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A perturbation method for multiple sign-changing solutions

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Abstract

We develop a perturbation method for non-even functionals which produces prescribed number of sign-changing solutions. The abstract theory is applied to the perturbed subcritical elliptic equation and the perturbed Brézis–Nirenberg critical exponent problem.

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Authors and Affiliations

  1. Graduate School of Environment and Information Science, Yokohama National University, Tokiwadai, Yokohama, Japan

    N. Hirano

  2. Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China

    W. Zou

Authors
  1. N. Hirano
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  2. W. Zou
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Corresponding author

Correspondence to W. Zou.

Additional information

Communicated by A. Malchiodi.

N. Hirano was supported in part by Yokohama Indus. Soc. and W. Zou was supported by NSFC (10871109) and Yokohama Indus. Soc.

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Hirano, N., Zou, W. A perturbation method for multiple sign-changing solutions. Calc. Var. 37, 87–98 (2010). https://doi.org/10.1007/s00526-009-0253-2

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  • DOI: https://doi.org/10.1007/s00526-009-0253-2

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