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5 papers · 1 filter
Nontrivial solutions for semilinear elliptic systems via Orlicz-Sobolev theory
Fei Fang
In this paper, the semilinear elliptic systems with Dirichlet boundary value are considered \begin{align} \left\{\begin{array}{ll} -Δv=f(u) & \mathrm{in}\ Ω, -Δu=g(v) & \mathrm{in}…
The Dijkgraaf-Witten invariants of Seifert 3-manifolds with orientable bases
Haimiao Chen
We derive a formula for the Dijkgraaf-Witten invariants of orientable Seifert 3-manifolds with orientable bases.
Computing untwisted Dijkgraaf-Witten invariants for arborescent links
Haimiao Chen
We briefly review 3-dimensional untwisted Dijkgraaf-Witten theory over a finite group , and present a method of computing untwisted Dijkgraaf-Witten invariants for arborescent l…
Linked Partitions and Permutation Tableaux
William Y. C. Chen, Lewis H. Liu, Carol J. Wang
Linked partitions are introduced by Dykema in the study of transforms in free probability theory, whereas permutation tableaux are introduced by Steingrímsson and Williams in the s…
Counting homotopy classes of mappings via Dijkgraaf-Witten invariants
Haimiao Chen
Suppose is a finite group acting freely on ( being odd) and is any closed oriented -manifold. We show that, given an integer , the set $°^{-1}(k…