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Complex Variables and Elliptic Equations
An International Journal
Volume 56, 2011 - Issue 12: Nonlinear Partial Differential Equations, in honour of Franco Nicolosi; Guest Editors: Salvatore Leonardi and Robert P. Gilbert
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Original Articles

The local boundedness of solutions for a class of degenerate nonlinear elliptic higher order equations with data close enough to L1

S. Bonafede Dipartimento di Scienze e Tecnologie Agro-Forestali ed Ambientali, Università degli Studi Mediterranea di Reggio Calabria, Localitá Feo di Vito, 89122 Reggio Calabria, ItalyCorrespondence[email protected]
&
F. Nicolosi Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria, 6 - I 95125, Catania, Italy
Pages 1055-1070 | Received 29 Mar 2010, Accepted 23 Sep 2010, Published online: 15 Sep 2011

References

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  • Kovalevsky , A and Nicolosi , F . 2000 . “ On Hölder continuity of solutions of equations and variational inequalities with degenerate nonlinear high order operators ” . In Problemi Attuali Dell'analisi e Della Fisica Matematica , 205 – 220 . Roma : Aracne Editrice .
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  • Guglielmino , F and Nicolosi , F . 1987 . W-solutions of boundary value problems for degenerate elliptic operators . Ric. Mat. Suppl. , 36 : 59 – 72 .
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  • Kovalevsky , A and Nicolosi , F . 2006 . On the sets of boundedness of solutions for a class of degenerate nonlinear elliptic fourth-order equations with L 1-data . Fundam. Prikl. Mat. , 12 ( 4 ) : 99 – 112 .
  • Lions , JL . 1969 . Quelques Méthods de Résolution des Problèmes aux Limites non Linéaires , Paris : Dunod, Gauthier-Villars .
  • Kovalevsky , A . 2002 . Entropy solutions of the Dirichlet problem for a class of nonlinear elliptic higher-order equations with L 1-data . Nonlinear Bound. Value Probl. , 12 : 119 – 127 .
  • Kovalevsky , A . 2001 . Entropy solutions of the Dirichlet problem for a class of non-linear elliptic fourth-order equations with right-hand sides in L 1 . Izv. Math. , 65 : 231 – 283 .

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