Stability of ground states for a nonlinear parabolic equation

We consider the Cauchy-problem for the parabolic equation $$ u_t = \Delta u+ f(u,|x|), $$ where $x \in \mathbb R^n$, $n >2$, and $f(u,|x|)$ is either critical or supercritical with respect to the Joseph-Lundgren exponent. In particular, we improve and generalize some known results concernin...

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Bibliographic Details
Main Authors: Luca Bisconti, Matteo Franca
Format: Article
Language:English
Published: Texas State University 2018-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/151/abstr.html