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<p>By utilizing constrained variational methods and analytical techniques, we investigate the existence of normalized solutions to a class of (<i>p</i>,&#xa0;<i>q</i>)-Laplacian equations with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>-constraint, where the nonlinearity satisfies distinct weak mass supercritical conditions. Our results generalize and complement several known results in the literature. In particular, this work extends the existing results of Chen and Tang (J. Differ. Equ. 386 (2024) 435-479) and Jin and Tang (Appl. Math. Lett. 160 (2025) 109329) to the (<i>p</i>,&#xa0;<i>q</i>)-Laplacian setting.</p>

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Normalized solutions to a class of (p, q)-Laplacian equations

  • 期刊论文

  • 发表日期：

    2025年12月10日

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  • Liu Gao,
  • Zhong Tan

摘要

By utilizing constrained variational methods and analytical techniques, we investigate the existence of normalized solutions to a class of (p, q)-Laplacian equations with \(L^p\) L p -constraint, where the nonlinearity satisfies distinct weak mass supercritical conditions. Our results generalize and complement several known results in the literature. In particular, this work extends the existing results of Chen and Tang (J. Differ. Equ. 386 (2024) 435-479) and Jin and Tang (Appl. Math. Lett. 160 (2025) 109329) to the (p, q)-Laplacian setting.