Guangcun Lu

发表

Existence of Infinitely Many Brake Orbits of Lagrangian Autonomous Systems on Tori 1

Guangcun Lu, Mingyan Wang, 2007 .

Symplectic capacity and periodic motion of a charge on a manifold in the magnetic fields

Guangcun Lu, 1999, math/9905146.

Finiteness of the Hofer-Zehnder capacity of neighborhoods of symplectic submanifolds

Guangcun Lu, 2005, math/0510172.

Gromov–Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds

Guangcun Lu, 1999, math/9905074.

Gromov-Witten invariants and pseudo symplectic capacities

Guangcun Lu, 2001, math/0103195.

Virtual Moduli Cycles and Gromov-Witten Invariants of Noncompact Symplectic Manifolds

Guangcun Lu, 2003, math/0306255.

Gromov-Witten invariants on compact symplectic manifolds with contact type boundaries and applications

Guangcun Lu, 2000 .

On coupled Dirac systems

Guangcun Lu, Wenmin Gong, 2017 .

Existence results for coupled Dirac systems via Rabinowitz-Floer theory

Guangcun Lu, Wenmin Gong, 2015, 1511.06829.

Splitting lemmas for the Finsler energy functional on the space of H1‐curves

Guangcun Lu, 2014, 1411.3209.

Methods of infinite dimensional Morse theory for geodesics on Finsler manifolds

Guangcun Lu, 2012, 1212.2078.

The Conley conjecture for Hamiltonian systems on the cotangent bundle and its analogue for Lagrangian systems

Guangcun Lu, 2008, 0909.0609.

Constructing Virtual Euler Cycles and Classes

G. Tian, Guangcun Lu, 2006, math/0605290.

Symplectic Capacities of Toric Manifolds and Related Results

Guangcun Lu, 2003, Nagoya Mathematical Journal.

Finiteness of Hofer-Zehnder symplectic capacity of neighborhoods of symplectic submanifolds

Guangcun Lu, 2005 .

An extension of Biran’s Lagrangian barrier theorem

Guangcun Lu, 2001, math/0111183.

A pr 2 00 1 Gromov-Witten invariants and pseudo symplectic capacities

Guangcun Lu, 2001 .

Arnold conjecture and Piunikhin-Salamon-Schwarz's isomorphism between Floer homology and quantum homology

Guangcun Lu, 2000 .

On the degenerated Arnold-Givental conjecture

Guangcun Lu, 2008, 0806.0122.

SG ] 1 J un 2 00 8 On the degenerated Arnold-Givental conjecture

Guangcun Lu, 2008 .

Coisotropic Ekeland–Hofer capacities

Guangcun Lu, Rongrong Jin, 2019, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

An explicit isomorphism between Floer homology and quantum homology

Guangcun Lu, 2000, math/0011155.

The Weinstein conjecture in the uniruled manifolds

Guangcun Lu, 2000, math/0001137.

Coisotropic Hofer–Zehnder capacities of convex domains and related results

Guangcun Lu, Rongrong Jin, 2019, Journal of Fixed Point Theory and Applications.

The Viterbo's capacity conjectures for convex toric domains and the product of a $1$-unconditional convex body and its polar

Guangcun Lu, Kun Shi, 2020, 2008.04000.

The local inverse mapping theorem on Banach orbifolds

Guangcun Lu, Ming Wang, 2008 .

THE WEINSTEIN CONJECTURE ON SOME SYMPLECTIC MANIFOLDS CONTAINING THE HOLOMORPHIC SPHERES

Guangcun Lu, 1998 .

Gromov–Witten invariants of noncompact symplectic manifolds

Guangcun Lu, 2004 .

The splitting lemmas for nonsmooth functionals on Hilbert spaces II. The case at infinity

Guangcun Lu, 2011, 1211.2128.

Parameterized splitting theorems and bifurcations for potential operators, Part II: Applications to quasi-linear elliptic equations and systems

Guangcun Lu, Guangcun Lu, 2017, Discrete & Continuous Dynamical Systems.

A P ] 1 1 N ov 2 02 1 Parameterized splitting theorems and bifurcations for potential operators , Part II : Applications to quasi-linear elliptic equations and systems *

Guangcun Lu, 2021 .

THE EXISTENCE OF MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS OF HIGHER ORDER

Guangcun Lu, 1991 .

Symplectic fixed points and Lagrangian intersections on weighted projective spaces

Guangcun Lu, 2006, math/0601281.

Higher P-symmetric Ekeland-Hofer capacities

Guangcun Lu, Kun Shi, 2021, Communications on Pure and Applied Analysis.

Generalizations of Ekeland–Hofer and Hofer–Zehnder Symplectic Capacities and Applications

Guangcun Lu, Rongrong Jin, 2019, The Journal of Geometric Analysis.

Representation formula for symmetrical symplectic capacity and applications

Guangcun Lu, Rongrong Jin, 2019, Discrete & Continuous Dynamical Systems - A.

Deforming symplectomorphism of certain irreducible Hermitian symmetric spaces of compact type by mean curvature flow

Guangcun Lu, Bang Xiao, 2010, 1009.4284.

Morse theory methods for quasi-linear elliptic systems of higher order

Guangcun Lu, 2017, 1702.06667.

Variational study of bifurcations in von Kármán equations

Guangcun Lu, Rongrong Jin, 2019, Frontiers of Mathematics in China.

Parameterized splitting theorems and bifurcations for potential operators, Part I: Abstract theory

Guangcun Lu, 2017, Discrete & Continuous Dynamical Systems.

Morse theory methods for a class of quasi-linear elliptic systems of higher order

Guangcun Lu, 2017, Calculus of Variations and Partial Differential Equations.

Corrigendum to “The Conley conjecture for Hamiltonian systems on the cotangent bundle and its analogue for Lagrangian systems” [J. Funct. Anal. 256 (9) (2009) 2967–3034]

Guangcun Lu, 2011 .

Some critical point theorems and applications

Guangcun Lu, 2011, 1102.2136.

Bifurcations for Hamiltonian systems via dual variational principle

Guangcun Lu, Guangcun Lu, 2021, 2112.10726.

Solutions of Dirac equations on compact spin manifolds via saddle point reduction

Guangcun Lu, Xu Yang, Rongrong Jin, 2016, Journal of Fixed Point Theory and Applications.

A Brunn–Minkowski type inequality for extended symplectic capacities of convex domains and length estimate for a class of billiard trajectories

Guangcun Lu, Rongrong Jin, 2023, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg.

Coisotropic Hofer–Zehnder capacities of convex domains and related results

Guangcun Lu, Rongrong Jin, 2019, Journal of Fixed Point Theory and Applications.

Symplectic capacities of toric manifolds and combinatorial inequalities

Guangcun Lu, Guangcun Lu, 2002 .

Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori

Y. Long, Guangcun Lu, 2003 .

INFINITELY MANY EVEN PERIODIC SOLUTIONS OF LAGRANGIAN SYSTEMS ON ANY RIEMANNIAN TORI WITH EVEN POTENTIAL IN TIME

Guangcun Lu, Mingyan Wang, 2009 .

A note on bifurcation theorems of Rabinowitz type

Guangcun Lu, 2023, Journal of Mathematical Analysis and Applications.

Deformations of Special Legendrian Submanifolds with Boundary (corrected version)

Guangcun Lu, Xiaomin Chen, 2011, 1106.5086.

Variational study of bifurcations in von Kármán equations

Guangcun Lu, Rongrong Jin, 2019, Frontiers of Mathematics in China.

A CLASS OF NEW BI-INVARIANT METRICS ON THE HAMILTONIAN DIFFEOMORPHISM GROUPS

Guangcun Lu, Tie Sun, 2014, 1406.5878.

The Poisson Bracket Invariant for Open Covers Consisting of Topological Disks on Surfaces

Guangcun Lu, Kun Shi, 2019, Tokyo Journal of Mathematics.

Lower bound for the Poisson bracket invariant on surfaces

Guangcun Lu, Kun Shi, 2019 .