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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 10
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Original Articles

On improvement of summability properties of solutions of some degenerate nonlinear fourth-order equations

Alexander Kovalevsky Institute of Applied Mathematics and Mechanics, 83114 Donetsk, Ukraine
&
Francesco Nicolosi Dipartimento di Matematica ed Informatica, Università di Catania, 95125 Catania, ItaliaCorrespondence[email protected]
Pages 1207-1217 | Received 16 Apr 2004, Accepted 25 Jan 2006, Published online: 04 Jan 2007

References

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  • Kovalevskii , AA . 2003 . On the summability of entropy solutions for the Dirichlet problem in a class of non-linear elliptic fourth-order equations. . Izvestiya: Mathematics , 67 : 881 – 894 .
  • Kovalevsky , A and Nicolosi , F . 2002 . Entropy solutions of Dirichlet problem for a class of degenerate anisotropic fourth-order equations with L 1-right-hand sides . Nonlinear Analysis, Theory Methods and Applications , 50 : 581 – 619 .
  • Kovalevsky , A and Nicolosi , F . 2002 . Existence of solutions of some degenerate nonlinear elliptic fourth-order equations with L 1-data . Applicable Analysis , 81 : 905 – 914 .
  • Kovalevsky , A and Nicolosi , F . 2003 . Summability of solutions of Dirichlet problem for a class of degenerate nonlinear high-order equations. . Applicable Analysis , 82 : 93 – 101 .
  • Kovalevsky , A and Nicolosi , F . Summability of solutions of some degenerate nonlinear elliptic fourth-order equations . (Submitted)

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