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Recent Submissions

Chlebicka, Iwona , Drábek, Pavel , Kalamajska, Agnieszka
Caccioppoli-type estimates and Hardy-type inequalities derived from weighted p-harmonic problems

We obtain Caccioppoli-type estimates for nontrivial and nonnegative solutions to anticoercive partial differential inequalities of elliptic type involving weighted p-Laplacian. Using Caccioppoli-type estimates, we obtain several variants of Hardy-type inequalities in weighted Sobolev spaces.

Bizzarri, Michal , Lávička, Miroslav , Vršek, Jan
Linear computational approach to interpolations with polynomial Minkowski Pythagorean hodograph curves

Methods using Pythagorean hodographs both in Euclidean plane and Minkowski space are often used in geometric modelling when necessary to solve the problem of rationality of offsets of planar domains. A main justification for studying and formulating approximation and interpolation algorithms ...

Fiala, Radovan , Kochová, Petra , Kubíková, Tereza , Cimrman, Robert , Tonar, Zbyněk , Špatenka, Jaroslav , Fabián, Ondřej , Burkert, Jan
Mechanical and structural properties of human aortic and pulmonary allografts do not deteriorate in the first 10 years of cryopreservation and storage in nitrogen

Background: The aortic and pulmonary allograft heart valves (AHV) are used in the cardiac surgery for replacing the impaired semilunar valves. They are harvested from donor hearts and cryostored in tissue banks. The expiration period was set to 5 years arbitrarily. We hypothesized ...

Bobkov, Vladimír , Drábek, Pavel , Ilyasov, Yavdat
On partially free boundary solutions for elliptic problems with non-lipschitz nonlinearities

We show that the elliptic equation with non-Lipschitz right-hand side, considered on a smooth star-shaped domain Ω subject to zero Dirichlet boundary conditions, might possess a nonnegative ground state solution which violates Hopf’s maximum principle only on a nonempty subset Γ of the&...

Bobkov, Vladimír , Takáč, Peter
On maximum and comparison principles for parabolic problems with the p-Laplacian

We investigate strong and weak versions of maximum and comparison principles for a class of quasilinear parabolic equations with the p-Laplacian ∂tu−Δpu=λ|u|p−2u+f(x,t) under zero boundary and nonnegative initial conditions on a bounded cylindrical domain Ω×(0,T), λ∈R, and f∈L∞(Ω×(0,T)). Several relat...