Name
Title | ||
|---|---|---|
On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation |
Abstract | ||
|---|---|---|
This work is devoted to the investigation of the nonclassical problem for a multidimensional elliptic equation with two integral boundary conditions. By introducing special multipliers we prove the uniqueness of the solution and obtain new a priori estimates, which permit one to establish the existence of a solution in the corresponding Sobolev spaces. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.aml.2010.11.014 | Applied Mathematics Letters |
Keywords | Field | DocType |
PDE of elliptic type,Boundary value problem,Integral boundary condition,Existence and Uniqueness | Uniqueness,Boundary value problem,Mathematical optimization,Mathematical analysis,Sobolev space,Integral equation,Free boundary problem,Partial differential equation,Elliptic curve,Mathematics,Elliptic boundary value problem | Journal |
Volume | Issue | ISSN |
24 | 4 | 0893-9659 |
Citations | PageRank | References |
5 | 0.53 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| G. Avalishvili | 1 | 6 | 1.26 |
| M. Avalishvili | 2 | 6 | 1.26 |
| D. Gordeziani | 3 | 5 | 0.87 |