On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter

نویسندگان

  • Bernd Kawohl
  • Guido Sweers
چکیده

with μ = b, one notices that the coupling for μ > 0 is noncooperative such that indeed, see [14], the standard maximum principle cannot be used. Nevertheless, by the results in [14] one is able to estimate the value bc(Ω) from below by using the so called 3G-Theorem from [3] which can be rephrased as a positivity preserving property for the auxiliary system:    −∆u = f − λ v in Ω, −∆v = f in Ω, u = v = 0 on ∂Ω, (1.3)

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تاریخ انتشار 2002