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Paper   IPM / M / 17609
School of Mathematics
  Title:   Positive solutions for semipositon $\Phi$-Laplacian involving nonlocal term in Orlicz-Sobolev space
  Author(s):  Abdolrahman Razani (Joint with G. M. Figueiredo)
  Status:   To Appear
  Journal: Differential and Integral Equations
  Supported by:  IPM
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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