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<p>In this paper, by finite dimensional Lyapunov-Schmidt reduction methods, we prove the existence of concentrating solutions for a nonlocal problem involving the slightly subcritical non-power type nonlinearity on a bounded domain, under the assumption that a function defined by Green function and Robin function of the domain has multiple distinct critical points.</p>

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Multi-peak solutions for a fractional elliptic problem with slightly subcritical growth

  • 期刊论文

  • 发表日期：

    2025年2月13日

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  • Shengbing Deng,
  • Fang Yu

摘要

In this paper, by finite dimensional Lyapunov-Schmidt reduction methods, we prove the existence of concentrating solutions for a nonlocal problem involving the slightly subcritical non-power type nonlinearity on a bounded domain, under the assumption that a function defined by Green function and Robin function of the domain has multiple distinct critical points.