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Asymptotic behavior of solutions of a biharmonic Dirichlet problem with large exponents

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Abstract

We analyze blow-up phenomena of bounded integrable solutions of a semilinear fourth order elliptic problem with a large exponent under Dirichlet boundary conditions. We extend the results obtained by Ren-Wei in [26] and [27] to the biharmonic case.

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Authors and Affiliations

  1. School of Mathematics and Statistics, The University of Sydney, Sydney, NSW, 2006, Australia

    Sanjiban Santra

  2. Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, China

    Juncheng Wei

Authors
  1. Sanjiban Santra
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  2. Juncheng Wei
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Correspondence to Juncheng Wei.

Additional information

Supported by an ARC grant DP0984807.

Supported by a General Research Fund from RGC of Hong Kong and a direct grant from CUHK.

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Santra, S., Wei, J. Asymptotic behavior of solutions of a biharmonic Dirichlet problem with large exponents. JAMA 115, 1–31 (2011). https://doi.org/10.1007/s11854-011-0021-z

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  • DOI: https://doi.org/10.1007/s11854-011-0021-z

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