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math.AP2016★ 4 cited
Caccioppoli--type estimates and Hardy--type inequalities derived from degenerated --harmonic problems
Pavel Drábek, Agnieszka Kałamajska, Iwona Skrzypczak
We obtain Caccioppoli--type estimates for nontrivial and nonnegative solutions to the anticoercive partial differential inequalities of elliptic type involving degenerated --Lap…
math.AP2016
Convergence to traveling waves in the Fisher-Kolmogorov equation with a non-Lipschitzian reaction term
Pavel Drábek, Peter Takáč
We consider the semi linear Fisher-Kolmogorov-Petrovski-Piscounov equation for the advance of an advantageous gene in biology. Its non-smooth reaction function allows for th…