SUBSOLUTION

作品数：6被引量：5H指数：1
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相关期刊：《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》更多>>
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Monge–Ampère Type Equations on Almost Hermitian Manifolds
《Acta Mathematica Sinica,English Series》2023年第5期749-772,共24页Jiao Gen ZHANG 
Supported by the project“Analysis and Geometry on Bundle”of Ministry of Science and Technology of the People’s Republic of China(Grant No.SQ2020YFA070080);by China Postdoctoral Science Foundation(Grant No.290612)。
In this paper we consider the Monge–Ampère type equations on compact almost Hermitian manifolds.We derive C∞a priori estimates under the existence of an admissible C-subsolution.Finally,we obtain an existence resul...
关键词：Monge-Ampere type equations almost Hermitian manifold a priori estimates SUBSOLUTION 
A SUBSOLUTION THEOREM FOR THE MONGE-AMPERE EQUATION OVER AN ALMOST HERMITIAN MANIFOLD
《Acta Mathematica Scientia》2022年第5期2040-2062,共23页Jiaogen ZHANG 
supported by the National Key R and D Program of China(2020YFA0713100).
Let Ω⊆M be a bounded domain with a smooth boundary ∂Ω,where(M,J,g)is a compact,almost Hermitian manifold.The main result of this paper is to consider the Dirichlet problem for a complex Monge-Ampère equation on Ω....
关键词：complex Monge-Ampere equation almost Hermitian manifold a priori estimate SUBSOLUTION J-plurisubharmonic 
Increasing Powers in a Degenerate Parabolic Logistic Equation
《Chinese Annals of Mathematics,Series B》2013年第2期277-294,共18页Jos Francisco RODRIGUES Hugo TAVARES 
Project supported by Fundaco para a Ciência e a Tecnologia (FCT) (No. PEst OE/MAT/UI0209/2011);supported by an FCT grant (No. SFRH/BPD/69314/201)
The purpose of this paper is to study the asymptotic behavior of the positive solutions of the problem tu- △u=au-b（x）up in Ω×R＋,u（0）=u0,u（t ）｜ Ω=0, as p→ ＋∞, where Ω is a bounded domain, and b（x） i...
关键词：Parabolic logistic equation Obstacle problem Positive solution Increasing power Subsolution and supersolution 
POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS被引量：1
《Acta Mathematica Scientia》2006年第4期670-678,共9页娄本东 
Partially supported by the project-sponsored by SRF for ROCS, SEM
The author studies semilinear parabolic equations with initial and periodic boundary value conditions. In the presence of non-well-ordered sub- and super-solutions： ＂subsolution ≮ supersolution＇, the existence and...
关键词：Semilinear parabolic equation equilibrium solution SUBSOLUTION SUPERSOLUTION 
THE EXISTENCE AND UNIQUENESS OF THE DECAYING POSITIVE ENTIRE SOLUTIONS FOR A CLASS OF SEMILIN EARELLIPTIC EQUATIONS
《Applied Mathematics and Mechanics(English Edition)》1995年第8期765-777,共13页田根宝 
This paper first proves the following equations△u-m￣2u+f(x,u)=0, x(R￣n,n≥3 m>0 existence of decaying positive entire solution, then emphatically, proves this solution'suniqueness.
关键词：weak supersolution weak subsolution monotone convergencetheorem . nonincreasing. nondecreasing locally Hldercontinuous.locally Lipschitz continuous strong maximumprinciple 
EXISTENCE　AND　NONEXISTENCE　OF　GLOBAL　SOLUTION　OF　NONLINEAR　PARABOLIC　EQUATION　WITH　NONLINEAR　BOUNDARY　CONDITION被引量：4
《Chinese Annals of Mathematics,Series B》1995年第3期371-378,共8页WuYONGHUI WANGMINGXIN 
This paper deals with the existence and nonexistence of global positive solution of the following equation:where p, q, m, α are parameters with is a bounded domain with Ω smooth enough, The necessary and sufficient ...
关键词：Nonlinear parabolic equiation Nonlinear boundary condition EXISTENCE Blow-up Subsolution and supersolution. 
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