An optimal partition problem related to nonlinear by Conti M., Terracini S., Verzini G.

By Conti M., Terracini S., Verzini G.

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To this aim we deduce by (25) and λ0i = 1, the relation 0 2 0 0 Ω |∇ui | = Ω f (ui )ui . Back to (26) we obtain that lim ε−1 ε→0 Ω Hui (U ε )uεi = 0. Now (27) becomes lim ε−1 ε→0 Ω H(U ε ) = 0 as desired. Furthermore, we deduce by (iii) that lim cε = J(U 0 ) ≤ c0 ε→0 where the last inequality follows by the definition of c0 and (i). Now it is enough to recall that limε→0 cε ≥ c0 by (23) to show that indeed limε→0 cε = c0 , proving (iv). 2, part 2. 2 it suffices to show that, for i = j, u0i and u0j have disjoint support: this is consequence of property (iii) and of the strong convergence of U ε to its weak limit.

N. Dancer, D. Hilhorst, M. A. Peletier, Spatial segregation limit of a competition– diffusion system, European J. Appl. Math. 10 (1999), 97–115 32 [12] P. Hartman, A. Winter, On the local behaviour of solutions of non–parabolic partial differenzial equations (III) Approximation by spherical harmonics, Amer. J. Math. 77 (1955), 329–354 [13] P. Korman, A. Leung On the existence and uniqueness of positive steady states in Lotka– Volterra ecological models with diffusion, Appl. Anal. C. J. McKenna, On steady state solutions of a system of reaction–diffusion equations from biology, Nonlinear Anal.

Korman, A. Leung On the existence and uniqueness of positive steady states in Lotka– Volterra ecological models with diffusion, Appl. Anal. C. J. McKenna, On steady state solutions of a system of reaction–diffusion equations from biology, Nonlinear Anal. TMA 6 (1982), 523–530 [15] C. Miranda, Un’osservazione sul teorema di Brouwer, Boll. I. Serie II, Anno II, 1 (1940), 5–7 [16] Z. Nehari, Characteristic values associated with a class of nonlinear second order differential equations, Acta Math. 105 (1961), 141–175 [17] M.

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