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

• Main Authors: Francesco Nicolosi, Alexander A. Kovalevsky
• Format: Article
• Language: English
• Published: Università degli Studi di Catania 2007-12-01
• Series: Le Matematiche
• Subjects: Degenerate nonlinear elliptic fourth-order equations; strengthened monotonicity condition; absortion; Dirichlet problem; existence of solutions; sets ob boundedness
• Online Access: http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/38
• ISSN: 0373-3505; 2037-5298

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.