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In this paper, we consider the p-Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity. By using the potential well method and a logarithmic Sobolev inequality, we prove global existence, infinite time blow up and asymptotic behavior of solutions in two cases E(0) < d and $E(0) = d$. Furthermore, the infinite time blow up of solutions for the problem with E(0) > 0 (ω = 0) is studied.
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Boumaza et al. (2022) studied this question.
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