# zbMATH — the first resource for mathematics

## Bartsch, Thomas J.

Compute Distance To:
 Author ID: bartsch.thomas.1 Published as: Bartsch, T; Bartsch, T.; Bartsch, Th.; Bartsch, Thomas Homepage: http://www.uni-giessen.de/fbz/fb07/fachgebiete/mathematik/mathematik/ags/analysi... External Links: MGP · ResearchGate · dblp
 Documents Indexed: 120 Publications since 1986, including 2 Books Reviewing Activity: 218 Reviews
all top 5

#### Co-Authors

 22 single-authored 16 Wang, Zhi-Qiang 11 Weth, Tobias 10 Willem, Michel 7 Ding, Yanheng 7 Pistoia, Angela 6 Clapp, Mónica 6 Liu, Zhaoli 5 Dancer, Edward Norman 5 Peng, Shuangjie 4 Soave, Nicola 3 Ackermann, Nils 3 Mederski, Jarosław 2 Dai, Qianhui 2 D’Aprile, Teresa 2 Gebhard, Björn 2 Guo, Qianqiao 2 Jeanjean, Louis 2 Kaplický, Petr 2 Micheletti, Anna Maria 2 Pankov, Alexander A. 2 Quittner, Pavol 2 Szulkin, Andrzej 2 Zhang, Zhitao 1 Chang, Kung-Ching 1 Guedes de Figueiredo, Djairo 1 De Valeriola, Sébastien 1 Degiovanni, Marco 1 Dohnal, Tomáš 1 Drexl, Andreas 1 Glover, Fred W. 1 Grossi, Massimo 1 Guo, Yuxia 1 Jaworski, Barbara 1 Kern, Matthias 1 Kröger, Stefan 1 Lee, Cheng 1 Li, Shujie 1 Liu, Yanyan 1 Mandel, Rainer 1 Mawhin, Jean L. 1 Osman, Ibrahim Hassan 1 Pacella, Filomena 1 Parnet, Mona 1 Pesch, Erwin 1 Plum, Michael 1 Poláčik, Peter 1 Siegmund Puppe, Dieter 1 Reichel, Wolfgang 1 Sacchet, Matteo 1 Salewski, Frank 1 Schneider, Matthias 1 Tang, Zhongwei 1 Tian, Rushun 1 Treffert-Thomas, Stephanie 1 Wei, Juncheng
all top 5

#### Serials

 8 Journal of Differential Equations 7 Journal of Functional Analysis 6 Mathematische Zeitschrift 6 Topological Methods in Nonlinear Analysis 6 Calculus of Variations and Partial Differential Equations 5 Mathematische Annalen 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Fixed Point Theory and Applications 4 Nonlinear Analysis. Theory, Methods & Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Archiv der Mathematik 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Communications in Contemporary Mathematics 2 Oberwolfach Reports 2 SN Partial Differential Equations and Applications 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Bulletin of the London Mathematical Society 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Commentarii Mathematici Helvetici 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 International Journal of Production Research 1 Computers & Operations Research 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Rapport. Séminaire de Mathématique. Nouvelle Série 1 Journal of the European Mathematical Society (JEMS) 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Advanced Nonlinear Studies 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S
all top 5

#### Fields

 81 Partial differential equations (35-XX) 46 Global analysis, analysis on manifolds (58-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Operator theory (47-XX) 12 Ordinary differential equations (34-XX) 9 Algebraic topology (55-XX) 9 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

103 Publications have been cited 3,562 times in 2,142 Documents Cited by Year
Existence and multiplicity results for some superlinear elliptic problems on $$\mathbb{R}^ N$$. Zbl 0837.35043
Bartsch, Thomas; Wang, Zhi-Qiang
1995
Nonlinear Schrödinger equations with steep potential well. Zbl 1076.35037
Bartsch, Thomas; Pankov, Alexander; Wang, Zhi-Qiang
2001
Critical point theory for asymptotically quadratic functionals and applications to problems with resonance. Zbl 0872.58018
Bartsch, Thomas; Li, Shujie
1997
A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074
Bartsch, Thomas; Dancer, Norman; Wang, Zhi-Qiang
2010
On an elliptic equation with concave and convex nonlinearities. Zbl 0848.35039
Bartsch, Thomas; Willem, Michel
1995
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
Partial symmetry of least energy nodal solutions to some variational problems. Zbl 1206.35086
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2005
Bound states for a coupled Schrödinger system. Zbl 1153.35390
Bartsch, Thomas; Wang, Zhi-Qiang; Wei, Juncheng
2007
Note on ground states of nonlinear Schrödinger systems. Zbl 1104.35048
Bartsch, Thomas; Wang, Zhi-Qiang
2006
Deformation theorems on non-metrizable vector spaces and applications to critical point theory. Zbl 1117.58007
Bartsch, Thomas; Ding, Yanheng
2006
Three nodal solutions of singularly perturbed elliptic equations on domains without topology. Zbl 1114.35068
Bartsch, Thomas; Weth, Tobias
2005
Infinitely many solutions of a symmetric Dirichlet problem. Zbl 0799.35071
Bartsch, Thomas
1993
Infinitely many radial solutions of a semilinear elliptic problem on $$\mathbb{R}^ N$$. Zbl 0790.35020
Bartsch, Thomas; Willem, Michel
1993
Infinitely many nonradial solutions of a Euclidean scalar field equation. Zbl 0790.35021
Bartsch, Thomas; Willem, Michel
1993
On a superlinear elliptic $$p$$-Laplacian equation. Zbl 1087.35034
Bartsch, Thomas; Liu, Zhaoli
2004
On a nonlinear Schrödinger equation with periodic potential. Zbl 0927.35103
Bartsch, Thomas; Ding, Yanheng
1999
Multiple positive solutions for a nonlinear Schrödinger equation. Zbl 0972.35145
Bartsch, Thomas; Wang, Zhi-Qiang
2000
Topological methods for variational problems with symmetries. Zbl 0789.58001
Bartsch, Thomas
1993
On the existence of sign changing solutions for semilinear Dirichlet problems. Zbl 0903.58004
Bartsch, Thomas; Wang, Zhi-Qiang
1996
Nodal solutions of a $$p$$-Laplacian equation. Zbl 1162.35364
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2005
Critical point theory on partially ordered Hilbert spaces. Zbl 1211.58003
Bartsch, Thomas
2001
A note on additional properties of sign changing solutions to superlinear elliptic equations. Zbl 1094.35041
Bartsch, Thomas; Weth, Tobias
2003
On the Morse indices of sign changing solutions of nonlinear elliptic problems. Zbl 0946.35023
Bartsch, T.; Chang, K.-C.; Wang, Z.-Q.
2000
Infinitely many solutions of nonlinear elliptic systems. Zbl 0922.35049
Bartsch, Thomas; de Figueiredo, Djairo G.
1999
Solutions of nonlinear Dirac equations. Zbl 1126.49003
Bartsch, Thomas; Ding, Yanheng
2006
The Dirichlet problem for superlinear elliptic equations. Zbl 1207.35001
Bartsch, Thomas; Wang, Zhi-Qiang; Willem, Michael
2005
Homoclinic solutions of an infinite-dimensional Hamiltonian system. Zbl 1008.37040
Bartsch, Thomas; Ding, Yanheng
2002
Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1189.35092
Bartsch, Thomas; Peng, Shuangjie; Zhang, Zhitao
2007
A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator. Zbl 1059.31006
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2003
Normalized solutions for a system of coupled cubic Schrödinger equations on $$\mathbb R^3$$. Zbl 1347.35107
Bartsch, Thomas; Jeanjean, Louis; Soave, Nicola
2016
Normalized solutions of nonlinear Schrödinger equations. Zbl 1260.35098
Bartsch, Thomas; de Valeriola, Sébastien
2013
A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems. Zbl 06714264
Bartsch, Thomas; Soave, Nicola
2017
Critical point theory for indefinite functionals with symmetries. Zbl 0853.58027
Bartsch, Thomas; Clapp, Mónica
1996
Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential. Zbl 1284.35390
Bartsch, Thomas; Tang, Zhongwei
2013
Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain. Zbl 1315.35214
Bartsch, Thomas; Mederski, Jarosław
2015
Asymptotically radial solutions in expanding annular domains. Zbl 1276.35083
Bartsch, Thomas; Clapp, Mónica; Grossi, Massimo; Pacella, Filomena
2012
Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation. Zbl 1126.35061
Bartsch, Thomas; Clapp, Mónica; Weth, Tobias
2007
On the existence and the profile of nodal solutions of elliptic equations involving critical growth. Zbl 1104.35009
Bartsch, Thomas; Micheletti, Anna Maria; Pistoia, Angela
2006
Scheduling the professional soccer leagues of Austria and Germany. Zbl 1090.90072
Bartsch, Thomas; Drexl, Andreas; Kröger, Stefan
2006
Sign changing solutions of nonlinear Schrödinger equations. Zbl 0961.35150
Bartsch, Thomas; Wang, Zhi-Qiang
1999
Normalized solutions for nonlinear Schrödinger systems. Zbl 1393.35035
