On the coerciveness property of the biharmonic operator


  • Gabriel N. Gatica Universidad de Concepción.




We consider the weak formulation of the bilurmonic equation under two different kinds of boundary conditions. It is shown, in one case, that the coerciveness of the bilinear form associated can be easily deduced by using the continuous- dependence result for the Laplace equation with Dirichlet data. In the second case, a generalized l'oincare inequality is readily employed.

Author Biography

Gabriel N. Gatica, Universidad de Concepción.

Departamento de Matemática.



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How to Cite

G. N. Gatica, “On the coerciveness property of the biharmonic operator”, Proyecciones (Antofagasta, On line), vol. 10, no. 17, pp. 27-34, Apr. 2018.