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Potential Landesman-Lazer type condition and Fučík spectrum

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F05%3A00000233" target="_blank" >RIV/49777513:23520/05:00000233 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Potential Landesman-Lazer type condition and Fučík spectrum

  • Original language description

    We prove the existence of solutions to the nonlinear problem $$displaylines{ u''(x)+lambda_+ u^+(x)-lambda_- u^-(x)+g(x,u(x))=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $[lambda_+,lambda_-]$ is a point of the Fuv{c}'{

  • Czech name

    Potenciální Landesman-Lazerovy podmínky a Fučíkovo spektrum

  • Czech description

    Dokážeme existenci řešení nelineárního problému u''(x)+lambda_+ u^+(x)-lambda_- u^-(x)+g(x,u(x))=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0, kde bod [lambda_+,lambda_-] je bodem Fučíkova spektra a nelinearita g splňuje potenciální Landesman-Lazero

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2005

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Function spaces, differential operators and nonlinear analysis

  • ISBN

    80-85823-52-7

  • ISSN

  • e-ISSN

  • Number of pages

    16

  • Pages from-to

    355-370

  • Publisher name

    Mathematical Institute of the Academy of Sciences of the Czech Republic

  • Place of publication

    Praha

  • Event location

    Milovy

  • Event date

    May 28, 2004

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article