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<p>In this paper, we obtain lower estimates for the first Dirichlet eigenvalue of the singular <i>p</i>-Laplace operator in conformal regular Brennan domains <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Omega \subset \mathbb R^2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Ω</mi> <mo>⊂</mo> <msup> <mi mathvariant="double-struck">R</mi> <mn>2</mn> </msup> </mrow> </math></EquationSource> </InlineEquation>. The suggested method is based on the conformal analysis of the elliptic operators. This method allows to obtain the spectral estimates in such domains.</p>

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SPECTRAL ESTIMATES FOR THE TWO-DIMENSIONAL SINGULAR p-LAPLACE DIRICHLET OPERATOR

  • 期刊论文

  • 发表日期：

    2025年11月4日

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  • Charaf Eddine Deneche,
  • Valerii Pchelintsev

摘要

In this paper, we obtain lower estimates for the first Dirichlet eigenvalue of the singular p-Laplace operator in conformal regular Brennan domains \(\Omega \subset \mathbb R^2\) Ω ⊂ R 2 . The suggested method is based on the conformal analysis of the elliptic operators. This method allows to obtain the spectral estimates in such domains.