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Multiple solutions for semilinear elliptic equations in unbounded cylinder domains

  • Tsing-San Hsu (a1)

Abstract

In this paper, we show that if b(x) ≥ b > 0 in Ω̄ and there exist positive constants C, δ, R0 such that where x = (y, z) ∈ RN with yRm, zRn, N = m + n ≥ 3, m ≥ 2, n ≥ 1, 1 < p < (N + 2)/(N − 2), ω ⊆ Rm a bounded C1,1 domain and Ω = ω × Rn, then the Dirichlet problem −Δu + u = b(x)|u|p−1u in Ω has a solution that changes sign in Ω, in addition to a positive solution.

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Multiple solutions for semilinear elliptic equations in unbounded cylinder domains

  • Tsing-San Hsu (a1)

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