Results 61 to 70 of about 1,619 (92)

Characteristic numbers of manifold bundles over spheres and positive curvature via block bundles

Forum of Mathematics, Sigma
Given 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
doaj   +1 more source

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
doaj   +1 more source

Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces

Advances in Nonlinear Analysis
We derive various sharp upper bounds for the pp-capacity of a smooth compact set KK in the hyperbolic space Hn{{\mathbb{H}}}^{n} and the Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Haizhong, Li Ruixuan, Xiong Changwei
doaj   +1 more source

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary

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
doaj   +1 more source

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
doaj   +1 more source

The second Yamabe invariant with boundary

Advances in Nonlinear Analysis
Let (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
doaj   +1 more source

Singular limiting solutions for elliptic problem involving exponentially dominated nonlinearity and convection term

Boundary Value Problems, 2011
Given Ω bounded open regular set of ℝ2 and x1, x2, ..., xm ∈ Ω, we give a sufficient condition for the problem to have a positive weak solution in Ω with u = 0 on ∂Ω, which is singular at each xi as the parameters &#
Abid Imed, Ouni Taieb, Trabelsi Nihed, Baraket Sami   +3 more
doaj  

Comparison formulas for total mean curvatures of Riemannian hypersurfaces

Advanced Nonlinear Studies
We 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
doaj   +1 more source

Topological tools for the prescribed scalar curvature problem on S n

Open Mathematics, 2014
Abuzaid Dina, Ben Mahmoud Randa, Chtioui Hichem, Rigane Afef   +3 more
doaj   +1 more source

Gene amplification in mesenchymal stem cells and during differentiation towards adipocytes or osteoblasts. [PDF]

Oncotarget, 2018
Altmayer NC, Galata V, Warschburger N, Keller A, Meese E, Fischer U.   +5 more
europepmc   +1 more source