Nodal solutions on nonlocally conformally flat Riemannian manifolds with boundary (Q5954613)
From MaRDI portal
scientific article; zbMATH DE number 1701558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nodal solutions on nonlocally conformally flat Riemannian manifolds with boundary |
scientific article; zbMATH DE number 1701558 |
Statements
Nodal solutions on nonlocally conformally flat Riemannian manifolds with boundary (English)
0 references
8 December 2002
0 references
The paper establishes the existence of nodal solutions of a nonlinear Dirichlet problem with critical Sobolev exponent on a compact Riemannian manifold with boundary. A specific feature of the obtained solution is that it minimizes a suitable energy functional.
0 references
boundary value problem
0 references
Riemannian manifolds
0 references
critical exponent
0 references
