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- W2271378319 abstract "In this paper, we study the existence of solution for the following class of nonlocal problem, $$ left{ begin{array}{lcl} -Delta u=left(lambda f(x)-int_{R^N}K(x,y)|u(y)|^{gamma}dyright)u,quad mbox{in} quad R^{N}, displaystyle lim_{|x| to +infty}u(x)=0,quad u>0 quad text{in} quad R^{N}, end{array} right. eqno{(P)} $$ where $Ngeq3$, $lambda >0, gammain[1,2)$, $f:RrightarrowR$ is a positive continuous function and $K:R^NtimesR^NrightarrowR$ is a nonnegative function. The functions $f$ and $K$ satisfy some conditions, which permit to use Bifurcation Theory to prove the existence of solution for problem $(P)$." @default.
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- W2271378319 date "2015-09-17" @default.
- W2271378319 modified "2023-09-27" @default.
- W2271378319 title "Existence of solution for a nonlocal problem in $R^N$ via bifurcation theory" @default.
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