Prof.
Dr. Thomas Bartsch — Publikationen

Buch 

Topological
methods für
variational problems with symmetries
Habilitationsschrift Heidelberg 1992
Lecture Notes in Mathematics 1560, Springer Verlag, Berlin Heidelberg,
1993 
Papers
und Preprints
Die
verfügbaren Dateien sind PreprintVersionen und stimmen nicht notwendig mit den veröffentlichten Versionen überein.

[84]

Asymptotically radial solutions in expanding annular domains. (with
M. Clapp, M. Grossi, F. Pacella) Preprint.
Download as PDF. 
[83]

PoincaréHopf type formulas on convex sets of Banach spaces. (with E.N. Dancer) Preprint.
Download as PDF. 
[82]

On the Fucik spectrum for Schrödinger operators on R^N and applications (with Z.Q. Wang, Z. Zhang) Preprint.
Download as PDF. 
[81]

A Liouville theorem, apriori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. (with E.N. Dancer, Z.Q. Wang) Preprint.
Download as PDF. 
[80]

Nvortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinhPoisson and the LaneEmdenFowler equations. (with A. Pistoia, T. Weth) Preprint.
Download as PDF. 
[79] 
Liouvilletype
theorems and asymptotic behavior of nodal radial solutions of semilinear heat
equations. (with P. Polacik and P. Quittner) Journal of the European Mathematical Society (to appear). Download as PDF. 
[78]

Existence and multiplicity results for semipositone pLaplacian problems with falling zeroes. (with R. Shivaji, Z. Zhang) Preprint.
Download as PDF. 
[77]

Solutions concentrating on higher dimensional subsets for singularly perturbed
elliptic equations II. (with S. Peng) Preprint.
Download as PDF. 
[76] 
Solutions
concentrating on higher dimensional subsets for singularly perturbed
elliptic equations I. (with S. Peng)
Indiana University Mathematics Journal 57 (2008), 15991632. 
[75] 
Morse
theory and applications to differential equations (with A.
Szulkin and M. Willem).
Handbook of Global Analysis (D. Krupka, D. Saunders, Eds.), Elsevier 2008, 4173. 
[74] 
An
invariant set generated by the domain topology for parabolic semiflows
with small diffusion (with
N. Ackermann, P. Kaplicky).
Discrete and Continuous Dynamical Systems
18 (2007), 613626. 
[73] 
Existence
and nonexistence of solutions to elliptic equations related to
CaffarelliKohnNirenberg inequalities (with S. Peng,
Z. Zhang).
Calculus of Variations and Partial Differential Equations 30 (2007), 113136. 
[72] 
Note on ground states of nonlinear Schrödinger systems (with Z.Q. Wang).
Journal of Partial Differential Equations 19 (2006), 200207 
[71] 
On multibump
semiclassical bound states of nonlinear Schrödinger
equations with electromagnetic fields (with N. Dancer and S. Peng).
Advances in Differential Equations 11 (2006), 781812. 
[70] 
Bound
states for a coupled Schrödinger system (with
Z.Q. Wang and
J. Wei).
Journal of Fixed Point Theory and Applications 2 (2007), 353367.