Bartsch, Thomas; Jeanjean, Louis
2018
$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations. Zbl 1195.35250
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2010
Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Zbl 1215.35041
Bartsch, Thomas; Poláčik, Peter; Quittner, Pavol
2011
On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1146.35081
Bartsch, Thomas; Dancer, E. Norman; Peng, Shuangjie
2006
Multiple normalized solutions for a competing system of Schrödinger equations. Zbl 1409.35076
Bartsch, Thomas; Soave, Nicola
2019
Critical points of the $$N$$-vortex Hamiltonian in bounded planar domains and steady state solutions of the incompressible Euler equations. Zbl 1317.35073
Bartsch, Thomas; Pistoia, Angela
2015
Multiple sign changing solutions of a quasilinear elliptic eigenvalue problem involving the $$p$$-Laplacian. Zbl 1086.35074
Bartsch, Thomas; Liu, Zhaoli
2004
Hamiltonian systems: Periodic and homoclinic solutions by variational methods. Zbl 1090.37045
Bartsch, Thomas; Szulkin, Andrzej
2005
Multiple solutions of a critical polyharmonic equation. Zbl 1071.35041
Bartsch, Thomas; Schneider, Matthias; Weth, Tobias
2004
Periodic solutions of non-autonomous Hamiltonian systems with symmetries. Zbl 0794.58037
Bartsch, Th.; Willem, M.
1994
Semiclassical symmetric Schrödinger equations: existence of solutions concentrating simultaneously on several spheres. Zbl 1133.35087
Bartsch, Thomas; Peng, Shuangjie
2007
Existence and nonexistence results for critical growth polyharmonic elliptic systems. Zbl 1189.35083
Bartsch, Thomas; Guo, Yuxia
2006
The effect of the domain’s configuration space on the number of nodal solutions of singularly perturbed elliptic equations. Zbl 1152.35039
Bartsch, Thomas; Weth, Tobias
2005
On the genus of representation spheres. Zbl 0704.57024
Bartsch, Thomas
1990
Periodic solutions of the $$N$$-vortex Hamiltonian system in planar domains. Zbl 1337.37043
Bartsch, Thomas; Dai, Qianhui
2016
A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Zbl 1143.37049
Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr; Quittner, Pavol
2008
Superstable manifolds of semilinear parabolic problems. Zbl 1129.35428
Ackermann, Nils; Bartsch, Thomas
2005
Bifurcation in a multicomponent system of nonlinear Schrödinger equations. Zbl 1281.35004
Bartsch, Thomas
2013
Critical-point theory with applications to asymptotically linear wave and beam equations. Zbl 0984.58005
Bartsch, T.; Ding, Y. H.
2000
On the existence of Borsuk-Ulam theorems. Zbl 0770.55003
Bartsch, Thomas
1992
The Leray-Schauder degree of $$S^ 1$$-equivariant operators associated to autonomous neutral equations in spaces of periodic functions. Zbl 0729.34064
Bartsch, Th.; Mawhin, J.
1991
Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium. Zbl 1386.35385
Bartsch, Thomas; Mederski, Jarosław
2017
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Zbl 1372.35292
Bartsch, Thomas; Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
2016
Global continua of periodic solutions of singular first-order Hamiltonian systems of $$N$$-vortex type. Zbl 1380.37120
Bartsch, Thomas; Gebhard, Björn
2017
Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry. Zbl 1088.35004
Bartsch, Thomas; Ding, Yanheng
2001
Nonlinear time-harmonic Maxwell equations in domains. Zbl 1364.35350
Bartsch, Thomas; Mederski, Jarosław
2017
Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries. Zbl 1288.35212
Bartsch, Thomas; D’Aprile, Teresa; Pistoia, Angela
2013
On the profile of sign-changing solutions of an almost critical problem in the ball. Zbl 1281.35044
Bartsch, Thomas; D’Aprile, Teresa; Pistoia, Angela
2013
Periodic solutions of a wave equation with concave and convex nonlinearities. Zbl 0926.35013
Bartsch, T.; Ding, Y. H.; Lee, C.
1999
A global index for bifurcation of fixed points. Zbl 0646.47041
Bartsch, Thomas
1988
Morse theory and nonlinear differential equations. Zbl 1236.58023
Bartsch, Thomas; Szulkin, Andrzej; Willem, Michel
2008
Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems. Zbl 1100.58005
Bartsch, Thomas; Liu, Zhaoli
2004
A generalization of the Weinstein-Moser theorems on periodic orbits of a Hamiltonian system near an equilibrium. Zbl 0891.58034
Bartsch, Thomas
1997
The Conley index over a space. Zbl 0725.58037
Bartsch, Thomas
1992
A mountain pass theorem for actions of compact Lie groups. Zbl 0731.58016
Bartsch, Thomas; Clapp, Mónica; Puppe, Dieter
1991
Periodic solutions with prescribed minimal period of vortex type problems in domains. Zbl 1405.37069
Bartsch, Thomas; Sacchet, Matteo
2018
Correction to: “A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems”. Zbl 1434.35011
Bartsch, Thomas; Soave, Nicola
2018
On the Fučik point spectrum for Schrödinger operators on $$\mathbb R^N$$. Zbl 1211.35091
Bartsch, Thomas; Wang, Zhi-Qiang; Zhang, Zhitao
2009
Nodal solutions of nonlinear elliptic Dirichlet problems on radial domains. Zbl 1126.35024
Bartsch, Thomas; Degiovanni, Marco
2006
Efficient facility layout planning in a maximally planar graph model. Zbl 0940.90533
Pesch, E.; Glover, F.; Bartsch, T.; Salewski, F.; Osman, I.
