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We establish a continuous embedding ▫$W^{s(cdot),2}(Omega) hookrightarrow L^{alpha (cdot)}(Omega)$▫, where the variable exponent ▫$alpha(x)$▫ can be close to the critical exponent ▫$2_s^ast = frac{2N}{N-2bar{s}(x)}$▫, with ▫$bar{s}(x) = s(x,x)$▫ for all ▫$x in bar{Omega...

For a given graph $G$, the metric and edge metric dimensions of $G$, $\dim(G)$ and ${\rm edim}(G)$, are the cardinalities of the smallest possible subsets of vertices in $V(G)$ such that they uniquely identify the vertices and the edges of $G$, respectively, by means of...

Despite the increasing interest in constrained multiobjective optimization in recent years, constrained multiobjective optimization problems (CMOPs) are still unsatisfactory understood and characterized. For this reason, the selection of appropriate CMOPs for benchmarki...

This paper deals with the following degenerate fractional Kirchhoff-type system with magnetic fields and critical growth: ▫$$begin{aligned} left{ begin{array}{lll} -mathfrak{M}(Vert uVert _{s,A}^2)[(-Delta )^s_Au+u] = G_u(|x|,|u|^2,|v|^2) \ quad +left( mathcal{I}_mu *|u...

We introduce and analyze a variant of multivariate singular spectrum analysis (mSSA), a popular time series method to impute and forecast a multivariate time series. Under a spatio-temporal factor model we introduce, given $N$ time series and $T$ observations per time s...

In this work, we address the occurrence of infinite pinning in a random medium. We suppose that an initially flat interface starts to move through the medium due to some constant driving force. The medium is assumed to contain random obstacles. We model their positions ...

The canonical double cover $B(X)$ of a graph $X$ is the direct product of $X$ and $K_2$. If $Aut(B(X)) \cong Aut(X) \times \mathbb{Z}_2$ then $X$ is called stable; otherwise $X$ is called unstable. An unstable graph is nontrivially unstable if it is connected, non-bipar...

Cooper pairing and Coulomb repulsion are antagonists, producing distinct energy gaps in superconductors and Mott insulators. When a superconductor exchanges unpaired electrons with a quantum dot, its gap is populated by a pair of electron-hole symmetric Yu-Shiba-Rusinov...

Breaking spatial symmetry is an essential requirement for phoretic active particles to swim at low Reynolds number. This fundamental prerequisite for swimming at the micro scale is fulfilled either by chemical patterning of the surface of active particles or alternative...

The connected domination game is played just as the domination game, with an additional requirement that at each stage of the game the vertices played induce a connected subgraph. The number of moves in a D-game (an S-game, resp.) on a graph $G$ when both players play o...