𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the nonhomogeneous Neumann problem with weight and with critical nonlinearity in the boundary

✍ Scribed by H. Yazidi

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
509 KB
Volume
68
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Interaction between the Geometry of the
Interaction between the Geometry of the Boundary and Positive Solutions of a Semilinear Neumann Problem with Critical Nonlinearity
✍ F. AdimurthiPacella; S.L. Yadava πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 837 KB

We consider the problem: \(-\Delta u+\lambda u=u^{(n+2) /(n-2)}, u>0\) in \(\Omega, \partial u / \hat{\partial} v=0\) on \(\partial \Omega\), where \(\Omega\) is a bounded smooth domain in \(\mathbb{R}^{n}(n \geqslant 3)\). We show that, for \(\lambda\) large, least-energy solutions of the above pro

On Critical Exponents for the Heat Equat
On Critical Exponents for the Heat Equation with a Mixed Nonlinear Dirichlet–Neumann Boundary Condition
✍ Bei Hu; Hong-Ming Yin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 310 KB

In this paper we consider the heat equation u s ⌬ u in an unbounded domain t N Ε½ . ⍀;R with a partly Dirichlet condition u x, t s 0 and a partly Neumann condition u s u p on the boundary, where p ) 1 and is the exterior unit normal on the boundary. It is shown that for a sectorial domain in R 2 and