1999
The global structure of the zero set of a family of semilinear Fredholm maps. Zbl 0812.47060
Bartsch, Thomas
1991
Bifurcation theory for symmetric potential operators and the equivariant cup-length. Zbl 0682.58037
Bartsch, Thomas; Clapp, Monica
1990
The Morse property for functions of Kirchhoff-Routh path type. Zbl 07097944
Bartsch, Thomas; Micheletti, Anna Maria; Pistoia, Angela
2019
Periodic solutions of $$N$$-vortex type Hamiltonian systems near the domain boundary. Zbl 1386.37060
Dai, Qianhui; Gebhard, Björn; Bartsch, Thomas
2018
Erratum to: “$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations”. Zbl 1305.35111
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2015
Some critical minimization problems for functions of bounded variations. Zbl 1201.49006
Bartsch, Thomas; Willem, Michel
2010
Critical orbits of symmetric functionals. Zbl 0755.58018
Bartsch, Thomas
1989
Periodic solutions of singular first-order Hamiltonian systems of $$N$$-vortex type. Zbl 1351.37232
Bartsch, Thomas
2016
Bifurcations for a coupled Schrödinger system with multiple components. Zbl 1330.35134
Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang
2015
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. II. Zbl 1195.35143
Bartsch, Thomas; Peng, Shuangjie
2010
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. I. Zbl 1155.35026
Bartsch, Thomas; Peng, Shuangjie
2008
Periodic solutions of even Hamiltonian systems on the torus. Zbl 0870.34046
Bartsch, Thomas; Wang, Zhi-Qiang
1997
The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces. Zbl 0735.58029
Bartsch, Thomas; Clapp, Mónica
1992
Nonlinear Schrödinger equations near an infinite well potential. Zbl 1298.35186
Bartsch, Thomas; Parnet, Mona
2014
Poincaré-Hopf type formulas on convex sets of Banach spaces. Zbl 1196.37034
Bartsch, Thomas; Dancer, Norman
2009
An invariant set generated by the domain topology for parabolic semiflows with small diffusion. Zbl 1139.35053
Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr
2007
A simple proof of the degree formula for $$(\mathbb{Z}/p)$$-equivariant maps. Zbl 0790.55003
Bartsch, Thomas
1993
Nodal blow-up solutions to slightly subcritical elliptic problems with Hardy-critical term. Zbl 1359.35063
Bartsch, Thomas; Guo, Qianqiao
2017
Critical equations for the polyharmonic operator. Zbl 1205.35074
Bartsch, Thomas
2003
Periodic solutions of spatially periodic, even Hamiltonian systems. Zbl 0872.58050
Bartsch, Thomas; Wang, Zhi-Qiang
1997
Multiple normalized solutions for a competing system of Schrödinger equations. Zbl 1409.35076
Bartsch, Thomas; Soave, Nicola
2019
The Morse property for functions of Kirchhoff-Routh path type. Zbl 07097944
Bartsch, Thomas; Micheletti, Anna Maria; Pistoia, Angela
2019
Normalized solutions for nonlinear Schrödinger systems. Zbl 1393.35035
Bartsch, Thomas; Jeanjean, Louis
2018
Periodic solutions with prescribed minimal period of vortex type problems in domains. Zbl 1405.37069
Bartsch, Thomas; Sacchet, Matteo
2018
Correction to: “A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems”. Zbl 1434.35011
Bartsch, Thomas; Soave, Nicola
2018
Periodic solutions of $$N$$-vortex type Hamiltonian systems near the domain boundary. Zbl 1386.37060
Dai, Qianhui; Gebhard, Björn; Bartsch, Thomas
2018
A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems. Zbl 06714264
Bartsch, Thomas; Soave, Nicola
2017
Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium. Zbl 1386.35385
Bartsch, Thomas; Mederski, Jarosław
2017
Global continua of periodic solutions of singular first-order Hamiltonian systems of $$N$$-vortex type. Zbl 1380.37120
Bartsch, Thomas; Gebhard, Björn
2017
Nonlinear time-harmonic Maxwell equations in domains. Zbl 1364.35350
Bartsch, Thomas; Mederski, Jarosław
2017
Nodal blow-up solutions to slightly subcritical elliptic problems with Hardy-critical term. Zbl 1359.35063
Bartsch, Thomas; Guo, Qianqiao
2017
Normalized solutions for a system of coupled cubic Schrödinger equations on $$\mathbb R^3$$. Zbl 1347.35107
Bartsch, Thomas; Jeanjean, Louis; Soave, Nicola
2016
Periodic solutions of the $$N$$-vortex Hamiltonian system in planar domains. Zbl 1337.37043
Bartsch, Thomas; Dai, Qianhui
2016
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Zbl 1372.35292
Bartsch, Thomas; Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
2016
Periodic solutions of singular first-order Hamiltonian systems of $$N$$-vortex type. Zbl 1351.37232
Bartsch, Thomas
2016
Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain. Zbl 1315.35214
Bartsch, Thomas; Mederski, Jarosław
2015
Critical points of the $$N$$-vortex Hamiltonian in bounded planar domains and steady state solutions of the incompressible Euler equations. Zbl 1317.35073
Bartsch, Thomas; Pistoia, Angela
2015
Erratum to: “$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations”. Zbl 1305.35111
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2015
Bifurcations for a coupled Schrödinger system with multiple components. Zbl 1330.35134
Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang
2015
