Global bifurcation of positive solutions for a class of superlinear elliptic systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43929902" target="_blank" >RIV/49777513:23520/16:43929902 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0022039616302091" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0022039616302091</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2016.08.005" target="_blank" >10.1016/j.jde.2016.08.005</a>

Result language
angličtina
Original language name
Global bifurcation of positive solutions for a class of superlinear elliptic systems
Original language description
We consider a system of semilinear equations of the formMINUS SIGN ?u=?f(v)in?;MINUS SIGN ?v=?g(u)in?;u=0=vonPARTIAL DIFFERENTIAL?,} where ?ELEMENT OFR is the bifurcation parameter, ?SUBSET OFRN; NGREATER-THAN OR EQUAL TO2 is a bounded domain with smooth boundary PARTIAL DIFFERENTIAL?. The nonlinearities f,g:RRIGHTWARDS ARROW(0,+oo) are nondecreasing continuous functions that have superlinear growth at infinity. We use bifurcation theory, combined with an approximation scheme, to establish the existence of an unbounded branch of positive solutions, emanating from the origin, which is bounded in positive ?-direction. If in addition, ? is convex and f,gELEMENT OFC1 satisfy certain subcriticality condition, we show that the branch must bifurcate from infinity at ?=0.
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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