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Solutions for a class of singular nonlinear boundary value problem involving critical exponent

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Abstract

In this paper, we consider the existence of multiple solutions for a class of singular nonlinear boundary value problem involving critical exponent in Weighted Sobolev Spaces. The existence of two solutions is established by using the Ekeland Variational Principle. Meanwhile, the uniqueness of positive solution for the same problem is also obtained under different assumptions.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China

    Yin-bin Deng & Li Wang

Authors
  1. Yin-bin Deng
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  2. Li Wang
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Correspondence to Yin-bin Deng.

Additional information

Supported by the National Natural Science Foundation of China (No. 10631030) and the PhD Sepecialized grant of Ministry of Education of China (No. 20060511001)

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Deng, Yb., Wang, L. Solutions for a class of singular nonlinear boundary value problem involving critical exponent. Acta Math. Appl. Sin. Engl. Ser. 24, 453–472 (2008). https://doi.org/10.1007/s10255-008-8058-1

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  • DOI: https://doi.org/10.1007/s10255-008-8058-1

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