Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 3
Submit an article Journal homepage
39
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

The regularity of generalized solutions of degenerate nonlinear higher order elliptic systems

S. Bonafede Dipartimento di Scienze e Tecnologie Agro-Forestali ed Ambientali, Università degli Studi Mediterranea di Reggio Calabria, Località 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 337-352 | Received 23 Oct 2009, Accepted 10 Nov 2009, Published online: 05 Mar 2010

References

  • Bonafede , S and Nicolosi , F . Existence of bounded solutions for a system of degenerate nonlinear higher-order elliptic equations, Complex Var. Elliptic Equ., DOI: 10.1080/17476930902978219, (to appear)
  • Kovalevsky , A and Nicolosi , F . 2005 . Existence and regularity of solutions to a system of degenerate nonlinear fourth-order equations . Nonlinear Anal. , 61 : 281 – 307 .
  • Kovalevsky , A and Nicolosi , F . 2000 . On regularity up to the boundary of solutions to degenerate nonlinear elliptic high-order equations . Nonlinear Anal. , 40 : 365 – 379 .
  • Nicolosi , F and Skrypnik , IV . 1996 . Nizemberg-Gagliardo interpolation inequality and regularity of solutions of nonlinear higher order equations . Topol. Methods Nonlinear Anal. , 7 : 327 – 347 .
  • Drabek , P and Nicolosi , F . 1993 . Existence of bounded solutions for some degenerated quasilinear elliptic equations . Ann. Mat. Pura Appl. , 165 : 217 – 238 .
  • Guglielmino , F and Nicolosi , F . 1988 . Existence theorems for boundary value problems associated with quasilinear elliptic equations . Ricerche Mat. , 37 : 157 – 176 .
  • Murthy , MKV and Stampacchia , G . 1968 . Boundary value problems for some degenerate elliptic operators . Ann. Mat. Pura Appl. , 80 ( 4 ) : 1 – 122 .
  • Kovalevsky , A and Nicolosi , F . 1997 . Boundedness of solutions of variational inequalities with nonlinear degenerated elliptic operators of high order . Appl. Anal. , 65 : 225 – 249 .
  • Skrypnik , IV . 1978 . High-order quasilinear elliptic equations with continuous generalized solutions . Differential Equ. , 14 : 786 – 795 .
  • Skrypnik , IV . 1973 . Nonlinear Elliptic Equations of Higher Order , Kiev : Naukova Dumka .
  • Ladyzhenskaya , O and Ural'tseva , N . 1968 . Linear and quasilinear elliptic equations , New York, London : Academic Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.