Results 11 to 20 of about 36 (35)
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.
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Advances in Nonlinear Analysis, 2020 In this paper, the equations and systems of Monge-Ampère with parameters are considered. We first show the uniqueness of of nontrivial radial convex solution of Monge-Ampère equations by using sharp estimates.
Feng Meiqiang
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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
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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 +9 more
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Existence and asymptotic behavior of radial solutions for a k-Hessian equation with the gradient
Demonstratio MathematicaIn this work, we focus on the existence and asymptotic behavior of radial solutions for the k-Hessian equation with the nonlinear gradient termsSkσD2u=λb(|x|)φ(−u)|∇u|m,inΩ,u=0,on∂Ω, $$\begin{cases}_{k}\left(\sigma \left({D}^{2}u\right)\right)=\lambda b ...
Yang Zedong
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Advances in Nonlinear AnalysisIn 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
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Advances in Nonlinear AnalysisIn 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
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Global Regularity for the Monge-Ampère Equation With Natural Boundary Condition
Annals of Mathematics, 2021Xu-Jia Wang, Jiakun Liu, Shibing Chen
exaly
New Proof for the Regularity of Monge–Ampère Type Equations
Journal of Differential Geometry, 2020Xu-Jia Wang
exaly