This analysis uncovers existence criteria and solution behaviors in fast diffusion scenarios, suggesting potential applications in mathematical physics.
In this work, we study a class of fast diffusion Kirchhoff-type p-Laplace equation with logarithmic nonlinearity. Under appropriate conditions, by applying energy estimates in combination with the Galerkin method and Sobolev inequality, we establish the global existence of solutions. Moreover, we analyze the criteria for the extinction and non-extinction of these solutions.
No takes yet. Share an insight, caveat, or question.
Talibi et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: