Quasilinear elliptic equations with boundary blow-up |
| |
Authors: | Jerk Matero |
| |
Affiliation: | (1) Department of Mathematics, Uppsala University, Box 480, S-75106 Uppsala, Sweden |
| |
Abstract: | Assume that Ω is a bounded domain in ℝ N withN ≥2, which has aC 2-boundary. We show that forp ∃ (1, ∞) there exists a weak solutionu of the problem δp u(x) = f(u(x)), x ∃ Ω with boundary blow-up, wheref is a positive, increasing function which meets some natural conditions. The boundary blow-up ofu(x) is characterized in terms of the distance ofx from ∂Ω. For the Laplace operator, our results coincide with those of Bandle and Essén [1]. Finally, for a rather wide subclass of the class of the admissible functionsf, the solution is unique whenp ∃ (1, 2]. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|