Results 1 to 10 of about 7,729 (158)
On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow [PDF]
Analysis and Geometry in Metric Spaces, 2023 The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (M,g,e−ϕdVg,m)\left(M,g,{e}^{-\phi }{\rm{d}}{V}_{g},m), the ...
Ho Pak Tung, Shin Jinwoo
doaj +2 more sources
Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications [PDF]
Heliyon, 2019 In this paper local and global gradient estimates are obtained for positive solutions to the following nonlinear elliptic equationΔfu+p(x)u+q(x)uα=0, on complete smooth metric measure spaces (MN,g,e−fdv) with ∞-Bakry-Émery Ricci tensor bounded from below,
Abimbola Abolarinwa +2 more
doaj +2 more sources
On the bifurcation of solutions of the Yamabe problem in product manifolds with minimal boundary [PDF]
Advances in Nonlinear Analysis, 2018 In this paper, we study the multiplicity of solutions of the Yamabe problem on product manifolds with minimal boundary via bifurcation theory.
Cárdenas Diaz Elkin Dario +1 more
doaj +2 more sources
Discrete Yamabe Problem for Polyhedral Surfaces. [PDF]
Discrete Comput Geom, 2023 Dal Poz Kouřimská H.
europepmc +3 more sources
The non-linear Dirichlet problem and the CR Yamabe problem
Le Matematiche, 1999 See directly the ...
Nicola Garofalo, dimiter Vassilev
doaj +1 more source
A note on the Yamabe problem of Randers metrics [PDF]
AUT Journal of Mathematics and Computing, 2021 The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general.
Bin Chen, Siwei Liu
doaj +1 more source
Yamabe constant evolution and monotonicity along the conformal Ricci flow
AIMS Mathematics, 2022 We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For conformal Ricci flow metric g(t), t∈[0,T), the time evolution formula for the Yamabe constant Y(g(t)) is derived.
Yanlin Li +3 more
doaj +1 more source
Electronic Research Archive, 2022 We study the stability of compactness of solutions for the Yamabe boundary problem on a compact Riemannian manifold with non umbilic boundary. We prove that the set of solutions of Yamabe boundary problem is a compact set when perturbing the mean ...
Marco G. Ghimenti +1 more
doaj +1 more source
The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus
Advanced Nonlinear Studies, 2023 In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\mathbb{S}}}^{3} bounded by the Clifford torus Σ\Sigma is discussed.
Case Jeffrey S. +4 more
doaj +1 more source
Results in Applied Mathematics, 2021 We consider a nonlinear partial differential equation of Yamabe-type. In Boucheche (2019), it has been proved that the problem admits a solution under the assumption that the gradient of the associated variational functional is lower bounded by a ...
Khadijah Sharaf
doaj +1 more source