By Conti M., Terracini S., Verzini G.
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Extra resources for An optimal partition problem related to nonlinear eigenvalues
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  C. Miranda, Un’osservazione sul teorema di Brouwer, Boll. I. Serie II, Anno II, 1 (1940), 5–7  Z. Nehari, Characteristic values associated with a class of nonlinear second order differential equations, Acta Math. 105 (1961), 141–175  M.
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  C. Miranda, Un’osservazione sul teorema di Brouwer, Boll. I. Serie II, Anno II, 1 (1940), 5–7  Z. Nehari, Characteristic values associated with a class of nonlinear second order differential equations, Acta Math. 105 (1961), 141–175  M.
Lazer, Stable coexistence in the Volterra–Lotka competition model with diffusion, SIAM J. Math. Anal. 44 (1984), 1112–1132  M. Conti, S. Terracini, G. Verzini Nehari’s Problem and Competing Species Systems , Ann. Inst. H. N. Dancer, Competing species systems with diffusion and large interaction, Rend. Sem. Mat. Fis. N. H. Du, Competing species equations with diffusion, large interactions, and jumping nonlinearities, J. N. M. Guo, Uniqueness and stability for solutions of competing species equations with large interactions, Comm.
An optimal partition problem related to nonlinear eigenvalues by Conti M., Terracini S., Verzini G.