V.13 N.1 2022

  • STEKLOV INEQUALITY AND ITS APPLICATION
    SH.M. NASIBOV (pp. 10-15)

    • Abstract.

    In this paper, one lower estimate for the first eigenvalue of the Laplace operator is obtained. To this end, a Steklov-type inequality for bounded and unbounded domains with a finite measure in proved based on the Sobolev inequality.

    Keywords:

    first eigenvalue of Laplace operator, lower bound, Sobolev inequality, Steklov inequality, lack of eigenfunctions of Laplace operator.

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