Results 51 to 60 of about 97 (96)
On Singular Liouville Equations and Systems
Advanced Nonlinear Studies, 2017 We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
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Characteristic numbers of manifold bundles over spheres and positive curvature via block bundles
Forum of Mathematics, SigmaGiven a simply connected manifold M, we completely determine which rational monomial Pontryagin numbers are attained by fiber homotopy trivial M-bundles over the k-sphere, provided that k is small compared to the dimension and the connectivity of M ...
Georg Frenck, Jens Reinhold
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Sobolev-Kantorovich Inequalities
Analysis and Geometry in Metric Spaces, 2015 In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich ...
Ledoux Michel
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
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Resolvent Flows for Convex Functionals and p-Harmonic Maps
Analysis and Geometry in Metric Spaces, 2015 We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such ...
Kuwae Kazuhiro
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The second Yamabe invariant with boundary
Advances in Nonlinear AnalysisLet (M,∂M,g)\left(M,\partial M,g) be a compact Riemannian manifold with boundary. As a generalization of the Yamabe invariant with boundary Y(M,∂M,g)Y\left(M,\partial M,g), we define the kth Yamabe invariant with boundary Yk(M,∂M,g){Y}_{k}\left(M ...
Ho Pak Tung, Pyo Juncheol
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Isoperimetric problems and lower bounds on curvature
Analysis and Geometry in Metric SpacesThis note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at the European Doctorate School of Differential Geometry (Granada, July ...
Antonelli Gioacchino
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Comparison formulas for total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear StudiesWe devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds.
Ghomi Mohammad
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Topological tools for the prescribed scalar curvature problem on S n
Open Mathematics, 2014 Abuzaid Dina +3 more
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Gene amplification in mesenchymal stem cells and during differentiation towards adipocytes or osteoblasts. [PDF]
Oncotarget, 2018 Altmayer NC +5 more
europepmc +1 more source