Consider the Neumman boundary value problem of the stable Cahn-Hilliardequation -Δ(-Δu+f(u))=g. Under an additional condition(1-Ω)∫nudx=a, we prove thatfor every α∈R1 and g(g is given in some appropriate space),the problem has at least one solution.Moreover,for every α∈R1,the problem has at most finite number of solutions for almost all g.%本文考虑具快速增长非线性的定态Cahn-Hilliard方程的Neumman边值问题:-△(-△u+f(u))=g,(1-Ω)∫nudx=a证明了解的存性和遍历有限性.
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