Skip to main content
SpringerLink
Log in

Teoremi di completezza connessi con equazioni ellittiche di ordine superiore in due variabili in un campo con contorno angoloso

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

Polynomials solutions of the elliptic equation (1.1) are considered in a domain whose boundary has edges but no cusps. It is shown that by using such solutions it is possible to built complete systems of vectors in suitable function spaces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Bibliografia

  1. Agmon S.,Multiple layer potential and the Dirichlet problem for higher order elliptic equations in the plane, I Comm. Pure Appl. Math., X, 1957, 179–239.

    Article  MathSciNet  Google Scholar 

  2. Castellani Rizzonelli P.,Proprietà di approssimazione L 2 di Runge e problema biarmonico generalizzato Rend. Acc. Naz. Lincei VIII, LXVI, 1979, 110–116.

    Google Scholar 

  3. Cialdea A.Un teorema di completezza per i polinomi biarmonici in un campo con contorno angoloso Rend. Matem., in corso di pubblicazione.

  4. Colautti M. P.,Teoremi di completezza in spazio hilbertiani connessi con l'equazione di Laplace in due variabili Rend. Sem. Matem. di Padova,31, 1961, 114–164.

    MathSciNet  Google Scholar 

  5. Fichera G.,Linear elliptic equations of higher order in two independent variables and singular integral equations, with applications to anisotropic inhomogeneous elasticity Partial differential equations and continuum mechanics, The Univ. of Wisconsin Press, Madison, 1961, 55–80.

    Google Scholar 

  6. Ricci P. E.Sui potenziali di semplice strato per le equazioni ellittiche di ordine superiore in due variabili Rend. Matem. VI, VII, 1974, 1–39.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dott. Alberto Cialdea, Via Emanuele Filiberto, 100, 00185, Roma

    Alberto Cialdea

Authors
  1. Alberto Cialdea
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cialdea, A. Teoremi di completezza connessi con equazioni ellittiche di ordine superiore in due variabili in un campo con contorno angoloso. Rend. Circ. Mat. Palermo 35, 32–49 (1986). https://doi.org/10.1007/BF02844040

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844040

Search

Navigation