Nonlinear elliptic fourth order equations existence and multiplicity results

Details Nonlinear elliptic fourth order equations existence and multiplicity results Nonlinear elliptic fourth order equations existence and multiplicity results

2010-04-15

arxiv.org/abs/1004.2669v2

Mathematics

Differential Geometry

Scientific paper

This paper deals with the existence of solutions to a class of fourth order
nonlinear elliptic equations. The technique used relies on critical points
theory. The solutions appeared as critical points of a functional restricted to
a suitable manifold.In the case of constant coefficients we obtain the
existence of tree distinct solutions.

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