The Dirichlet Problem for a Second Order Elliptic Equation Degenerating on the Whole Boundary When the Boundary Condition Is Satisfied in the Presence of Some Weight

2006 ◽  
Vol 13 (3) ◽  
pp. 573-579
Author(s):  
Mikheil Usanetashvili
Keyword(s):  
Boundary Condition ◽  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Boundary Value Problem ◽  
General Type ◽  
Type Equation ◽  
Second Order ◽  
Elliptic Type ◽  
Order Elliptic Equation ◽  
Second Order Elliptic Equation

Abstract The first boundary value problem with weight is investigated for a general-type second order elliptic type equation degenerating on the whole boundary.

scholarly journals On the Existence and Uniqueness ofRv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
V. Rukavishnikov ◽  
E. Rukavishnikova
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Input Data ◽  
Generalized Solution ◽  
Two Dimensional ◽  
Order Elliptic Equation ◽  
Second Order Elliptic Equation ◽  
Dimensional Domain

The existence and uniqueness of theRv-generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.

Sign in / Sign up

Export Citation Format

Share Document