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Spectral Isoperimetric Inequality for the Delta' -Interaction on a Contour

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00542088" target="_blank" >RIV/61389005:_____/21:00542088 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-030-60453-0_10" target="_blank" >http://dx.doi.org/10.1007/978-3-030-60453-0_10</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-60453-0_10" target="_blank" >10.1007/978-3-030-60453-0_10</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectral Isoperimetric Inequality for the Delta' -Interaction on a Contour

  • Original language description

    We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive Delta'-interaction of a fixed strength, the support of which is a C2-smooth contour. Under the constraint of a fixed length of the contour, we prove that the lowest eigenvalue is maximized by the circle. The proof relies on the min-max principle and the method of parallel coordinates.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Springer INdAM Series

  • ISBN

    978-3-030-60452-3

  • Number of pages of the result

    13

  • Pages from-to

    215-227

  • Number of pages of the book

    450

  • Publisher name

    Springer

  • Place of publication

    Cham

  • UT code for WoS chapter