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On the existence of positive solution for a semilinear elliptic equation on Esteban–Lions domain with “hole”

✍ Scribed by Shaowei Chen; Yongqing Li; Shujie Li

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
205 KB
Volume
61
Category
Article
ISSN
0362-546X

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On the Existence of Positive Solutions for Semilinear Elliptic Equations in the Annulus
✍ H.Y. Wang 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 180 KB

We study the existence of positive radial solutions of \(A u+g(|x|) f(u)=0\) in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions. We prove that the problems have positive radial solutions on any annulus if \(f\) is sublinear at 0 and \(\infty . \quad C 1994\) Academic Press, Inc.