Flat core properties associated to the $p$-Laplace operator
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- by Shoshana Kamin and Laurent VĂ©ron PDF
- Proc. Amer. Math. Soc. 118 (1993), 1079-1085 Request permission
Abstract:
We study the formation of a flat hat pattern in the profile of the positive solution of an equation of the type: $\varepsilon {\Delta _p}u - {u^{p - 1}}{(1 - u)^\theta } = 0\;(0 < \theta < p - 1)$ in a bounded domain $\Omega$. When $\varepsilon$ tends to ${0^ + }$, the growth of the zone where $u = {u_\varepsilon }$ takes the value $1$ in $\Omega$ is studied.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 1079-1085
- MSC: Primary 35J60; Secondary 35J70
- DOI: https://doi.org/10.1090/S0002-9939-1993-1139470-9
- MathSciNet review: 1139470