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Díaz Díaz, Gregorio and Díaz Díaz, Jesús Ildefonso (2003) Uniqueness of the boundary behavior for large solutions to a degenerate elliptic equation involving the ∞–Laplacian. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 97 (3). pp. 455-460. ISSN 1578-7303
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Official URL: http://www.rac.es/ficheros/doc/00141.pdf
Abstract
In this note we estimate the maximal growth rate at the boundary of viscosity solutions to −∆∞u + λ|u| m−1 u = f in Ω (λ > 0, m > 3).In fact, we prove that there is a unique explosive rate on the boundary for large solutions. A version of Liouville Theorem is also obtained when Ω = R N
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ∞–Laplacian operator; large solutions; Liouville property; viscosity solutions |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 30952 |
| Deposited On: | 17 Jun 2015 08:14 |
| Last Modified: | 12 Dec 2018 15:07 |
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