Troy, William C. Symmetry properties in systems of semilinear elliptic equations. (English) Zbl 0486.35032 J. Differ. Equations 42, 400-413 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 133 Documents MSC: 35J60 Nonlinear elliptic equations 76R99 Diffusion and convection 35B50 Maximum principles in context of PDEs 58J10 Differential complexes Keywords:reaction-diffusion problems; spatial phenomena; device of moving parallel planes; Belousov-Zhabotinskii chemical reaction PDFBibTeX XMLCite \textit{W. C. Troy}, J. Differ. Equations 42, 400--413 (1981; Zbl 0486.35032) Full Text: DOI References: [1] Conway, E.; Smoller, J., A comparison technique for systems of reaction-diffusion equations, Comm. Partial Differential Equations, 2, 679-697 (1977) · Zbl 0386.35003 [2] Field, R. J.; Noyes, R. M., Limit cycle oscillations in a model of a real chemical reaction, J. Chem. Phys., 60, 1877-1884 (1974) [3] Field, R. J.; Troy, W. C., Solitary travelling wave solutions of the Field-Noyes model of the Belousov-Zhabotinskii reaction, SIAM J. Appl. Math., 37, 561-587 (1979) · Zbl 0449.35091 [4] Gidas, B.; Ni, W.-M.; Nirenberg, L., Symmetry and related properties via the maximum principle, Comm. Math. Phys., 68, 209-243 (1979) · Zbl 0425.35020 [5] Protter, M. H.; Weinberger, H. F., Maximum Principles in Differential Equations (1967), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J. · Zbl 0153.13602 [6] Serrin, J., A symmetry problem in potential theory, Arch. Rational Mech. Anal., 43, 304-318 (1971) · Zbl 0222.31007 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.