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...

We present algorithms for reconstructing, up to unavoidable projective automorphisms, surfaces with ordinary singularities in three-dimensional space starting from their silhouette, or "apparent contour"-namely, the branching locus of a projection on the plane-and the projection of their singular ...

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 ...

Aim: The retrospective study aims to confirm/disprove the relationship between selected parameters and their change during the treatment and retention phase, and the repeated opening of extraction spaces in patients treated with four premolars extraction. Material: The sample comprised 42 pa...

In this paper, we propose several approaches for automatic construction of planar multi-patch B-spline parameterizations around one or between two consecutive blade profiles in a blade cascade starting from given design parameters (blade cascade is obtained by unfolding a cylindrical cross-sectio...

In this paper we introduce S-packing chromatic vertex-critical graphs, chi_S-critical for short,as the graphs G in which chi_S(G-u)<chi_S(G) for every vertex u of G. We show that a set of differences between chi_S(G) and chi_S(G-u) can be almost arbitrary. If G is chi_S-critical ...

IIn this paper we select two tools of investigation of the classical metric regularity of set-valued mappings, namely the Ioffe criterion and the Ekeland Variational Principle, which we adapt to the study of the directional setting. In this way, we obtain in a unitary manner&#...

Influenced by a recent note by M. Ivanov and N. Zlateva, we prove a statement in the style of Nash-Moser-Ekeland theorem for mappings from a Fréchet-Montel space with values in any Fréchet space (not necessarily standard). The mapping under consideration is supposed to be cont...

We study various regularity properties, including subregularity and semiregularity, of set-valued mappings acting in extended quasi-metric spaces. It turns out that this abstract framework allows to unify criteria for the usual (sub/semi) regularity as well as their directional and Hölder co...

Accuracy of groundwater storage (GWS) estimates from the Gravity Recovery and Climate Experiment (GRACE) mission usually has certain relations with hydrological models. This study develops a statistical selection approach to optimally estimate GWS from GRACE using two hydrological models: the Glo...

The global sports industry is extremely competitive. We focus on ice hockey and propose a (largely) costless reform to its operations that can potentially enhance the sport's popularity by increasing the number of goals. The reform optimizes a logistic convention on the use of&...

We study the existence and multiplicity of nonnegative solutions, as well as the behavior of corresponding parameter-dependent branches, to the equation −Δu = (1 − u)um − λun in a bounded domain Ω ⊂ RN endowed with the zero Dirichlet boundary data, where 0 < m ≤&#...

For k≥1 and n≥2k, the Kneser graph KG(n,k) has all k-element subsets of an n-element set as vertices; two such subsets are adjacent if they are disjoint. It was first proved by Lovász that the chromatic number of KG(n,k) is n−2k+2. Schrijver constructed a vertex-critical ...

We investigate the interval of validity for anti-maximum principle for quasilinear operator involving the p-Laplacian.