SUPERSOLUTION

作品数：9被引量：7H指数：1
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相关期刊：《Science China Mathematics》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》更多>>
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Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain
《Science China Mathematics》2020年第7期1307-1322,共16页Huyuan Chen Rui Peng Feng Zhou 
supported by National Natural Science Foundation of China(Grant Nos.11726614 and 11661045);Jiangxi Provincial Natural Science Foundation(Grant No.20161ACB20007);supported by National Natural Science Foundation of China(Grant Nos.11671175 and 11571200);the Priority Academic Program Development of Jiangsu Higher Education Institutions,Top-notch Academic Programs Project of Jiangsu Higher Education Institutions(Grant No.PPZY2015A013);Qing Lan Project of Jiangsu Province;supported by National Natural Science Foundation of China(Grant Nos.11726613,11271133 and 11431005);Science and Technology Commission of Shanghai Municipality(STCSM)(Grant No.13d Z2260400)。
In this paper,we consider the following semilinear elliptic equation:■whereΩis an exterior domain in R^N with N≥3,h:Ω×R^+→R is a measurable function,and derive optimal nonexistence results of positive supersolut...
关键词：semilinear elliptic problem SUPERSOLUTION NONEXISTENCE 
Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy–Sobolev–Maz'ya Term
《Acta Mathematica Sinica,English Series》2015年第6期893-912,共20页Shuang Jie PENG Jing YANG 
Supported by NSFC(Grant No.11301204);the Ph D specialized grant of the Ministry of Education of China(Grant No.20110144110001);the excellent doctorial dissertation cultivation grant from Central China Normal University(Grant No.2013YBZD15)
In this paper, we study the existence and nonexistence of multiple positive solutions for the following problem involving Hardy-Sobolev-Maz＇ya term：-Δu-λ u/｜y｜2 = （｜u｜pt-1u）/｜y｜t ＋ μf（x）, x∈ Ω,where ...
关键词：Hardy-Sobolev-Maz＇ya inequality Mountain Pass Lemma positive solutions subsolutionand supersolution 
Existence and Asymptotic Behavior of Boundary Blow-Up Weak Solutions for Problems Involving the p-Laplacian
《Journal of Partial Differential Equations》2013年第2期172-192,共21页BELHAJ RHOUMA Nedra DRISSI Amor SAYEB Wahid 
Let D C RN （N≥3）, be a smooth bounded domain with smooth boundary 3D. In this paper, the existence of boundary blow-up weak solutions for the quasilinear elliptic equation Δpu -= Ak（x）f（u） in D（λ 〉 0 and 1 ...
关键词：p-Laplacian operator sub and supersolution blow-up solutions comparison princi-ple. 
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 
STRUCTURE OF NONNEGATIVE NONTRIVIAL AND POSITIVE SOLUTIONS OF SINGULARLY PERTURBED p-LAPLACE EQUATIONS被引量：1
《Applied Mathematics and Mechanics(English Edition)》2004年第8期929-936,共8页张正策 李开泰 LINZong-chi 
theNationalKeyBasicResearchDevelopmentProjectProgramofChina(1 9990 3 2 80 1 ) ;theNationalNaturalScienceFoundationofChina (1 0 3 71 0 95)
Structure of nonnegative nontrivial and positive solutions was precisely studied for some singularly perturbed p-Laplace equations. By virtue of sub- and supersolution method, it is shown that there are many nonnegati...
关键词：p-Laplace equation nonnegative nontrivial solution positive solution spike-layer solution sub- and supersolution 
Nonlinear Doob—Meyer Decomposition with Jumps被引量：1
《Acta Mathematica Sinica,English Series》2003年第1期69-78,共10页QingQuanLIN 
Concepts of g-supersolution, g-manrtingale, g-supermartingale are introduced, which are related to BSDE with Brownian motion and Poisson point process. A strict comparison theorem, monotonic limit theorem related to t...
关键词：g SUPERSOLUTION g SUPERMARTINGALE Poisson process Nonlinear Doob Meyer decomposition 
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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