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Existence and Nonexistence Results for Classes of Singular Elliptic Problem

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Listed:
  • Peng Zhang
  • Jia-Feng Liao

Abstract

The singular semilinear elliptic problem −Δu + k(x)u−γ = λup in Ω, u > 0 in Ω, u = 0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ, p, λ are three positive constants. Some existence or nonexistence results are obtained for solutions of this problem by the sub‐supersolution method.

Suggested Citation

  • Peng Zhang & Jia-Feng Liao, 2010. "Existence and Nonexistence Results for Classes of Singular Elliptic Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:435083
    DOI: 10.1155/2010/435083
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    References listed on IDEAS

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    1. D. G. De Figueiredo & P. L. Lions & R. D. Nussbaum, 1982. "A Priori Estimates and Existence of Positive Solutions of Semilinear Elliptic Equations," Springer Books, in: David G. Costa (ed.), Djairo G. de Figueiredo - Selected Papers, edition 127, pages 133-155, Springer.
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