Katedra matematiky / Department of Mathematics


Recent Submissions

Chhetri, Maya , Drábek, Pavel , Shivaji, Ratnashingham
Influence of singular weights on the asymptotic behavior of positive solutions for classes of quasilinear equations

Main objective of this paper is to study positive decaying solutions for a class of quasilinear problems with weights. We consider one dimensional problems on an interval which may be finite or infinite. In particular, when the interval is infinite, unlike the known cases in&#...

Chhetri, Maya , Girg, Petr , Hollifield, Elliott
Existence of positive solutions for fractional Laplacian equations: theory and numerical experiments

We consider a class of nonlinear fractional Laplacian problems satisfying the homogeneous Dirichlet condition on the exterior of a bounded domain. We prove the existence of positive weak solution for classes of sublinear nonlinearities including logistic type. A method of sub- and super...

Feng, Yan-Quan , Hu, Kan , Nedela, Roman , Škoviera, Martin , Wang, Na-Er
Complete regular dessins and skew-morphisms of cyclic groups

A dessin is a 2-cell embedding of a connected 2-coloured bipartite graph into an orientable closed surface. A dessin is regular if its group of orientation- and colour-preserving automorphisms acts regularly on the edges. In this paper we study regular dessins whose underlying grap...

Čada, Roman , Ozeki, Kenta , Yoshimoto, Kiyoshi
A complete bipartite graph without properly colored cycles of length four

The paper gives a global decomposition theorem for edge‐colorings of complete bipartite graphs without properly colored C4. As a corollary, a result on the existence of a monochromatic star is obtained.

Chhetri, Maya , Girg, Petr
Some bifurcation results for fractional Laplacian problems

We consider a nonlocal problem with the fractional Laplacian operator on a bounded domain with smooth boundary and depending on a bifurcation parameter near resonance at the principal eigenvalue. The nonlinear perturbation is sublinear at infinity. We use bifurcation theory to establish ...