Name
Abstract | ||
|---|---|---|
The p-Laplace operator arises in the Euler Lagrange equation associated with a minimizing problem which contains the L-p norm of the gradient of functions. However, when we adapt a different L-p norm equivalent to the standard one in the minimizing problem, a different p-Laplace-type operator appears in the corresponding Euler Lagrange equation. First, we derive the limit PDE which the limit function of minimizers of those, as p --> infinity, satisfies in the viscosity sense. Then we investigate the uniqueness and existence of viscosity solutions of the limit PDE. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S0036141000380000 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
viscosity solution,fully nonlinear equation,infinity-Laplacian,comparison principle,concave solution | Uniqueness,Mathematical optimization,Mathematical analysis,Lp space,Calculus of variations,Weak solution,Operator (computer programming),Viscosity solution,Partial differential equation,Mathematics,Laplace operator | Journal |
Volume | Issue | ISSN |
33 | 3 | 0036-1410 |
Citations | PageRank | References |
1 | 0.75 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Toshihiro Ishibashi | 1 | 1 | 3.11 |
| Shigeaki Koike | 2 | 2 | 1.16 |