On the sets of boundedness of solutions to degenerate fouth-order equations with strengtheningly monotone principal parts, absortion and L^1-data

  • Francesco Nicolosi Universita‘ degli Studi di Catania
  • Alexander A. Kovalevsky
Keywords: Degenerate nonlinear elliptic fourth-order equations, strengthened monotonicity condition, absortion, Dirichlet problem, existence of solutions, sets ob boundedness

Abstract

We consider the Dirichlet problem for a class of degenerate nonlinear elliptic fourth-order equations with strengtheningly monotone principal parts, absorbing lower-order terms and L1-right-hand sides. We establish existence of solutions of the given problem bounded on the sets where the behaviour of the data of the problem is regular enough.

Author Biography

Francesco Nicolosi, Universita‘ degli Studi di Catania
Dipartimento di Matematica e Informatica
Viale A.Doria 6
95125 Catania, Italia
Published
2007-12-06
Section
Articoli