Nonlinear Schrödinger equations near an infinite well potential. Zbl 1298.35186
Bartsch, Thomas; Parnet, Mona
2014
Normalized solutions of nonlinear Schrödinger equations. Zbl 1260.35098
Bartsch, Thomas; de Valeriola, Sébastien
2013
Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential. Zbl 1284.35390
Bartsch, Thomas; Tang, Zhongwei
2013
Bifurcation in a multicomponent system of nonlinear Schrödinger equations. Zbl 1281.35004
Bartsch, Thomas
2013
Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries. Zbl 1288.35212
Bartsch, Thomas; D’Aprile, Teresa; Pistoia, Angela
2013
On the profile of sign-changing solutions of an almost critical problem in the ball. Zbl 1281.35044
Bartsch, Thomas; D’Aprile, Teresa; Pistoia, Angela
2013
Asymptotically radial solutions in expanding annular domains. Zbl 1276.35083
Bartsch, Thomas; Clapp, Mónica; Grossi, Massimo; Pacella, Filomena
2012
Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Zbl 1215.35041
Bartsch, Thomas; Poláčik, Peter; Quittner, Pavol
2011
A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074
Bartsch, Thomas; Dancer, Norman; Wang, Zhi-Qiang
2010
$$N$$-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations. Zbl 1195.35250
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias
2010
Some critical minimization problems for functions of bounded variations. Zbl 1201.49006
Bartsch, Thomas; Willem, Michel
2010
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. II. Zbl 1195.35143
Bartsch, Thomas; Peng, Shuangjie
2010
On the Fučik point spectrum for Schrödinger operators on $$\mathbb R^N$$. Zbl 1211.35091
Bartsch, Thomas; Wang, Zhi-Qiang; Zhang, Zhitao
2009
Poincaré-Hopf type formulas on convex sets of Banach spaces. Zbl 1196.37034
Bartsch, Thomas; Dancer, Norman
2009
A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Zbl 1143.37049
Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr; Quittner, Pavol
2008
Morse theory and nonlinear differential equations. Zbl 1236.58023
Bartsch, Thomas; Szulkin, Andrzej; Willem, Michel
2008
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. I. Zbl 1155.35026
Bartsch, Thomas; Peng, Shuangjie
2008
Bound states for a coupled Schrödinger system. Zbl 1153.35390
Bartsch, Thomas; Wang, Zhi-Qiang; Wei, Juncheng
2007
Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1189.35092
Bartsch, Thomas; Peng, Shuangjie; Zhang, Zhitao
2007
Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation. Zbl 1126.35061
Bartsch, Thomas; Clapp, Mónica; Weth, Tobias
2007
Semiclassical symmetric Schrödinger equations: existence of solutions concentrating simultaneously on several spheres. Zbl 1133.35087
Bartsch, Thomas; Peng, Shuangjie
2007
An invariant set generated by the domain topology for parabolic semiflows with small diffusion. Zbl 1139.35053
Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr
2007
Note on ground states of nonlinear Schrödinger systems. Zbl 1104.35048
Bartsch, Thomas; Wang, Zhi-Qiang
2006
Deformation theorems on non-metrizable vector spaces and applications to critical point theory. Zbl 1117.58007
Bartsch, Thomas; Ding, Yanheng
2006
Solutions of nonlinear Dirac equations. Zbl 1126.49003
Bartsch, Thomas; Ding, Yanheng
2006
On the existence and the profile of nodal solutions of elliptic equations involving critical growth. Zbl 1104.35009
Bartsch, Thomas; Micheletti, Anna Maria; Pistoia, Angela
2006
Scheduling the professional soccer leagues of Austria and Germany. Zbl 1090.90072
Bartsch, Thomas; Drexl, Andreas; Kröger, Stefan
2006
On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1146.35081
Bartsch, Thomas; Dancer, E. Norman; Peng, Shuangjie
2006
Existence and nonexistence results for critical growth polyharmonic elliptic systems. Zbl 1189.35083
Bartsch, Thomas; Guo, Yuxia
2006
Nodal solutions of nonlinear elliptic Dirichlet problems on radial domains. Zbl 1126.35024
Bartsch, Thomas; Degiovanni, Marco
2006
Partial symmetry of least energy nodal solutions to some variational problems. Zbl 1206.35086
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2005
Three nodal solutions of singularly perturbed elliptic equations on domains without topology. Zbl 1114.35068
Bartsch, Thomas; Weth, Tobias
2005
Nodal solutions of a $$p$$-Laplacian equation. Zbl 1162.35364
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2005
The Dirichlet problem for superlinear elliptic equations. Zbl 1207.35001
Bartsch, Thomas; Wang, Zhi-Qiang; Willem, Michael
2005
Hamiltonian systems: Periodic and homoclinic solutions by variational methods. Zbl 1090.37045
Bartsch, Thomas; Szulkin, Andrzej
2005
The effect of the domain’s configuration space on the number of nodal solutions of singularly perturbed elliptic equations. Zbl 1152.35039
Bartsch, Thomas; Weth, Tobias
2005
Superstable manifolds of semilinear parabolic problems. Zbl 1129.35428
Ackermann, Nils; Bartsch, Thomas
2005
Sign changing solutions of superlinear Schrödinger equations. Zbl 1140.35410
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2004
On a superlinear elliptic $$p$$-Laplacian equation. Zbl 1087.35034
Bartsch, Thomas; Liu, Zhaoli
2004
