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Soliton Solutions for a Singular Schrödinger Equation with Any Growth Exponents

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Abstract

This paper is concerned with a kind of quasilinear Schrödinger equation with combined nonlinearities, a convex term with any growth and a singular term, in a bounded smooth domain. Multiplicity results are obtained by critical point theory together with truncation arguments and the method of upper and lower solutions.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, 750021, People’s Republic of China

    Jiayin Liu

  2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, People’s Republic of China

    Jiayin Liu, Duchao Liu & Peihao Zhao

Authors
  1. Jiayin Liu
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  2. Duchao Liu
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  3. Peihao Zhao
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Corresponding author

Correspondence to Jiayin Liu.

Additional information

J. Liu supported by the Scientic Research Project for Colleges and Universities in Ningxia Hui Autonomous Region (No. NGY2016135) and the Research Starting Funds for Imported Talents of Beifang University of Nationalities.

D. Liu supported by Fundamental Research Funds for Central Universities (lzujbky-2014-25).

P. Zhao supported by the NSF of China (NSFC11471147).

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Liu, J., Liu, D. & Zhao, P. Soliton Solutions for a Singular Schrödinger Equation with Any Growth Exponents. Acta Appl Math 148, 179–199 (2017). https://doi.org/10.1007/s10440-016-0084-z

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  • DOI: https://doi.org/10.1007/s10440-016-0084-z

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