On non-closure of range of values of elliptic operator for a plane angle

Let {Mathematical expression} a plane angle of opening α∈(π, 2π). Let PD and PN the Dirichlet and Neumann problems associated to the Poisson equation in {Mathematical expression}. For PD and PN it is proved non existence of solution in Lp ( {Mathematical expression}) when p=2/(1±π/α). In other words, the ranges of elliptic operators naturally associated to PD and PN are not-closed in Lp ( {Mathematical expression}) for p=2/(1±π/α). © 1993 Università degli Studi di Ferrara.

Publisher
Springer-Verlag
Number of issue
1
Language
English
Pages
65-75
Status
Published
Volume
39
Year
1993
Organizations
  • 1 Via Garibaldi 23-1-51, Moscow, 13-335, 117335, Russian Federation
  • 2 Department of Differential Equation and Functional Analysis, Russian People's Friendship University, Mikluh-Maklaya str. 6, Moscow, 117198, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/1011/