Asymptotically linear system of three equations near resonance

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43929898" target="_blank" >RIV/49777513:23520/16:43929898 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0022039616302340" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0022039616302340</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2016.08.023" target="_blank" >10.1016/j.jde.2016.08.023</a>

Result language
angličtina
Original language name
Asymptotically linear system of three equations near resonance
Original language description
This paper deals with the asymptotically linear systemMINUS SIGN ?u1=??1u3+f1(?,x,u1,u2,u3)in ?MINUS SIGN ?u2=??2u2+f2(?,x,u1,u2,u3)in ?MINUS SIGN ?u3=??3u1+f3(?,x,u1,u2,u3)in ?u1=u2=u3=0on PARTIAL DIFFERENTIAL?,} where ?i>0 for i=1,2,3 with ?2NOT EQUAL TO?1?3, ? is a real parameter and ?SUBSET OFRN is a bounded domain with smooth boundary. The linear part of the system has two simple eigenvalues with nonnegative eigenfunctions each with at least one zero component. We provide sufficient conditions which guarantee bifurcation from infinity of positive solutions from both, one or none of the two simple eigenvalues. Under additional assumptions on the nonlinear perturbations, we determine the ?-direction of bifurcation as well. We use bifurcation theory to establish our results.
Czech name
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Czech description
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Type
J<sub>x</sub> - 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/GA13-00863S" target="_blank" >GA13-00863S: Semilinear and Quasilinear Differential Equations: Existence and Multiplicity Results</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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