[69] 
Semiclassical
symmetric Schrödinger equations:
existence of solutions concentrating simultaneously
on several spheres (with S. Peng). Zeitschrift für
angewandte Mathematik und Physik (ZAMP) 58 (2007), 778804. 
[68] 
Nodal
solutions of nonlinear elliptic Dirichlet problems on radial
domains (with M. Degiovanni). Atti della
Accademia Nazionale dei
Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei.
Serie IX. Matematica e Applicazioni 17 (2006), 6985. 
[67] 
Solutions
of nonlinear Dirac equations (with Y. Ding).
Journal of Differential Equations 226 (2006), 210249 
[66] 
Configuration spaces, transfer, and 2nodal solutions of a
semiclassical nonlinear Schrödinger equation (with M. Clapp
and T. Weth).
Mathematische Annalen 338 (2007), 147185. 
[65] 
On the existence and the profile of nodal solutions of elliptic
equations involving critical growth (with A. M. Micheletti and A.
Pistoia).
Calculus of Variations and Partial Differential Equations 26
(2006), 265282 
[64] 
The
Dirichlet problem for superlinear elliptic equations (with
Z.Q. Wang and M. Willem)
Handbook of Differential Equations  Stationary Partial
Differential Equations, Vol. 2 (M. Chipot,
P. Quittner,
Eds.), Elsevier 2005, 155. 
[63] 
Hamiltonian systems: periodic and homoclinic solutions by
variational methods (with A. Szulkin)
Handbook of Differential Equations  Ordinary Differential
Equations, Vol. 2 (A. Canada, P. Drabek,
A. Fonda, Eds.), Elsevier 2005, 77146. 
[62] 
Existence
and nonexistence results for critical growth polyharmonic elliptic
systems (with Y. Guo)
Journal of Differential Equations 220 (2006), 531543 
[61] 
A
Priori Bounds, Nodal Equilibria and Connecting Orbits in Indefinite
Superlinear Parabolic Problems (with N. Ackermann, P. Kaplicky, P.
Quittner). Transactions of the American Mathematical Society 360 (2008), 34933539. 
[60] 
The
effect of the domain’s configuration space on the
number of nodal solutions of singularly perturbed
elliptic equations (with T. Weth).
Topological
Methods in Nonlinear Analysis 26 (2005), 109133 
[59] 
Deformation theorems on nonmetrizable vector spaces and applications
to critical point theory (with Y. Ding).
Mathematische Nachrichten 279 (2006), 12671288 
[58] 
Partial symmetry of least energy nodal solutions to some variational
problems (with T. Weth and M. Willem)
Journal d'Analyse Mathématique 96 (2005), 118. 
[57] 
Nodal
solutions of a pLaplacian equation (with Z. Liu and T.
Weth)
Proceedings of the London Mathematical Society (3) 91 (2005), 129152

[56] 
Three
nodal solutions of singularly perturbed elliptic equations on
domains without topology (with T. Weth)
Annales de l'Institut Henri Poincaré, Analyse
nonlinéaire 22 (2005), 259281. 
[55] 
Superstable
manifolds of semilinear parabolic problems (with N.
Ackermann)
Journal of Dynamics and Differential Equations 17 (2005), 115173

[54] 
Multiple
solutions to a critical polyharmonic equation. (with M. Schneider
and T. Weth)
Journal für die reine und angewandte Mathematik 571 (2004),
131143 
[53] 
Critical
equations for the polyharmonic operator.
Topological Methods, Variational Methods and their Applications,
H. Brezis, K.C. Chang, S.J. Li, P. Rabinowitz (eds.), World
Scientific 2003, 3543

[52] 
Location
and critical groups of critical points in Banach spaces with
an application to nonlinear eigenvalue problems.
(with Z. Liu)
Advances in Differential Equations 9 (2004), 645676

[51] 
Multiple
sign changing solutions of a quasilinear elliptic eigenvalue
problem involving the
pLaplacian (with Z. Liu)
Communications in Contemporary Mathematics 6 (2004),245258. 
[50] 
On
a superlinear elliptic pLaplacian equation. (with Z. Liu)
Journal of Differential Equations 198 (2004), 149175 
[49] 
Sign
changing solutions of superlinear Schrödinger equations. (with
Z. Liu and T. Weth)
Communications in Partial Differential Equations 29 (2004), 2542. 
[48] 
A
note on additional properties of sign changing solutions to superlinear
elliptic equations.
(with T. Weth)
Topological Methods in Nonlinear Analysis 22 (2003), 114 
[47] 
A
Sobolev inequality with remainder term and critical equations on domains
with topology
for the polyharmonic operator. (with T. Weth and M. Willem)
Calculus of Variations and Partial Differential Equations
18 (2003), 253286. 
[46] 
On
a nonlinear Schrödinger
equation with a deep potential well. (with A. Pankov and Z.Q.
Wang; in Russian)
Proceedings of the First Ukrainian Congress of Mathematics 2001,
Inst. Math, Nat. Acad. Sci. Ukraine, Kiev 2001, 514. 
[45] 
Linking,
positive invariance, and localization of critical points.
H. Brezis, S. J. Li, J. Q. Liu, and P. H. Rabinowitz (eds.),
Morse Theory, Minimax Theory and Their Applications to Nonlinear
Differential Equations, Lectures at the Morningside Center of
Mathematics, Beijing 1999, International Press, Cambridge MA 2003,
921. 
[44] 
Conley
Index.
Encyclopaedia of Mathematics, Supplement III, M. Hazewinkel (Ed.),
Kluwer Academic Publishers 2002, 110112. 
[43] 
Homoclinic
solutions of an infinitedimensional Hamiltonian system. (with Y. Ding)
Mathematische Zeitschrift 240 (2002), 289310. 
[42] 
Periodic
solutions of superlinear beam and membrane equations with perturbations
from
symmetry. (with Y. Ding)
Nonlinear Analysis 44 (2001), 727748. 
[41] 
Critical
point theory on partially ordered Hilbert spaces.
Journal of Functional Analysis 186 (2001), 117152. 
[40] 
Nonlinear
Schrödinger
equations with steep potential well. (with A. Pankov and Z.Q.
Wang)
Communications in Contemporary Mathematics 3 (2001), 549569.

