Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 4
Submit an article Journal homepage
46
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On the boundedness of solutions for degenerate nonlinear elliptic equations

Paolo Cianci Department of Mathematics, University of Catania, Catania, ItalyCorrespondence[email protected]
Pages 429-437 | Received 01 Aug 2003, Accepted 26 Jul 2005, Published online: 25 Jan 2007

References

  • Bonafede , S . 1996 . A weak maximum principle and estimates of Ess sup u for nonlinear degenerate elliptic equations . Czechoslovak Mathematical Journal , 46 ( 121 ) : 259 – 269 . n. 2
  • D'Asero , S . 1998 . Integral estimate for the gradients of solutions of local nonlinear variational inequalities with degeneration . Nonlinear Studies , 5 : 95 – 113 . n. 1
  • Guglielmino , F and Nicolosi , F . 1987 . Sulle W-soluzioni dei problemi al contorno per operatori ellittici degeneri . Ricerche di Matematica , 36 Supplemento
  • Guglielmino , F and Nicolosi , F . 1988 . Teoremi di esistenza per i problemi al contorno relativi alle equazioni ellittiche quasilineari . Ricerche di Matematica , 37 ( 1 ) : 157 – 176 .
  • Kovalevsky , A and Nicolosi , F . 1997 . Boundedness of solutions of variational inequalities with nonlinear degenerated elliptic operators of high order . Applicable Analysis , 65 : 225 – 249 . n. 3–4
  • Kovalevsky , A and Nicolosi , F . 2004 . Solvability of Dirichlet problem for a class of degenerate anisotropic equation with L 1 right hand side . sNonlinear Analysis , 59 : 347 – 370 . n. 3
  • Leonardi , S . 1994 . On embedding theorems and Nemitskii's operator in weighted Lebesgue spaces . Ricerche di Mat. , XLII
  • Leonardi , S . 1996 . Solvability of degenerate quasilinear equation . Nonlinear Analysis T. M. A. , 26 : 1053 – 1060 . n. 6
  • Murthy , MKV and Stampacchia , G . 1968 . Boundary value problems for some degenerate elliptic operators . Annali di Matematica Pura ed Applicata , 80 ( 4 ) : 1 – 122 .
  • Nicolosi , F . 1980 . Weak solutions of boundary value problems for parabolic operators that may degenerate (Italian) . Annali di Matematica Pura ed Applicata , 125 ( 4 ) : 135 – 155 .
  • Nicolosi , F and Skrypnik , IV . 1996 . Nirenberg-Gagliardo interpolation inequality and regularity of solution of nonlinear higher order equations . Topological Methods in Nonlinear Analysis , 7 : 327 – 347 .
  • Skrypnik , IV . 1978 . On quasilinear elliptic equations of higher order with continuous generalized solutions, Differential Equations . 14 : 1104 – 1118 . (in Russian)

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.