Rodríguez Bernal, AníbalVidal López, AlejandroChipot, M.Escher, J.2023-06-202023-06-202005H. Amann. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Review, 18(4):620–709, 1976. H. Berestycki and P.L. Lions. Some applications of the method of super and subsolutions. In Bifurcation and nonlinear eigenvalue problems (Proc., Session, Univ. Paris XIII, Villetaneuse, 1978), volume 782 of Lecture Notes in Math., pages 16–41. Springer, Berlin, 1980. H. Brézis and Luc Oswald. Remarks on sublinear elliptic equations. Nonlinear Anal., Theory Methods Appl., 10:55–64, 1986. D.G. de Figueiredo. Positive solutions of semilinear elliptic problems. In Differential equations (São Paulo, 1981), volume 957 of Lecture Notes in Math., pages 34–87. Springer, Berlin, 1982. D. Henry. Geometric Theory of Semilinear Parabolic Equations. Number 840 in Lecture Notes in Mathematics. Springer-Verlag, 1981. P.L. Lions. On the existence of positive solutions of semilinear elliptic equations. SIAM Review, 24(4):441–467, 1982. A. Lunardi. Analytic semigroups and optimal regularity in parabolic problems. Progress in Nonlinear Differential Equations and their Applications, 16. Birkhäuser Verlag, Basel, 1995. I. Stakgold and L.E. Payne. Nonlinear problems in nuclear reactor analysis. In Nonlinear problems in the physical sciences and biology (Proc. Battelle Summer Inst., Seattle, Wash., 1972), volume 322 of Lecture Notes in Math., pages 298–307. Springer, Berlin, 1979.3-7643-7266-410.1007/3-7643-7385-7_30https://hdl.handle.net/20.500.14352/53191Conference on Nonlinear Elliptic and Parabolic Problems. Zurich, SWITZERLAND. JUN 28-30, 2004.The authors find a growth condition on the nonlinear term f(x, u) of a nonlinear heat equation which ensures the existence of maximal and minimal equilibria that bound asymptotically all solutions to that nonlinear heat equation.engbook parthttp://link.springer.com/chapter/10.1007%2F3-7643-7385-7_30http://link.springer.comopen access515.1Nonlinear heat equationsAsymptotic behaviorGrowth conditionMaximal and minimal equilibriaTopología1210 Topología