Results 11 to 20 of about 7,599 (162)

Remarks on: Existence result for an elliptic equation involving critical exponent in three dimensional domains

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

Controlled Crystallographic Texture Orientation in Structural Materials Using the Laser Powder Bed Fusion Process—A Review

Advanced Engineering Materials, Volume 25, Issue 24, December 2023., 2023
The deliberate control of crystallographic texture in components using the laser powder bed fusion (LPBF) process is a material design and processing concept gaining interest in recent years. This review presents the influence of the LPBF process parameters on the melting mode, melt pool shape, texture, and microstructural evolution, and the effects of
Prince Valentine Cobbinah, Sae Matsunaga, Yoko Yamabe-Mitarai   +2 more
wiley   +1 more source

On harmonic and biharmonic maps from gradient Ricci solitons

Mathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023
Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley   +1 more source

Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems

Communications on Pure and Applied Mathematics, Volume 76, Issue 8, Page 1554-1607, August 2023., 2023
Abstract For a given finite subset S of a compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M\S such that each point of S corresponds to an asymptotically flat end and that the Schouten tensor of the ...
Yanyan Li, Luc Nguyen
wiley   +1 more source

Souplet–Zhang and Hamilton‐type gradient estimates for non‐linear elliptic equations on smooth metric measure spaces

Mathematika, Volume 69, Issue 3, Page 751-779, July 2023., 2023
Abstract In this article, we present new gradient estimates for positive solutions to a class of non‐linear elliptic equations involving the f‐Laplacian on a smooth metric measure space. The gradient estimates of interest are of Souplet–Zhang and Hamilton types, respectively, and are established under natural lower bounds on the generalised Bakry–Émery
Ali Taheri, Vahideh Vahidifar
wiley   +1 more source

Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem

Proceedings of the London Mathematical Society, Volume 127, Issue 1, Page 1-34, July 2023., 2023
Abstract We study the regularity of the viscosity solution u$u$ of the σk$\sigma _k$‐Loewner–Nirenberg problem on a bounded smooth domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$ for k⩾2$k \geqslant 2$. It was known that u$u$ is locally Lipschitz in Ω$\Omega$.
YanYan Li, Luc Nguyen, Jingang Xiong
wiley   +1 more source

Monopole metrics and the orbifold Yamabe problem [PDF]

, 2010
We consider the self-dual conformal classes on n#CP^2 discovered by LeBrun. These depend upon a choice of n points in hyperbolic 3-space, called monopole points.
Viaclovsky, Jeff
core   +2 more sources

A fully nonlinear version of the Yamabe problem and a Harnack type inequality [PDF]

, 2002
We present some results on a fully nonlinear version of the Yamabe problem and a Harnack type inequality for general conformally invariant fully nonlinear second order elliptic ...
Li, Aobing, Li, Yanyan
core   +4 more sources

A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics

Journal of Applied Mathematics, 2012
This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
doaj   +1 more source

Evolution of relative Yamabe constant under Ricci Flow [PDF]

, 2019
Let $W$ be a manifold with boundary $M$ given together with a conformal class $\bar C$ which restricts to a conformal class $C$ on $M$. Then the relative Yamabe constant $Y_{\bar C}(W,M;C)$ is well-defined.
Botvinnik, Boris, Lu, Peng
core   +1 more source