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Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity

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In this paper we consider the existence of weak positive solutions for an elliptic problems with the nonlinearity containing both singular and supercritical terms. By means of a priori estimate and sub-and supersolutions method, a positive weak solution is obtained.

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Acknowledgements

The first author is partially supported by the NSF of China (11626185) and NSF of Shaanxi Provincial Department of Education (16KJ1558) and the third author is partially supported by the NSF of China (51305144) and Education Office Foundation of Xian University of Technology (2015CX009).

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Authors and Affiliations

  1. School of Science, Xian University of Technology, Xian, 710054, Shanxi, People’s Republic of China

    Xing Wang, Xinqiang Qin & Gang Hu

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  1. Xing Wang
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  2. Xinqiang Qin
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  3. Gang Hu
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Correspondence to Xing Wang.

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Wang, X., Qin, X. & Hu, G. Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity. Anal.Math.Phys. 8, 43–55 (2018). https://doi.org/10.1007/s13324-016-0162-4

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  • DOI: https://doi.org/10.1007/s13324-016-0162-4

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