Zobrazeno 1 - 10
of 54
pro vyhledávání: '"35J60 - 58J05"'
This manuscript is concerned with the approximate controllability of fractional nonlinear differential equations with nonlocal conditions of order $1
Externí odkaz:
http://arxiv.org/abs/2411.10766
Autor:
George, Mathew
A complex Monge-Amp\`ere equation for differential $(p,p)$ forms is introduced on compact K\"ahler manifolds. For any $1 \leq p < n$, we show the existence of smooth solutions unique up to adding constants. For $p=1$, this corresponds to the Calabi-Y
Externí odkaz:
http://arxiv.org/abs/2411.06497
Autor:
Turnquist, Axel G. R.
We focus on Optimal Transport PDE on the unit sphere $\mathbb{S}^2$ with a particular type of cost function $c(x,y) = F(x \cdot y, x \cdot \hat{e}, y \cdot \hat{e})$ which we call cost functions with preferential direction, where $\hat{e} \in \mathbb
Externí odkaz:
http://arxiv.org/abs/2407.07256
Autor:
Aberqi, A., Ouaziz, A.
In this manuscript, we deal with a class of fractional non-local problems involving a singular term and vanishing potential of the form: \begin{eqnarray*} \begin{gathered} \left\{\begin{array}{llll} \mathcal{L}^{s_{1}, s_{2}}_{p(\mathrm{x}, .), q(\ma
Externí odkaz:
http://arxiv.org/abs/2311.00402
Autor:
Tsai, Richard, Turnquist, Axel G. R.
We propose a volumetric formulation for computing the Optimal Transport problem defined on surfaces in $\mathbb{R}^3$, found in disciplines like optics, computer graphics, and computational methodologies. Instead of directly tackling the original pro
Externí odkaz:
http://arxiv.org/abs/2310.01745
Autor:
Turnquist, Axel G. R.
We define and discuss the properties of a class of cost functions on the sphere which we term defective cost functions. We then discuss how to extend these definitions and some properties to cost functions defined on Euclidean space and on surfaces e
Externí odkaz:
http://arxiv.org/abs/2308.08701
Autor:
Ouaziz, A., Aberqi, A.
In this paper, we investigate the existence and uniqueness of a non-trivial solution for a class of nonlocal equations involving the fractional $p$-Laplacian operator defined on compact Riemannian manifold, namely, \begin{eqnarray}\label{k1} \begin{g
Externí odkaz:
http://arxiv.org/abs/2209.00069
In the present paper, we study the coupled Einstein Constraint Equations (ECE) on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. In particular, we do not impose any specific model for inf
Externí odkaz:
http://arxiv.org/abs/2201.08347
We consider a class of fully nonlinear second order elliptic equations on Hermitian manifolds closely related to the general notion of $\bfG$-plurisubharmonicity of Harvey-Lawson and an equation treated by Sz\'ekelyhidi-Tosatti-Weinkove in the proof
Externí odkaz:
http://arxiv.org/abs/2110.00490
Autor:
Guan, Bo, Nie, Xiaolan
We derive a priori second order estimates for fully nonlinear elliptic equations which depend on the gradients of solutions in critical ways on Hermitian manifolds. The global estimates we obtained apply to an equation arising from a conjecture by Ga
Externí odkaz:
http://arxiv.org/abs/2108.03308