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Some notes about positive solutions of Δu+a(x)u+u (N+2)/(N−2)=0

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Abstract

In this paper, we prove that on a large class of bounded contractible and noncontractible domains with piecewise smooth boundary, there is at least one positive solution to Δu+a(x)u+u (N+2)/(N−2)=0 (N≥3) with zero Dirichlet boundary condition.

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, China

    Ma Li

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  1. Ma Li
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Li, M. Some notes about positive solutions of Δu+a(x)u+u (N+2)/(N−2)=0. Acta Mathematica Sinica 7, 342–347 (1991). https://doi.org/10.1007/BF02594890

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  • DOI: https://doi.org/10.1007/BF02594890

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