Multiple sign changing solutions of a quasilinear elliptic eigenvalue problem involving the $$p$$-Laplacian. Zbl 1086.35074
Bartsch, Thomas; Liu, Zhaoli
2004
Multiple solutions of a critical polyharmonic equation. Zbl 1071.35041
Bartsch, Thomas; Schneider, Matthias; Weth, Tobias
2004
Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems. Zbl 1100.58005
Bartsch, Thomas; Liu, Zhaoli
2004
A note on additional properties of sign changing solutions to superlinear elliptic equations. Zbl 1094.35041
Bartsch, Thomas; Weth, Tobias
2003
A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator. Zbl 1059.31006
Bartsch, Thomas; Weth, Tobias; Willem, Michel
2003
Critical equations for the polyharmonic operator. Zbl 1205.35074
Bartsch, Thomas
2003
Homoclinic solutions of an infinite-dimensional Hamiltonian system. Zbl 1008.37040
Bartsch, Thomas; Ding, Yanheng
2002
Nonlinear Schrödinger equations with steep potential well. Zbl 1076.35037
Bartsch, Thomas; Pankov, Alexander; Wang, Zhi-Qiang
2001
Critical point theory on partially ordered Hilbert spaces. Zbl 1211.58003
Bartsch, Thomas
2001
Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry. Zbl 1088.35004
Bartsch, Thomas; Ding, Yanheng
2001
Multiple positive solutions for a nonlinear Schrödinger equation. Zbl 0972.35145
Bartsch, Thomas; Wang, Zhi-Qiang
2000
On the Morse indices of sign changing solutions of nonlinear elliptic problems. Zbl 0946.35023
Bartsch, T.; Chang, K.-C.; Wang, Z.-Q.
2000
Critical-point theory with applications to asymptotically linear wave and beam equations. Zbl 0984.58005
Bartsch, T.; Ding, Y. H.
2000
On a nonlinear Schrödinger equation with periodic potential. Zbl 0927.35103
Bartsch, Thomas; Ding, Yanheng
1999
Infinitely many solutions of nonlinear elliptic systems. Zbl 0922.35049
Bartsch, Thomas; de Figueiredo, Djairo G.
1999
Sign changing solutions of nonlinear Schrödinger equations. Zbl 0961.35150
Bartsch, Thomas; Wang, Zhi-Qiang
1999
Periodic solutions of a wave equation with concave and convex nonlinearities. Zbl 0926.35013
Bartsch, T.; Ding, Y. H.; Lee, C.
1999
Efficient facility layout planning in a maximally planar graph model. Zbl 0940.90533
Pesch, E.; Glover, F.; Bartsch, T.; Salewski, F.; Osman, I.
1999
Critical point theory for asymptotically quadratic functionals and applications to problems with resonance. Zbl 0872.58018
Bartsch, Thomas; Li, Shujie
1997
A generalization of the Weinstein-Moser theorems on periodic orbits of a Hamiltonian system near an equilibrium. Zbl 0891.58034
Bartsch, Thomas
1997
Periodic solutions of even Hamiltonian systems on the torus. Zbl 0870.34046
Bartsch, Thomas; Wang, Zhi-Qiang
1997
Periodic solutions of spatially periodic, even Hamiltonian systems. Zbl 0872.58050
Bartsch, Thomas; Wang, Zhi-Qiang
1997
On the existence of sign changing solutions for semilinear Dirichlet problems. Zbl 0903.58004
Bartsch, Thomas; Wang, Zhi-Qiang
1996
Critical point theory for indefinite functionals with symmetries. Zbl 0853.58027
Bartsch, Thomas; Clapp, Mónica
1996
Radial and nonradial solutions of a nonlinear scalar field equation. Zbl 0845.35025
Bartsch, Thomas
1996
Existence and multiplicity results for some superlinear elliptic problems on $$\mathbb{R}^ N$$. Zbl 0837.35043
Bartsch, Thomas; Wang, Zhi-Qiang
1995
On an elliptic equation with concave and convex nonlinearities. Zbl 0848.35039
Bartsch, Thomas; Willem, Michel
1995
Periodic solutions of non-autonomous Hamiltonian systems with symmetries. Zbl 0794.58037
Bartsch, Th.; Willem, M.
1994
Infinitely many solutions of a symmetric Dirichlet problem. Zbl 0799.35071
Bartsch, Thomas
1993
Infinitely many radial solutions of a semilinear elliptic problem on $$\mathbb{R}^ N$$. Zbl 0790.35020
Bartsch, Thomas; Willem, Michel
1993
Infinitely many nonradial solutions of a Euclidean scalar field equation. Zbl 0790.35021
Bartsch, Thomas; Willem, Michel
1993
Topological methods for variational problems with symmetries. Zbl 0789.58001
Bartsch, Thomas
1993
A simple proof of the degree formula for $$(\mathbb{Z}/p)$$-equivariant maps. Zbl 0790.55003
Bartsch, Thomas
1993
On an elliptic equation with concave and convex nonlinearities. Zbl 0837.35049
Bartsch, Thomas; Willem, Michel
1993
On the existence of Borsuk-Ulam theorems. Zbl 0770.55003
Bartsch, Thomas
1992
The Conley index over a space. Zbl 0725.58037
Bartsch, Thomas
1992
The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces. Zbl 0735.58029
Bartsch, Thomas; Clapp, Mónica
1992
The Leray-Schauder degree of $$S^ 1$$-equivariant operators associated to autonomous neutral equations in spaces of periodic functions. Zbl 0729.34064
Bartsch, Th.; Mawhin, J.
1991
A mountain pass theorem for actions of compact Lie groups. Zbl 0731.58016
Bartsch, Thomas; Clapp, Mónica; Puppe, Dieter
1991
The global structure of the zero set of a family of semilinear Fredholm maps. Zbl 0812.47060
Bartsch, Thomas
1991
On the genus of representation spheres. Zbl 0704.57024
Bartsch, Thomas
1990
Bifurcation theory for symmetric potential operators and the equivariant cup-length. Zbl 0682.58037
Bartsch, Thomas; Clapp, Monica
1990
...and 3 more Documents
all top 5

