Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Journal of Inequalities and Applications
Published in: Journal of Inequalities and Applications 1/2006

Open Access 01-12-2006 | Research Article

Bounds for elliptic operators in weighted spaces

Author: Loredana Caso

Published in: Journal of Inequalities and Applications | Issue 1/2006

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.
previous article Continuously differentiable means
next article Orthogonality preserving property, Wigner equation, and stability

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Caso L, Cavaliere P, Transirico M: On the maximum principle for elliptic operators. Mathematical Inequalities & Applications 2004,7(3):405–418.MATHMathSciNetCrossRef
2.
Caso L, Transirico M: Some remarks on a class of weight functions. Commentationes Mathematicae Universitatis Carolinae 1996,37(3):469–477.MATHMathSciNet
3.
Chiarenza F, Frasca F, Longo P: -solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients. Transactions of the American Mathematical Society 1993,336(2):841–853. 10.2307/2154379MATHMathSciNet
4.
Pucci C: Limitazioni per soluzioni di equazioni ellittiche. Annali di Matematica Pura ed Applicata 1996, 74: 15–30.MathSciNetCrossRef
5.
Transirico M, Troisi M, Vitolo A: BMO spaces on domains of. Ricerche di Matematica 1996,45(2):355–378.MATHMathSciNet
6.
Troisi M: Su una classe di funzoni peso. Rendiconti. Accademia Nazionale delle Scienze detta dei XL. Serie V. Memorie di Matematica 1986,10(1):141–152.MATHMathSciNet
7.
Vitanza C: A new contribution to theregularity for a class of elliptic second order equations with discontinuous coefficients. Le Matematiche 1993,48(2):287–296.MATHMathSciNet
8.
Ziemer WP: Weakly Differentiable Functions, Graduate Texts in Mathematics. Volume 120. Springer, New York; 1989:xvi+308.CrossRef
Metadata
Title
Bounds for elliptic operators in weighted spaces
Author
Loredana Caso
Publication date
01-12-2006
Publisher
Springer International Publishing
Published in
Journal of Inequalities and Applications / Issue 1/2006
Electronic ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/76215

Other articles of this Issue 1/2006

Journal of Inequalities and Applications 1/2006 Go to the issue

Research Article

Comparing the relative volume with the relative inradius and the relative width

Research Article

Parametric problem of completely generalized quasi-variational inequalities

Research Article

Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions

Research Article

Schur-convexity of the complete elementary symmetric function

Research Article

Hajek-Renyi-type inequality for some nonmonotonic functions of associated random variables

Research Article

Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball

Premium Partner

    Image Credits