Uniqueness for a Semilinear Elliptic Equation in Non-contractive Domains Under Supercritical Growth Conditions
Date
1999-09-15
Authors
Zhang, Kewei
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We apply the Pohozaev identity to sub-domains of a tubular neighbourhood of a closed or broken curve in ℝn and establish uniqueness results for the smooth solutions of the Dirichlet problem for -Δu + |u|p-1 u = 0. We require the domain to be in ℝn with n ≥ 4 and with p > (n + 1)/(n - 3).
Description
Keywords
Semilinear elliptic equation, Supercritical growth, Uniqueness, Non-contractible domains, Pohozaev identity
Citation
Zhang, K. (1999). Uniqueness for a semilinear elliptic equation in non-contractive domains under supercritical growth conditions. <i>Electronic Journal of Differential Equations, 1999</i>(33), pp. 1-10.
Rights
Attribution 4.0 International