Prof. Dr. Yanheng Ding

Profil

Derzeitige StellungProfessor W-3 und Äquivalente
FachgebietAnalysis, Differentialgleichungen
Keywordscritical point, Schrodinger equation, beam equation, periodic and homoclinic type solution, strongly indefinite functional

Aktuelle Kontaktadresse

LandChina, VR
OrtBeijing
Universität/InstitutionChinese Academy of Sciences (CAS)
Institut/AbteilungAcademy of Mathematics and Systems Science, Institute of Mathematics

Gastgeber*innen während der Förderung

Prof. Dr. Thomas BartschMathematisches Institut, Justus-Liebig-Universität Gießen, Gießen
Beginn der ersten Förderung01.11.1996

Programm(e)

1996Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

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