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math.AP2018
On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities
Vladimir Bobkov, Pavel Drábek, Yavdat Ilyasov
We show that the elliptic equation with a non-Lipschitz right-hand side, with and , considered on a smooth star-shaped domain su…
math.AP2018
Estimates on the spectral interval of validity of the anti-maximum principle
Vladimir Bobkov, Pavel Drabek, Yavdat Il'yasov
The anti-maximum principle for the homogeneous Dirichlet problem to with positive states the existence of a critical value $λ_f >…
math.AP2018
Travelling waves in the Fisher-KPP equation with nonlinear diffusion and a non-Lipschitzian reaction term
Pavel Drabek, Peter Takac
We consider a one-dimensional reaction-diffusion equation of Fisher-Kolmogoroff-Petrovsky-Piscounoff type. We investigate the effect of the interaction between the nonlinear diffus…