4 papers
Nonlinear parabolic problem with time fractional derivative
Nikolai Kutev, Tsviatko Rangelov
Time fractional parabolic problem for p-Laplacian with double singular Hardy-type potential is considered. Comparison principle and appriory estimates for the weak solutions are pr…
Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs
Tsviatko V. Rangelov, George D. Manolis, Petia S. Dineva
This paper presents an analytical derivation of a frequency-dependent fundamental solution plus a Green's function for the uni-dimensional, hexagonal quasicrystal sheet subjected t…
Sharp Hardy inequalities in an exterior of a ball
Nikolai Kutev, Tsviatko Rangelov
New Hardy type inequalities in sectorial area and as a limit in an exterior of a ball are proved. Sharpness of the inequalities is shown as well.
Hardy inequalities with double singular weights
Nikolai Kutev, Tsviatko Rangelov
The aim of this paper is to obtain new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. These inequalities give us the poss…