#### Cited by 1,580 Authors

 69 Tang, Xianhua 62 Wang, Zhi-Qiang 57 Bartsch, Thomas J. 54 Ding, Yanheng 53 Papageorgiou, Nikolaos S. 47 Zou, Wenming 34 Alves, Claudianor Oliveira 34 Su, Jiabao 34 Zhang, Jian 32 Chen, Haibo 31 Peng, Shuangjie 31 Tang, Zhongwei 29 Weth, Tobias 28 Wang, Jun 27 Rădulescu, Vicenţiu D. 27 Zhang, Zhitao 26 Pistoia, Angela 26 Zhang, Fubao 26 Zhang, Wen 25 Clapp, Mónica 25 Wei, Juncheng 23 Figueiredo, Giovany Malcher 23 Guo, Yuxia 22 Li, Shujie 22 Liu, Zhaoli 22 Yang, Minbo 21 Pacella, Filomena 19 Wu, Tsung-fang 19 Xu, Junxiang 19 Zhao, Fukun 18 Sun, Juntao 18 Tang, Chun-Lei 17 Huang, Yisheng 17 Liu, Jiaquan 17 Liu, Xiangqing 16 Schechter, Martin 15 Deng, Yinbin 15 Liu, Shibo 15 Ma, Shiwang 15 Maia, Liliane A. 15 Wu, Xian 15 Zhang, Jihui 15 Zhao, Leiga 14 Li, Gongbao 14 Mederski, Jarosław 14 Zhang, Binlin 13 Cao, Daomin 13 Da Silva, Edcarlos Domingos 13 Furtado, Marcelo Fernandes 13 Jeanjean, Louis 13 Mao, Anmin 13 Miyagaki, Olimpio Hiroshi 13 Wu, Yuanze 12 Cheng, Bitao 12 Qin, Dongdong 12 Szulkin, Andrzej 12 Tavares, Hugo 12 Wang, Chunhua 11 Ackermann, Nils 11 Balanov, Zalman I. 11 Chen, Sitong 11 Molica Bisci, Giovanni 11 Sun, Mingzheng 11 Tang, Chunlei 11 Zeng, Xiaoyu 11 Zhou, Huan-Song 10 Batkam, Cyril Joel 10 Bonheure, Denis 10 Han, Zhiqing 10 He, Tieshan 10 Kristály, Alexandru 10 Rybicki, Sławomir Maciej 10 Soave, Nicola 10 Tian, Rushun 10 Van Schaftingen, Jean 10 Willem, Michel 10 Wu, Tsungfang 9 D’Aprile, Teresa 9 Deng, Zhiying 9 Gasiński, Leszek 9 Gladiali, Francesca 9 He, Xiaoming 9 Li, Lin 9 Lü, Dengfeng 9 Moreira dos Santos, Ederson 9 O’Regan, Donal 9 Shi, Junping 9 Shuai, Wei 9 Sun, Jijiang 9 Tanaka, Kazunaga 9 Xiang, Mingqi 8 Byeon, Jaeyoung 8 Chen, Guanwei 8 Chen, Jianqing 8 Chen, Shaowei 8 Kang, Dongsheng 8 Krawcewicz, Wieslaw Z. 8 Li, Anran 8 Li, Fuyi 8 Liang, Zhanping ...and 1,480 more Authors
all top 5

