MOUNTAIN-PASS

作品数：8被引量：3H指数：1
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相关领域：理学更多>>
相关作者：康东升曹玉平田刚更多>>
相关机构：中南民族大学北京大学更多>>
相关期刊：《Journal of Partial Differential Equations》《Acta Mathematica Sinica,English Series》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>
相关基金：国家自然科学基金更多>>
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Normalized Solution for p-Kirchhoff Equation with a L2-supercritical Growth
《Acta Mathematicae Applicatae Sinica》2024年第2期414-429,共16页Zhi-min REN Yong-yi LAN 
supported by Natural Science Foundation of Fujian Province(No.2022J01339;2020J01708);National Foundation Training Program of Jimei University(ZP2020057).
In this paper,we investigate the following p-Kirchhoff equation{∫R^(N)|u|^(2)dx=ρ,(a+b)∫RN(|Δu}^(p)+|u|^(p))dx)(-Δpu+|u|^(p-2u)=|u|^(s-2)u+μu,x∈R^(N),where a>0,b≥0,p>0 are constants,constants,p*=N-P/Np is the ...
关键词：p-Kirchhoff equation normalized solution mountain-pass lemma 
Brake Orbits of First Order Convex Hamiltonian Systems with Particular Anisotropic Growth被引量：2
《Acta Mathematica Sinica,English Series》2020年第2期171-178,共8页Xiao Fei ZHANG Chun Gen LIU 
supported by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(Grant No.2019L0766);the Doctoral Scientific Research Foundation of Shanxi Datong University;supported by NNSF of China(Grant Nos.11471170 and 11790271);innovation and development project of Guangzhou University,and Nankai Zhide Foundation
Combining the dual least action principle with Mountain-pass lemma,we obtain the existence of brake orbits for first-order convex Hamiltonian systems with particular anisotropic growth.
关键词：Hamiltonian system brake orbit anisotropic grow th Mountain-pass lemma 
Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term
《Journal of Partial Differential Equations》2019年第2期156-170,共15页XUE Yimin CHEN Shouting 
Our work was supported by the Natural Science Foundation of JiangSu Province(BK201 51160);Six Talent Peaks Project in Jangsu Province(2016-JY-081);the Nurturing Project of Xuzhou University of Technology(XKY2017113).
In this paper,we consider an elliptic equation with exponential nonlinearities and singular term.By constructing the corresponding variational framework,and using a Singular Trudinger-Moser inequality due to Li,Mounta...
关键词：SINGULAR Trudinger-Moser INEQUALITY MOUNTAIN-PASS theorem EXPONENTIAL growth. 
带有不同Hardy项的椭圆方程组的Mountain-Pass解被引量：1
《中南民族大学学报（自然科学版）》2019年第2期304-308,共5页康东升 高蒙 刘晓楠 曹玉平 
国家自然科学基金资助项目(11601530)
研究了一类带有不同Hardy项和线性扰动项的临界椭圆方程组,解决了由不同Hardy项带来的困难,分析了相关最佳Sobolev常数达到函数的渐近性质.首次利用变分方法成功地证明了这类奇异椭圆方程组Mountain-Pass解的存在性.
关键词：椭圆方程组 临界 Hardy项 山路解 
On a Critical Neumann Problem with a Perturbation of Lower Order
《Acta Mathematicae Applicatae Sinica》2008年第3期441-452,共12页J.Chabrowski 
We investigate the solvability of the Neumann problem （1.1） involving the critical Sobolev nonlinearity and a term of lower order. We allow a coefficient of u in equation （1.1） to be unbounded. We prove the existe...
关键词：Neumann problem critical Sobolev exponent mountain-pass solutions multiple solutions 
THE EXISTENCE OF SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS WITH CHANGE OF SIGN
《Acta Mathematica Scientia》2001年第4期469-482,共14页李工宝 余纯 
NSFC and Academy of Finland.
This paper considers the following quasilinear elliptic problem [GRAPHICS] where Omega is a bounded regular domain in R-N (N greater than or equal to 3), N > p > 1. When g(u) satisfies suitable conditions and g(u)u - ...
关键词：qasilinear elliptic equation (PS) condition mountain-pass Lemma infinite solution 
TOPOLOGICAL DEGREE OF CRITICAL POINTS OF 2-DIMENSION MOUNTAIN-PASS TYPE PRODUCED BY 2-DIMENSION LINK
《Chinese Science Bulletin》1990年第19期1665-1666,共2页户传平 
In this letter we study the topological properties of 2-dimension Mountain-Pass Type points and prove that its local topological degree is 1 under some conditions, which answers the conjecture raised by Rabinowits, La...
关键词：topological LETTER PASS CONJECTURE EIGENVALUE raised SUBSET isola 云刀 
ON THE MOUNTAIN-PASS LEMMA
《Chinese Science Bulletin》1984年第9期1150-1154,共5页田刚 
In this paper, we study the topological properties of the so-called Mountain-Pass point.Under certain conditions, we prove that at an isolated M-P point the locally homologieal groups are the same as that of 1-sphere,...
关键词：topological PASS LOCALLY NEIGHBORHOOD EIGENVALUE satis proof inverse assume implies 
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