Results 11 to 20 of about 41 (37)

A sharp global estimate and an overdetermined problem for Monge-Ampère type equations

Advanced Nonlinear Studies, 2022
We consider Monge-Ampère type equations involving the gradient that are elliptic in the framework of convex functions. Through suitable symmetrization we find sharp estimates to solutions of such equations.
Mohammed Ahmed, Porru Giovanni
doaj   +1 more source

THE MULTI-MARGINAL OPTIMAL PARTIAL TRANSPORT PROBLEM

Forum of Mathematics, Sigma, 2015
We introduce and study a multi-marginal optimal partial transport problem. Under a natural and sharp condition on the dominating marginals, we establish uniqueness of the optimal plan.
JUN KITAGAWA, BRENDAN PASS
doaj   +1 more source

On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets

Advances in Nonlinear Analysis, 2019
We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimension N and the two exponents, 0 < α < β < 1, of the involved nonlinearites ...
Díaz J.I., Hernández J., Ilyasov Y.Sh.
doaj   +1 more source

Boundary blow-up solutions to the Monge-Ampère equation: Sharp conditions and asymptotic behavior

Advances in Nonlinear Analysis, 2019
Consider the boundary blow-up Monge-Ampère ...
Zhang Xuemei, Feng Meiqiang
doaj   +1 more source

Ireneo Peral: Forty Years as Mentor

Advanced Nonlinear Studies, 2017
In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene, Aguilar Juan Antonio, Barrios Begoña, Colorado Eduardo, Charro Fernando, García Azorero Jesús, Medina Maria, Merchán Susana, Montoro Luigi, Primo Ana   +9 more
doaj   +1 more source

k-convex solutions for multiparameter Dirichlet systems with k-Hessian operator and Lane-Emden type nonlinearities

Advances in Nonlinear Analysis
In this article, our main aim is to investigate the existence of radial kk-convex solutions for the following Dirichlet system with kk-Hessian operators: Sk(D2u)=λ1ν1(∣x∣)(−u)p1(−v)q1inℬ(R),Sk(D2v)=λ2ν2(∣x∣)(−u)p2(−v)q2inℬ(R),u=v=0on∂ℬ(R).\left\{\begin ...
He Xingyue, Gao Chenghua, Wang Jingjing
doaj   +1 more source

The existence and asymptotic behavior of large solutions to the k-Hessian equations with nonlinear gradient terms

Advances in Nonlinear Analysis
In this paper, we establish the first- and second-order asymptotic behaviors (expansions) of boundary blow-up solutions to the k-Hessian problem Sk(D2u)=b(x)f(u)C0+∇u2q/2 in Ω,u=+∞ on ∂Ω. ${S}_{k}\left({D}^{2}u\right)=b\left(x\right)f\left(u\right){\left(
Wan Haitao
doaj   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Global regularity for the Monge-Ampère equation with natural boundary condition

Annals of Mathematics, 2021
Shibing Chen, Jiakun Liu, Xu-Jia Wang
exaly  

A class of prescribed Weingarten curvature equations in Euclidean space

Communications in Partial Differential Equations, 2021
Qiang Tu
exaly  

Regularity of optimal transport between planar convex domains

Duke Mathematical Journal, 2020
Ovidiu Savin
exaly