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On the dynamics of a mixed parabolic-gradient system
On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities
| 1. | Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain, Spain |
-div $( |x|^{-p\gamma}|\nabla u|^{p-2}\nabla u)=f(x, u)\in L^1(\Omega),\quad x\in \Omega$
$u(x)=0$ on $\partial \Omega,$
where $-\infty<\gamma<\frac{N-p}{p}$, $\Omega$ is a bounded domain in $\mathbb R^N$ such that $0\in\Omega$ and $f(x,u)$ is a Caratheodory function under suitable conditions that will be stated in each section.
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