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| 1 | Deformation in locally convex topological linear spaces显示文摘We are concerned with a deformation theory in locally convex topological linear spaces. A special 'nice' partition of unity is given. This enables us to construct certain vector fields which are locally Lipschitz continuous with respect to the locally convex topology. The existence, uniqueness and continuous dependence of flows associated to the vector fields are established. Deformations related to strongly indefinite functionals are then obtained. Finally, as applications, we prove some abstract critical point theorems. | DING Yanheng | 2004 | Science China Mathematics2004，47，5： | 4 |
| 2 | Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms显示文摘In this paper we consider the first order discrete Hamiltonian systems x1(n + 1)-x1(n) = -Hx2 (n, x(n)), x2(n)-x2(n-1) = Hx1 (n, x(n)), where x(n) =( x1(n) x2(n)) ∈ R2N , H(n1, Z)∈1/2S(n)z·z+R(n1 z) is periodic in n and superlinear as |z| →∞. We prove the existence and infinitely many (geometrically distinct) homoclonic orbits of the system by critical point theorems for strongly indefinite functionals. | CHEN WenXiong YANG MinBo DING YanHeng | 2011 | Science China Mathematics2011，54，12： | 4 |
| 3 | SEMICLASSICAL STATES OF HAMILTONIAN SYSTEM OF SCHROEDINGER EQUATIONS WITH SUBCRITICAL AND CRITICAL NONLINEARITIES显示文摘 | Ding Yanheng Lin Fanghua | 2006 | Journal of Partial Differential Equations2006，19，3： | 3 |
| 4 | On a Class of Infinite-Dimensional Hamiltonian Systems with Asymptotically Periodic Nonlinearities显示文摘The authors study the existence of homoclinic type solutions for the following system of diffusion equations on R × RN:{■tu-xu + b ·▽xu + au + V(t,x)v = Hv(t,x,u,v),-■tv-xv-b·▽xv + av + V(t,x)u = Hu(t,x,u,v),where z =(u,v):R × RN → Rm × Rm,a > 0,b =(b1,···,bN) is a constant vector and V ∈ C(R × RN,R),H ∈ C1(R × RN × R2m,R).Under suitable conditions on V(t,x) and the nonlinearity for H(t,x,z),at least one non-stationary homoclinic solution with least energy is obtained. | Minbo YANG Zifei SHEN Yanheng DING | 2011 | Chinese Annals of Mathematics,Series B2011，32，1： | 1 |
| 5 | Existence and muhiplicity results for homoclinic solutions to a class of Hamiltonian systems显示文摘 | Ding Yanheng | 1995 | Nonlinear Anal1995，，： | 1 |
| 6 | On the existence of solutions for Schrodinger-Maxwell systems in 显示文摘 | Yang Minbo Zhao Fukun Ding Yanheng | 2012 | Rocy Mountain Journal of Mathematics2012，42，： | 1 |
| 7 | Multiple solutions for a class of nonlinear Schrodinger equations显示文摘 | Ding Yanheng Luan shixia | 2004 | Journal of Differential Equations2004，207，： | 1 |
| 8 | Multiple solutions for a class of nonlinear Schrodinger equations 显示文摘 | DING Yanheng LUAN Shixia | 2004 | J Differential Equations2004，207，： | 1 |
| 9 | Periodic solutions of Hamiltonian systems 显示文摘 | Ding Yanheng Lee C | 2000 | SIAM J Math Anal2000，32，3： | 1 |
| 10 | Existence of solutions for singularly perturbed Schn?Minger equations with nonlocal part 显示文摘 | Yang Minbo Ding Yanheng | 2013 | Communications on Pure and Applied Analysis2013，12，2： | 1 |
| 11 | Solutions of perturbed Schr0dinger equation with critical nonlinearity 显示文摘 | Ding Yanheng Lin Fanghua | 2007 | Calculus of Variations and Partial Differ- ential Equations2007，30，2： | 1 |
| 12 | Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems显示文摘 | Ding Yanheng | | 0，，11： | 1 |
| 13 | Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems 显示文摘 | Ding Yanheng | 1995 | Nonlinear Anal1995，25，1： | 1 |
| 14 | Infinitely many stationary solutions of discrete vector nonlinear Schrfidinger equation with symmetry 显示文摘 | Yang Minbo Zhao Fukun Ding Yanheng | 2010 | Nonl Anal2010，215，12： | 1 |
| 15 | Multiple solutions for a class of nonlinear Schrfidinger equations 显示文摘 | Ding Yanheng Luan Shixia | 2004 | J Differential E- quations2004，207，2： | 1 |
| 16 | A REMARK ON PERIODIC SOLUTIONS OF SINGULAR HAMILTONIAN SYSTEMS WITH SUBLINEAR TERMS显示文摘In this paper,we prove the existence of multiple periodic solutionsfor a class of singular Hamiltonian systems with sublinear terms via variationalmethods. | DING Yanheng LI Shujie (Institute of Mathematics,Academia Sinica,Beijing 100080,China) | 1992 | Systems Science and Mathematical Sciences1992，5，2： | 1 |
| 17 | Multiple solutions for a class of nonlinear Schr?dinger equations显示文摘 | Yanheng Ding Shixia Luan | 2004 | Journal of Differential Equations2004，，2： | 1 |
| 18 | Multiple solutions for a class of nonlinear Sehrodinger equations显示文摘 | DING Yanheng LUAN Shixia | 2004 | Jour- nal of Differential Equations2004，207，2： | 1 |
| 19 | Existence and multiplicity results for ho- moclinic solutions to a class of Hamihonian systems 显示文摘 | Ding Yanheng | 1995 | Nonlinear Analysis1995，25，1： | 1 |
| 20 | Multiple solutions for a class of nonlinear Schrodinger equations显示文摘 | DING YANHENG LUAN SHIXIA | 2004 | J Differential Equations2004，207，： | 1 |
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