3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2025
Application of Hardy inequalities for some singular parabolic equations
N. Kutev, T. Rangelov
Boundary value problems for non-linear parabolic equations with singular potentials are considered. Existence and non-existence results as an application of different Hardy inequal…