[39] 
Extremal
sign changing solutions of semilinear Dirichlet problems.
in: K.C. Chang and Y. Long (eds.), Progress in Nonlinear Analysis,
Proceedings of the Second International Conference on Nonlinear Analysis,
Tianjin 1999, World Scientific, Singapur 2000 , 110. 
[38] 
On
the Morse indices of sign changing solutions of nonlinear elliptic problems. (with
K.C. Chang and Z.Q. Wang)
Mathematische Zeitschrift 233 (2000), 655677. 
[37] 
Multiple
positive solutions of a nonlinear Schrödinger equation. (with Z.Q. Wang)
Zeitschrift für angewandte Mathematik and Physik 51 (2000),
366384. 
[36] 
Critical
point theory with applications to asymptotically linear wave
and beam equations.
(with Y. Ding)
Differential and Integral Equations 13 (2000), 9731000. 
[35] 
On
a nonlinear Schrödinger
equation with periodic potential. (with Y. Ding)
Mathematische Annalen 313 (1999), 1537. 
[34] 
Periodic
solutions of a wave equation with concave and convex nonlinearities. (with
Y. Ding and C. Lee)
Journal of Differential Equations 152 (1999), 121141.

[33] 
Sign
changing solutions of nonlinear Schrödinger equations. (with Z.Q. Wang)
Topological Methods in Nonlinear Analysis 13 (1999), 191198.

[32] 
Infinitely
many solutions of nonlinear elliptic systems. (with D. G. de Figueiredo)
Progress in Nonlinear Differential Equations and Their Applications
35, J. Escher, C. Simonett (eds.), Birkhäuser, Basel 1998,
5167. 
[31] 
Critical
point theory for asymptotically quadratic functionals and applications
to problems
with resonance. (with S. Li)
Nonlinear Analysis: Theory, Methods and Applications 28 (1997),
419441. 
[30] 
Periodic
solutions of even Hamiltonian systems on the torus. (with Z.Q. Wang)
Mathematische Zeitschrift 224 (1997), 6576. 
[29] 
Periodic
solutions of spatially periodic, even Hamiltonian systems. (with Z.Q. Wang)
Journal of Differential Equations 135 (1997), 103128.

[28] 
A
generalization of the WeinsteinMoser theorems on periodic solutions
of a Hamiltonian
system near an equilibrium.
Annales de l'Institut Henri Poincaré, Analyse nonlinéaire
14 (1997), 691718. 
[27] 
Even
Hamiltonian systems on tori and cotangent spaces of tori. (with Z.Q. Wang)
in: Nonlinear Analysis, Theory, Methods & Applications 30 (1997),
41234134. Proceedings of the Second World Congress of Nonlinear Analysts,
Athens 1996. 
[26] 
Bifurcation
of stationary and heteroclinic orbits for parametrized gradientlike
flows.
Topology in Nonlinear Analysis, Banach Center Publications 35
(1996), 927. 
[25] 
BorsukUlam
theorems, the LusternikSchnirelmann category and index theories.
in: Lakshmikantham (ed.), Proceedings of the First World Congress
of Nonlinear Analysts, Tampa 1992, Vol. I, de Gruyter, Berlin
New York 1996, 537547. 
[24] 
Radial
and nonradial solutions of a nonlinear scalar field equation.
in: Lakshmikantham (ed.), Proceedings of the First World Congress
of Nonlinear Analysts, Tampa 1992, Vol. III, de Gruyter, Berlin
New York 1996, 21352146. 
[23] 
Critical
point theory for indefinite functionals with symmetries. (with M. Clapp)
Journal of Functional Analysis 138 (1996), 107136.

