Version 3
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
An introduction to the study of critical points of solutions of elliptic and parabolic equations
Existence results for mean field equations with turbulence
Qualitative analysis on the critical points of the Robin function
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