MORSE

作品数：196被引量：312H指数：9
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HANDEL'S FIXED POINT THEOREM:A MORSE THEORETICAL POINT OF VIEW
《Acta Mathematica Scientia》2021年第6期2149-2172,共24页Patrice LE CALVEZ 
Michael Handel has proved in [10] a fixed point theorem for an orientation preserving homeomorphism of the open unit disk, that turned out to be an efficient tool in the study of the dynamics of surface homeomorphisms...
关键词：brick decomposition Brouwer theory translation arc 
STABILITY OF SUBHARMONIC SOLUTIONS OF FIRST-ORDER HAMILTONIAN SYSTEMS WITH ANISOTROPIC GROWTH被引量：1
《Acta Mathematica Scientia》2019年第1期111-118,共8页Chungen LIU Xiaofei ZHANG 
supported by NSFC(11471170,11790271);innovation and development project of Guangzhou University
Using the dual Morse index theory, we study the stability of subharmonic solutions of first-order autonomous Hamiltonian systems with anisotropic growth, that is, we obtain a sequence of elliptic subharmonic solutions...
关键词：HAMILTONIAN system the dual MORSE index SUBHARMONIC solution STABILITY 
LIOUVILLE THEOREM FOR CHOQUARD EQUATION WITH FINITE MORSE INDICES被引量：1
《Acta Mathematica Scientia》2018年第2期673-680,共8页赵晓军 
In this article, we study the nonexistence of solution with finite Morse index for the following Choquaxd type equation -△u=∫Rn｜u（y）｜p/｜x-y｜αdy｜u（x）｜p-2u（x） in RN,where N≥3,0〈α〈min {4,N}.Suppose tha...
关键词：Liouville type theorem Morse index Choquard equation 
ON A BI-HARMONIC EQUATION INVOLVING CRITICAL EXPONENT: EXISTENCE AND MULTIPLICITY RESULTS被引量：4
《Acta Mathematica Scientia》2011年第4期1213-1244,共32页Zakaria Boucheche Ridha Yacoub Hichem Chtioui 
In this paper, we consider the problem of existence as well as multiplicity results for a bi-harmonic equation under the Navier boundary conditions： △2 u = K（x）u p , u 〉 0 in Ω , △u = u = 0 on Ω , where Ω is ...
关键词：critical points at infinity Palais-Smale condition Morse lemma at infinity Morse inequalities 
MORSE CONCAVITY FOR CLOSED GEODESICS
《Acta Mathematica Scientia》2009年第3期731-750,共20页段华桂 龙以明 
Partially supported by NSF (10801079);Partially supported by RFDP (20080551002);Partially supported by LPMC of MOE of China;Partially supported by the 973 Program of MOST, NNSF, MCME, RFDP, LPMC of MOE of China, S. S. Chern Foundation, and Nankai University
In this paper, the concavity of closed geodesics proposed by M. Morse in 1930s is studied.
关键词：closed geodesic CONCAVITY sypletic matrix Morse index 
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