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Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents

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Abstract

In this article, we use the cone Sobolev inequality and Poincaré inequality to prove the existence theorem for a class of semilinear degenerate elliptic equation with critical cone Sobolev exponents on manifolds with conical singularities.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Hua Chen & Xiaochun Liu

  2. School of Mathematical Sciences, Nankai University, Tianjin, 300071, China

    Yawei Wei

Authors
  1. Hua Chen
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  2. Xiaochun Liu
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  3. Yawei Wei
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Correspondence to Xiaochun Liu.

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Chen, H., Liu, X. & Wei, Y. Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents. Ann Glob Anal Geom 39, 27–43 (2011). https://doi.org/10.1007/s10455-010-9226-0

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  • DOI: https://doi.org/10.1007/s10455-010-9226-0

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