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61. Classifying homogeneous cellular ordinal balleans up to coarse equivalence
Taras Banakh, Igorʹ Vladimirovič Protasov, Dušan Repovš, Sergiy Slobodianiuk, 2017, original scientific article

Keywords: coarse space, ballean, cellular ballean, ordinal ballean, homogeneous ballean, coarse equivalence, cellular entourage, asymptotic dimension, Cantor macro-cube
Full text (file, 600,69 KB)

62. Sequential rectifiable spaces of countable cs[ast]-character
Taras Banakh, Dušan Repovš, 2017, original scientific article

Keywords: rectifiable space, sequential space, $k_\omega$-space, cs*-character, topological loop, topological left-loop, topological lop
Full text (file, 643,48 KB)

63. Simply connected 3-manifolds with a dense set of ends of specified genus
Dennis Garity, Dušan Repovš, 2017, original scientific article

Keywords: 3-manifold set, wild Cantor set, local genus, defining sequence, exhaustion, end
Full text (file, 739,97 KB)

64. New techniques for computing geometric index
Kathryn B. Andrist, Dennis Garity, Dušan Repovš, David Wright, 2017, original scientific article

Keywords: algebraic index, geometric index, Whitehead link, Bing link, McMillan link, Gabai link, Antoine link
Full text (file, 630,05 KB)

65. On the Alexandroff-Borsuk problem
Matija Cencelj, Umed H. Karimov, Dušan Repovš, 2017, original scientific article

Keywords: ANR, finite polyhedron, homotopy equivalence, ▫$\varepsilon$▫-map, cellular map, almost-smooth manifold, ▫$|E_8|$▫-manifold, Kirby-Siebenmann class, Galewski-Stern obstruction, non-triangulable manifold, Alexandroff-Borsuk Manifold Problem
Full text (file, 563,72 KB)

66. Nonlinear elliptic equations on Carnot groups
Massimiliano Ferrara, Giovanni Molica Bisci, Dušan Repovš, 2017, original scientific article

Keywords: subelliptic equation, Carnot group, weak solution, critical point result, Heisenberg group, Folland-Stein space
Full text (file, 615,29 KB)

67. Yamabe-type equations on Carnot groups
Giovanni Molica Bisci, Dušan Repovš, 2017, original scientific article

Keywords: subelliptic equation, critical problem, Carnot group, existence result, variational methods
Full text (file, 630,62 KB)

68. Multiple solutions of nonlinear equations involving the square root of the Laplacian
Giovanni Molica Bisci, Dušan Repovš, Luca Vilasi, 2017, original scientific article

Keywords: fractional Laplacian, variational method, multiple solutions
Full text (file, 623,13 KB)

69. Nonlinear problems on the Sierpiński gasket
Giovanni Molica Bisci, Dušan Repovš, Raffaella Servadei, 2017, original scientific article

Keywords: Sierpiński gasket, fractal domains, nonlinear elliptic equation, weak Laplacian
Full text (file, 604,23 KB)

70. On a class of parametric (p, 2)-equations
Nikolaos Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš, 2017, original scientific article

Keywords: near resonance, local minimizer, critical group, constant sign and nodal solutions, nonlinear maximum principle
Full text (file, 711,21 KB)
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