Zhang, Kewei2019-11-222019-11-221999-09-15Zhang, 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. 1-10.1072-6691https://hdl.handle.net/10877/8884We 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).Text10 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinear elliptic equationSupercritical growthUniquenessNon-contractible domainsPohozaev identityArticle