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math.AP2013★ 5 cited
Stability properties for quasilinear parabolic equations with measure data and applications
Marie-Françoise Bidaut-Véron, Hung Nguyen Quoc
Let be a bounded domain of , and We first study the problem \[ \left\{ \begin{array} [c]{l}% {u_{t}}-{Δ_{p}}u=μ\qquad\text{in }Q,\\ {u}=0\qqua…
math.AP2013★ 2 cited
Quasilinear Lane-Emden equations with absorption and measure data
Marie-Françoise Bidaut-Véron, Hung Nguyen Quoc, Laurent Veron
We study the existence of solutions to the equation $-\Gd_pu+g(x,u)=μ$ when is a nondecreasing function and $\gm$ a measure. We characterize the good measures, i.e. the on…