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Paper IPM / M / 17609 |
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Abstract: | |
In this paper, we show the existence of positive weak solution for a class of Dirichlet
semipositone Kirchhoff type problem, possibly degenerate, nonlocal term
\[
-M(\int\limits_\Omega \Phi(u) dx )\Delta_\Phi(u)=f(u)-a\ \text{in}\ \Omega,
\]
where
$\Omega\subset \mathbb{R}^N$ is a smooth bounded domain, $f:[0,+\infty)\to \mathbb{R}$ is
a continuous function with subcritical growth and $a > 0$ is small enough.
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