Existence of solutions in two optimization problems (Q2762955)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Existence of solutions in two optimization problems |
scientific article; zbMATH DE number 1689806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions in two optimization problems |
scientific article; zbMATH DE number 1689806 |
Statements
16 January 2002
0 references
\(p\)-Laplacian
0 references
minimization
0 references
eigenvalue problem
0 references
Existence of solutions in two optimization problems (English)
0 references
The authors consider two optimization problems for the \(p\)-Laplacian in a bounded domain with smooth boundary. In the first problem they prove the existence of a domain that maximizes the corresponding energy integrals associated with the solutions of the Dirichlet problem. The second optimization problem is related to the first eigenvalue for the \(p\)-Laplacian having nonlinear right-hand side with respect to the unknown function \(u\). They prove the existence of a domain that minimizes the corresponding first eigenvalues of the Dirichlet problem.
0 references
