Wei, Juncheng On the effect of domain geometry in singular perturbation problems. (English) Zbl 0970.35034 Differ. Integral Equ. 13, No. 1-3, 15-45 (2000). Singularly perturbed elliptic problems are considered. The single-peaked solutions are studied. It is shown that the location of maximum points of single-peaked solutions depends on the geometric properties of the domain. There are examples of domains for which the single-peaked set is calculated. Reviewer: Ramzet M.Dzhafarov (Donetsk) Cited in 11 Documents MSC: 35J60 Nonlinear elliptic equations 35B25 Singular perturbations in context of PDEs 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 35B45 A priori estimates in context of PDEs Keywords:single-peaked solutions; general solutions; single-peaked set PDFBibTeX XMLCite \textit{J. Wei}, Differ. Integral Equ. 13, No. 1--3, 15--45 (2000; Zbl 0970.35034)