Existence and uniqueness of singular solutions of 𝑝-Laplacian with absorption for Dirichlet boundary condition

Dao, Nguyen; Díaz, Jesus

doi:10.1090/proc/13647

Existence and uniqueness of singular solutions of $p$-Laplacian with absorption for Dirichlet boundary condition
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by Nguyen Anh Dao and Jesus Ildefonso Díaz PDF

Proc. Amer. Math. Soc. 145 (2017), 5235-5245 Request permission

Abstract:

In this paper, we consider the existence and uniqueness of singular solutions of degenerate parabolic equations with absorption for zero homogeneous Dirichlet boundary condition. Moreover, we also get some estimates of the short time behavior of singular solutions.

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