Solution to a semilinear problem on type II regions determined by the Fucik spectrum

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F05%3A00000001" target="_blank" >RIV/49777513:23520/05:00000001 - 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

Solution to a semilinear problem on type II regions determined by the Fucik spectrum

Original language description

We prove the existence of solutions to the semi-linear problem u''+au^+ +bu^- = f where the point [a,b] falls in regions of type (II) between curves of the Fucik spectrum. We use a variational method based on the generalization of the Saddle Point Theor

Czech name

Řešení semilineárního problému v regionu typu II Fučíkova spektra

Czech description

Dokážeme existenci řešení semilineární úlohy u''+au^+ +bu^- = f, kde bod [a,b] leží v oblasti typu II mezi křivkami Fučíkova spektra. K důkazu využijeme větu o 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

<a href="/en/project/GA201%2F00%2F0376" target="_blank" >GA201/00/0376: Non-linear boundary value problems-existence and multiplicity results bifurcations</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

10

Pages from-to

1-10

UT code for WoS article

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EID of the result in the Scopus database

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