[22] 
On
the existence of sign changing solutions for semilinear Dirichlet
problems. (with
Z.Q. Wang)
Topological Methods in Nonlinear Analysis 7 (1996), 115131.

[21] 
Existence
and multiplicity results for some superlinear elliptic problems
on R^N. (with Z.Q.
Wang)
Communications in Partial Differential Equations 20 (1995),
17251741. 
[20] 
On
an elliptic equation with concave and convex nonlinearities. (with M. Willem)
Proceedings of the American Mathematical Society 123 (1995),
35553661. 
[19] 
Periodic
solutions of nonautonomous Hamiltonian systems with symmetries. (with M.
Willem)
Journal für die reine und angewandte Mathematik 451 (1994),
149159. 
[18] 
A
simple proof of the degree formula for Z/pequivariant maps.
Mathematische Zeitschrift 212 (1993), 285292. 
[17] 
Infinitely
many solutions of a symmetric Dirichlet Problem.
Nonlinear Analysis: Theory, Methods and Applications 20 (1993),
12051216. 
[16] 
Infinitely
many nonradial solutions of an Euclidean scalar field equation. (with M. Willem)
Journal of Functional Analysis 117 (1993), 447460.

[15] 
Infinitely
many radial solutions of a semilinear elliptic problem in R^n (with M. Willem)
Archive for Rational Mechanics and Analysis 124 (1993), 261276.

[14] 
Bifurcation
of steady states in a modified BelousovZhabotinskii reaction. (with M.
Kern)
Topological Methods in Nonlinear Analysis 2 (1993), 105124.

[13] 
The
Conley index over a space.
Mathematische Zeitschrift 209 (1992), 167177. 
[12] 
On
the existence of BorsukUlam theorems.
Topology 31 (1992), 533543. 
[11] 
The
compact category and multiple periodic orbits of symmetric starshaped
Hamiltonian systems.
(with M. Clapp)
Mathematische Annalen 293 (1992), 523542. 
[10] 
The
global structure of the zero set of a family of semilinear Fredholm
maps.
Nonlinear Analysis: Theory, Methods and Applications 17 (1991),
313331. 
[9] 
A
mountain pass theorem for actions of compact Lie groups. (with M. Clapp and D. Puppe)
Journal für die reine und angewandte Mathematik 419 (1991),
5566. 
[8] 
The
LeraySchauder degree of $S^1$equivariant operators associated
to autonomous neutral
equations in spaces of periodic functions. (with J. Mawhin)
Journal of Differential Equations 92 (1991), 9099.

[7] 
On
the genus of representation spheres.
Commentarii Mathematici Helvetici 65 (1990), 8595.

[6] 
Bifurcation
theory for symmetric potential operators and the equivariant
cuplength. (with M. Clapp)
Mathematische Zeitschrift 204 (1990), 341356. 
[5] 
Critical
points of symmetric functionals.
Manuscripta Mathematica 66 (1989), 129152. 
[4] 
Bifurcation theory
for metric parameter spaces.
in B. Jiang (ed.), Topological Fixed Point Theory and Applications,
Proceedings Tianjin 1988, Lecture Notes in Mathematics 1411,
SpringerVerlag, Berlin Heidelberg 1989, 18 
[3] 
A
global index for bifurcation of fixed points.
Journal für die reine und angewandte Mathematik 391 (1988),
181197. 
[2] 
The
role of the Jhomomorphism in multiparameter bifurcation theory.
Bulletin des Sciences mathématiques, 2e série, 112 (1988),
177184. 
[1] 
Algebra
im 13. Jahrhundert: Die Formel von Fibonacci.
Der mathematische und naturwissenschaftliche Unterricht 41
(1988), 463465. 