Uniqueness Results through a Priori Estimates I. A Three Dimensional Neumann Problem

Uniqueness Results through a Priori Esti

Uniqueness Results through a Priori Estimates Part II. Dirichlet Problem

✍ Meijun Zhu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 131 KB

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.