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- W2501761519 abstract "In this paper we study the existence of solution for the following class of system of elliptic equations $$ left{ begin{array}{lcl} -Delta u=left(a-int_{Omega}K(x,y)f(u,v)dyright)u+bv,quad mbox{in} quad Omega -Delta v=left(d-int_{Omega}Gamma(x,y)g(u,v)dyright)v+cu,quad mbox{in} quad Omega u=v=0,quad mbox{on} quad partialOmega end{array} right. eqno{(P)} $$ where $OmegasubsetR^N$ is a smooth bounded domain, $Ngeq1$, and $K,Gamma:OmegatimesOmegarightarrowR$ is a nonnegative function checking some hypotheses and $a,b,c,dinR$. The functions $f$ and $g$ satisfy some conditions which permit to use Bifurcation Theory to prove the existence of solution for $(P)$." @default.
- W2501761519 created "2016-08-23" @default.
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- W2501761519 date "2016-07-15" @default.
- W2501761519 modified "2023-10-01" @default.
- W2501761519 title "Existence of positive solution for a system of elliptic equations via bifurcation theory" @default.
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