Singular curve and critical curve for doubly nonlinear Lane–Emden type equations

This paper is concerned with singular curve and critical curve for the periodic doubly nonlinear Lane–Emden type equation ∂u∂t−div(|∇um|p−2∇um)=a(x,t)uq. In 2010, under a convex assumption on the domain Ω, Wang et al. (2010) considered a partial case of p−1

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2021-09, Vol.44 (13), p.10304-10320
Main Authors: Huang, Haochuan, Huang, Rui, Yin, Jingxue
Format: Article
Language:English
Subjects:
critical curve
Domains
Lane–Emden equation
singular curve
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Summary:This paper is concerned with singular curve and critical curve for the periodic doubly nonlinear Lane–Emden type equation ∂u∂t−div(|∇um|p−2∇um)=a(x,t)uq. In 2010, under a convex assumption on the domain Ω, Wang et al. (2010) considered a partial case of p−1
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7408