Nascimento, Arnaldo Simal do2018-11-042018-11-041997-12-01Nascimento, A. S. (1997). Stable multiple-layer stationary solutions of a semilinear parabolic equation in two-dimensional domains. <i>Electronic Journal of Differential Equations 1997</i>(22), pp. 1-17.1072-6691https://hdl.handle.net/10877/7768We use Γ-convergence to prove existence of stable multiple-layer stationary solutions (stable patterns) to a reaction-diffusion equation. Given nested simple closed curves in ℝ2, we give sufficient conditions on their curvature so that the reaction-diffusion problem possesses a family of stable patterns. In particular, we extend to two-dimensional domains and to a spatially inhomogeneous source term, a previous result by Yanagida and Miyata.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalDiffusion equationGamma-convergenceTransition layersStable equilibriaArticle