#### Cited in 216 Serials

 230 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 228 Journal of Mathematical Analysis and Applications 159 Journal of Differential Equations 90 Calculus of Variations and Partial Differential Equations 60 Journal of Mathematical Physics 56 Discrete and Continuous Dynamical Systems 55 Boundary Value Problems 53 Communications on Pure and Applied Analysis 45 Journal of Functional Analysis 40 Advanced Nonlinear Studies 39 Communications in Contemporary Mathematics 36 ZAMP. Zeitschrift für angewandte Mathematik und Physik 34 Applied Mathematics Letters 33 Annali di Matematica Pura ed Applicata. Serie Quarta 31 Applicable Analysis 31 Computers & Mathematics with Applications 30 Mathematical Methods in the Applied Sciences 28 Applied Mathematics and Computation 28 Nonlinear Analysis. Real World Applications 28 Complex Variables and Elliptic Equations 26 NoDEA. Nonlinear Differential Equations and Applications 26 Journal of Fixed Point Theory and Applications 25 Archive for Rational Mechanics and Analysis 23 Transactions of the American Mathematical Society 23 Abstract and Applied Analysis 21 Communications in Partial Differential Equations 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Advances in Nonlinear Analysis 18 Topological Methods in Nonlinear Analysis 18 Science China. Mathematics 17 Mediterranean Journal of Mathematics 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Proceedings of the American Mathematical Society 12 Nonlinearity 12 Mathematische Nachrichten 12 Advances in Difference Equations 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Acta Mathematica Sinica. English Series 10 Monatshefte für Mathematik 10 Nonlinear Analysis. Theory, Methods & Applications 9 Manuscripta Mathematica 9 Acta Applicandae Mathematicae 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 9 Journal of Dynamics and Differential Equations 9 Electronic Journal of Differential Equations (EJDE) 8 Advances in Mathematics 8 Acta Mathematicae Applicatae Sinica. English Series 8 Computers & Operations Research 8 European Journal of Operational Research 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 SN Partial Differential Equations and Applications 7 Rocky Mountain Journal of Mathematics 7 Mathematische Annalen 7 Topology and its Applications 7 Journal of the European Mathematical Society (JEMS) 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Journal of Function Spaces 6 Journal d’Analyse Mathématique 6 Archiv der Mathematik 6 Glasgow Mathematical Journal 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Science in China. Series A 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of Applied Analysis and Computation 5 Indian Journal of Pure & Applied Mathematics 5 Mathematische Zeitschrift 5 Results in Mathematics 5 Revista Matemática Iberoamericana 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Applied Mathematics and Computing 4 Communications in Mathematical Physics 4 Israel Journal of Mathematics 4 Journal of the Korean Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Discrete Dynamics in Nature and Society 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Milan Journal of Mathematics 4 Frontiers of Mathematics in China 4 Advances in Mathematical Physics 3 Journal of Computational and Applied Mathematics 3 Kodai Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 Tokyo Journal of Mathematics 3 Mathematical and Computer Modelling 3 The Journal of Geometric Analysis 3 SIAM Journal on Mathematical Analysis 3 Potential Analysis 3 International Transactions in Operational Research 3 Mathematical Problems in Engineering 3 Taiwanese Journal of Mathematics 3 Journal of Inequalities and Applications 3 Journal of Dynamical and Control Systems 3 Journal of the Australian Mathematical Society 3 Analysis and Applications (Singapore) 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Nonlinear Science and Applications 3 Journal of Elliptic and Parabolic Equations ...and 116 more Serials
all top 5

#### Cited in 44 Fields

 1,826 Partial differential equations (35-XX) 342 Global analysis, analysis on manifolds (58-XX) 196 Operator theory (47-XX) 160 Ordinary differential equations (34-XX) 155 Dynamical systems and ergodic theory (37-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 72 Quantum theory (81-XX) 58 Functional analysis (46-XX) 36 Optics, electromagnetic theory (78-XX) 33 Difference and functional equations (39-XX) 33 Mechanics of particles and systems (70-XX) 31 Algebraic topology (55-XX) 28 Fluid mechanics (76-XX) 28 Operations research, mathematical programming (90-XX) 24 Real functions (26-XX) 24 Numerical analysis (65-XX) 16 Differential geometry (53-XX) 16 Manifolds and cell complexes (57-XX) 15 Potential theory (31-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Integral equations (45-XX) 11 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 8 Combinatorics (05-XX) 6 Convex and discrete geometry (52-XX) 6 Probability theory and stochastic processes (60-XX) 4 Topological groups, Lie groups (22-XX) 4 General topology (54-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 $$K$$-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Relativity and gravitational theory (83-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX)