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Existence results of positive solutions for Kirchhoff type equations via bifurcation methods. (arXiv:1710.02120v1 [math.AP])
来源于:arXiv
In this paper we address the following Kirchhoff type problem
\begin{equation*}
\left\{ \begin{array}{ll}
-\Delta(g(|\nabla u|_2^2) u + u^r) = a u + b u^p& \mbox{in}~\Omega, u>0&
\mbox{in}~\Omega, u= 0& \mbox{on}~\partial\Omega,
\end{array} \right. \end{equation*} in a bounded and smooth domain $\Omega$
in ${\rm I}\hskip -0.85mm{\rm R}$. By using change of variables and bifurcation
methods, we show, under suitable conditions on the parameters $a,b,p,r$ and the
nonlinearity $g$, the existence of positive solutions. 查看全文>>
