Uniqueness Results through a Priori Estimates Part II. Dirichlet Problem

✍ Scribed by Meijun Zhu

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 131 KB
• Volume: 248
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.6884

✦ Synopsis

Global L ϱ bound and uniqueness results about the Dirichlet problem, y⌬u q ␣ u s u Ž nq2.rŽ ny2. , u G 0 in ⍀, u s 0 on Ѩ ⍀, are obtained, where ⍀ ; ‫ޒ‬ n Ž . Ž . n G 3 is a bounded smooth domain and ␣ g 0, is close to , the first 1 1 eigenvalue of y⌬ with Dirichlet boundary condition.