Prof. Dr. Yanheng Ding

Profile

Academic positionFull Professor
Research fieldsAnalysis, Differential Equations
Keywordscritical point, Schrodinger equation, beam equation, periodic and homoclinic type solution, strongly indefinite functional

Current contact address

CountryPeople's Republic of China
CityBeijing
InstitutionChinese Academy of Sciences (CAS)
InstituteAcademy of Mathematics and Systems Science, Institute of Mathematics

Host during sponsorship

Prof. Dr. Thomas BartschMathematisches Institut, Justus-Liebig-Universität Gießen, Gießen
Start of initial sponsorship01/11/1996

Programme(s)

1996Humboldt Research Fellowship Programme

Publications (partial selection)

2007Yanheng Ding, Andrzej Szulkin: Bound states for semilinear Schrödinger equations with sign-changing potential. In: Calc.Var. Partial Differential Equations, 2007, 473-490
2007Claudianor Oliveira Alves, Yanheng Ding: Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems. In: Topol. Meth. Nonlinear Anal. , 2007, 265-278
2007Yanheng Ding, Louis Jeanjean: Homoclinic orbits for a non periodic Hamiltonian system. In: J. Differential Equations, 2007, 473-490
2007Anmin Mao, Shixia Luan, Yanheng Ding: Periodic solutions for a class of first order super-quadratic Hamiltonian system. In: J. Math. Anal. Appl., 2007, 584-596
2007Yanheng Ding, Juncheng Wei: Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials. In: J. Funct. Anal., 2007, 546-572
2007Yanheng Ding, Shixia Luan, Michel Willem: Solutions of a system of diffusion equations. In: J. Fixed Point Theory Appl., 2007, 117-139
2007Yanheng Ding, Fanghua Lin: Solutions of perturbed Schrödinger equations with critical nonlinearity. In: Calc. Var. Partial Differential Equations, 2007, 231-249
2007Yanheng Ding: Variational Methods for Strongly Indefinite Problems. World Scientific Publishing Co., 2007
2006Thomas Bartsch, Yanheng Ding: Deformation theorems on non-metrizable vector spaces and applications to critical point theory. In: Math. Nachr. , 2006, 1267-1288
2006Yanheng Ding: Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms. In: Communications in Contemporary Mathematics, 2006, 453-480
2006Yanheng Ding, Cheng Lee: Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms. In: J. Diff. Equations, 2006, 137-163
2006Yanheng Ding, Fanghua Lin: Semiclassical states of Hamiltonian system of Schrödinger equations with subcritical and critical nonlinearities. In: J. Partial Diff. Eqs., 2006, 232-255
2006Thomas Bartsch, Yanheng Ding: Solutions of nonlinear Dirac equations. In: J. Diff. Equations, 2006, 210-249
2005Chong Li, Yanheng Ding, Shujie Li: Multiple solutions of nonlinear elliptic equations for oscillation problems. In: J. Math. Anal. Appl., 2005, 477-485
2005Yanheng Ding, Cheng Lee: Periodic solutions of an infinite dimensional Hamiltonian system. In: Rocky Mountain J. Math., 2005, 1881-1908
2004Yanheng Ding: Deformation in locally convex topological linear spaces. In: Sciences in China Ser. A , 2004, 687-710
2004Yanheng Ding, Shixia Luan: Multiple solutions for a class of nonlinear Schrödinger equations. In: J. Diff. Equations, 2004, 423-457
2004Anmin Mao, Shixia Luan, Yanheng Ding: On the existence of positive solutions for a class of singular boundary value problems. In: J. Math. Anal. Appl. , 2004, 57-72
2004Monica Clapp, Yanheng Ding: Positive solutions of a Schrödinger equation with critical nonlinearity. In: Z. angew. Math. Phys., 2004, 592-605
2003Yanheng Ding, Kazunaga Tanaka: Multiplicity of positive solutions of a nonlinear Schrödinger equation. In: Manuscripta Mathematica , 2003, 109-135
2003Djairo G. de Figueiredo, Yanheng Ding: Strongly indefinite functionals and multiple solutions of elliptic systems. In: Trans. Amer. Math. Soc., 2003, 2973-2989
2002Thomas Bartsch, Yanheng Ding: Homoclinic solutions of an infinite-dimensional Hamiltonian system. In: Math. Z., 2002, 289-310
2002Yanheng Ding: Solutions to a class of Schrödinger equations. In: Proc. Amer. Math. Soc. , 2002, 689-696
2001Thomas Bartsch, Yanheng Ding: Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry. In: Nonlinear Analysis, TMA, 2001, 727-748
2000Thomas Bartsch, Yanheng Ding: Critical point theory with applications to asympototically linear wave and beam equations. In: Diff. Int. Equations, 2000, 973-1000
2000Yanheng Ding, Cheng Lee: Periodic solutions of Hamiltonian systems. In: SIAM J. Math. Anal., 2000, 555-571
1999Yanheng Ding, Michel Willem: Homoclinic orbits of a Hamiltonian system. In: Z. angew. Math. Phys., 1999, 759-778
1999Yanheng Ding, Mario Girardi: Infinitely many homoclinic orbits of a Hamitonian system with symmetry. In: Nonlinear Analysis, TMA, 1999, 391-415
1999Thomas Bartsch, Yanheng Ding: On a nonlinear Schrödinger equation with periodic potential. In: Math. Ann., 1999, 15-37
1999Thomas Bartsch, Yanheng Ding, Cheng Lee: Periodic solutions of a wave equations with concave and convex nonlinearities. In: J. Diff. Equations, 1999, 121-141