Potential Landesman-Lazer type conditions and the Fucik spectrum

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F05%3A00000393" target="_blank" >RIV/49777513:23520/05:00000393 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Potential Landesman-Lazer type conditions and the Fucik spectrum

Original language description

We prove the existence of solutions to the nonlinear problem u''+lambda_+u^+ +lambda_-u^-+g(x,u)=f where the point [lambda_+,lambda_] is a point of the Fucik spectrum and the nonlinearity g satisfies a potential Landesman-Lazer type condition. We usea variational method based on the generalization of the Saddle Point Theorem.

Czech name

Landesman-Lazerovy podmínky a Fučíkovo spektrum

Czech description

Dokážeme existenci řešení nelineární úlohy u''+lambda_+u^+ +lambda_-u^-+g(x,u)=f, kde bod [lambda_+,lambda_] je bodem Fučíkova spektra a nelinearita g splňuje potenciální Landesma-Lazerovy podmínky. K důkazu využijeme variační metody založené na větěo sedlovém bodu.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2005

Confidentiality

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

Name of the periodical

Electronic Journal of Differential Equations

ISSN

1072-6691

e-ISSN

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Volume of the periodical

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Issue of the periodical within the volume

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Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

1

UT code for WoS article

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EID of the result in the Scopus database

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