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<p>This article concerns the existence and multiplicity of multi-bump type nodal solutions for a class of fractional <i>p</i>-Laplacian Schrödinger equations involving logarithmic nonlinearity and deepening potential well. We apply suitable variational arguments to show that the equation has at least <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(2^{k}-1\)</EquationSource> </InlineEquation> multi-bump type nodal solutions as the parameter becomes large enough.</p>

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Multi-bump Type Nodal Solutions for a Fractional p-Laplacian Logarithmic Schrödinger Equation with Deepening Potential Well

  • 期刊论文

  • 发表日期：

    2025年10月28日

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  • Lin Li,
  • Huo Tao,
  • Patrick Winkert

摘要

This article concerns the existence and multiplicity of multi-bump type nodal solutions for a class of fractional p-Laplacian Schrödinger equations involving logarithmic nonlinearity and deepening potential well. We apply suitable variational arguments to show that the equation has at least \(2^{k}-1\) multi-bump type nodal solutions as the parameter becomes large enough.