SUB-SUPERSOLUTION

作品数：6被引量：2H指数：1
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相关期刊：《Acta Mathematica Scientia》《Frontiers of Mathematics in China》《Advances in Applied Mathematics and Mechanics》《Journal of Partial Differential Equations》更多>>
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SUFFICIENT AND NECESSARY CONDITIONS ON THE EXISTENCE AND ESTIMATES OF BOUNDARY BLOW-UP SOLUTIONS FOR SINGULAR p-LAPLACIAN EQUATIONS
《Acta Mathematica Scientia》2023年第3期1175-1194,共20页张学梅 阚士坤 
supported by the Beijing Natural Science Foundation(1212003)。
Let?denote a smooth,bounded domain in R^(N)(N≥2).Suppose that g is a nondecreasing C^(1)positive function and assume that b(x)is continuous and nonnegative inΩ,and that it may be singular on■Ω.In this paper,we pro...
关键词：singular p-Laplacian equation boundary blow-up sub-supersolution method EXISTENCE nonexistence and estimates sufficient and necessary conditions 
Existence of saddle solutions of a nonlinear elliptic equation involving p-Laplacian in more even-dimensional spaces
《Frontiers of Mathematics in China》2016年第6期1613-1623,共11页Huahui YAN Zhuoran DU 
Acknowledgements This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11101134, 11371128） and the Young Teachers Program of Hunan University. The authors thank the anonymous referees for their valuable comments and suggestions.
We show that there exist saddle solutions of the nonlinear elliptic equation involving the p-Laplacian, p 〉 2, -△p^u -= f（u） in R^2m for all dimensions satisfying 2m ≥ p, by using sub-supersolution method. The ex...
关键词：P-LAPLACIAN saddle solutions sub-supersolution method 
Existence and Asymptotic Behavior of Positive Solutions for Variable Exponent Elliptic Systems
《Advances in Applied Mathematics and Mechanics》2016年第1期19-36,共18页Honghui Yin Zuodong Yang 
supported by the National Natural Science Foundation of China(No.11171092 and No.11471164);the Natural Science Foundation of Jiangsu Education Office(No.12KJB110002).
In this paper,our main purpose is to establish the existence of positive solution of the following system{−△ p(x)u=F(x,u,v),x∈W,−D q(x)v=H(x,u,v),x∈W,u=v=0,x∈∂W,where W=B(0,r)⊂RN or W=B(0,r2)\B(0,r1)⊂RN,0
关键词：Positive solution p(x)-Laplacian asymptotic behavior SUB-SUPERSOLUTION 
An Existence Result for a Class of Chemically Reacting Systems with Sign-Changing Weights
《Journal of Partial Differential Equations》2015年第1期1-8,共8页RASOULI S. H. NOROUZI H. 
We prove the existence of positive solutions for the system {-△pu=λa（x）f（v）u^-a x∈Ω -△qv=λb（x）g（u）v^-β,x∈Ω u=v=0xEf,x∈Ωwhere △rz =-div（｜z｜^r-2 z）, for r 〉1 denotes the r-Laplacian operator and...
关键词：Positive solutions chemically reacting systems sub-supersolutions. 
Existence and Nonexistence of Weak Positive Solution for a Class of p-Laplacian Systems
《Journal of Partial Differential Equations》2014年第2期158-165,共8页AKROUT Kamelz GUEFAIFIA Rafik 
In this work, we are interested to obtain some result of existence and nonex- istence of positive weak solution for the following p-Laplacian system {-△piui=λifi（u1,^…,um）,inΩ, i=1,...,m, ui=0,on δΩ,Vi=1,…,...
关键词：Positive solutions sub-supersolutions elliptic systems. 
BOUND STATES FOR A STATIONARY NONLINEAR SCHRDINGER-POISSON SYSTEM WITH SIGN-CHANGING POTENTIAL IN R^3被引量：2
《Acta Mathematica Scientia》2009年第4期1095-1104,共10页蒋永生 周焕松 
Supported by NSFC(10631030) and CAS-KJCX3-SYW-S03
We study the following Schrodinger-Poisson system where （Pλ）{-△u＋ V（x）u＋λФ（x）u^p=x∈R^3,-△Ф=u^2,lim│x│→∞Ф（x） =0,u〉0,where λ≥0 is a parameter,1 〈 p 〈 ＋∞, V（x） and Q（x）=1 ,D.Ruiz[19] prov...
关键词：Schrodinger-Poisson system sub-supersolutions supercritical Sobolev expo-nent sign-changing potential bound state 
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