Srikanth, P. N. Uniqueness of solutions of nonlinear Dirichlet problems. (English) Zbl 0803.35057 Differ. Integral Equ. 6, No. 3, 663-670 (1993). Summary: We prove the uniqueness of solution for the problem \[ - \Delta u = u^ p + \lambda u \quad \text{in} \quad \Omega, \qquad u>0 \quad \text{in} \quad \Omega, \qquad u = 0 \quad \text{on} \quad \partial \Omega, \] where \(\Omega \subset \mathbb{R}^ n\) is the unit ball with \(n \geq 3\), \(1<p \leq(n+2)/(n-2)\) and \(\lambda>0\). Cited in 33 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:semilinear elliptic equation; uniqueness of positive solution PDFBibTeX XMLCite \textit{P. N. Srikanth}, Differ. Integral Equ. 6, No. 3, 663--670 (1993; Zbl 0803.35057)