## Bartsch, Thomas J.

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 Author ID: bartsch.thomas.1 Published as: Bartsch, Thomas; Bartsch, T.; Bartsch, Th.; Bartsch, T more...less Homepage: http://www.uni-giessen.de/fbz/fb07/fachgebiete/mathematik/mathematik/ags/analysi... External Links: MGP · ResearchGate · dblp
 Documents Indexed: 121 Publications since 1986, including 2 Books 2 Contributions as Editor Reviewing Activity: 229 Reviews Co-Authors: 53 Co-Authors with 96 Joint Publications 1,300 Co-Co-Authors
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### 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 Guo, Qianqiao 3 Mederski, Jarosław 2 Dai, Qianhui 2 D’Aprile, Teresa 2 Gebhard, Björn 2 Jeanjean, Louis 2 Kaplický, Petr 2 Micheletti, Anna Maria 2 Pankov, Alexander A. 2 Quittner, Pavol 2 Szulkin, Andrzej 2 Xu, Tian 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 Kröger, Stefan 1 Lee, Cheng 1 Li, Shujie 1 Liu, Yanyan 1 Mandel, Rainer 1 Mawhin, Jean L. 1 Molle, Riccardo 1 Pacella, Filomena 1 Parnet, Mona 1 Pesch, Erwin 1 Plum, Michael 1 Poláčik, Peter 1 Siegmund Puppe, Dieter 1 Reichel, Wolfgang 1 Rizzi, Matteo 1 Sacchet, Matteo 1 Salewski, Frank 1 Schneider, Matthias 1 Tang, Zhongwei 1 Tian, Rushun 1 Treffert-Thomas, Stephanie 1 Verzini, Gianmaria 1 Wei, Juncheng 1 Zhong, Xuexiu 1 Zou, Wenming
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### Serials

 8 Journal of Differential Equations 8 Journal of Functional Analysis 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 Topological Methods in Nonlinear Analysis 6 Calculus of Variations and Partial Differential Equations 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 3 Communications in Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Archiv der Mathematik 2 SIAM Journal on Applied Mathematics 2 Advances in Differential Equations 2 Communications in Contemporary Mathematics 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 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
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### Fields

 86 Partial differential equations (35-XX) 47 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 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 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 Differential geometry (53-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

108 Publications have been cited 4,110 times in 2,454 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
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
Deformation theorems on non-metrizable vector spaces and applications to critical point theory. Zbl 1117.58007
Bartsch, Thomas; Ding, Yanheng
2006
On a superlinear elliptic $$p$$-Laplacian equation. Zbl 1087.35034
Bartsch, Thomas; Liu, Zhaoli
2004
Infinitely many nonradial solutions of a Euclidean scalar field equation. Zbl 0790.35021
Bartsch, Thomas; Willem, Michel
1993
Nodal solutions of a $$p$$-Laplacian equation. Zbl 1162.35364
Bartsch, Thomas; Liu, Zhaoli; Weth, Tobias
2005
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
On the existence of sign changing solutions for semilinear Dirichlet problems. Zbl 0903.58004
Bartsch, Thomas; Wang, Zhi-Qiang
1996
A note on additional properties of sign changing solutions to superlinear elliptic equations. Zbl 1094.35041
Bartsch, Thomas; Weth, Tobias
2003
Topological methods for variational problems with symmetries. Zbl 0789.58001
Bartsch, Thomas
1993
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 on partially ordered Hilbert spaces. Zbl 1211.58003
Bartsch, Thomas
2001
A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1485.35173
Bartsch, Thomas; Soave, Nicola
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
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
Normalized solutions of nonlinear Schrödinger equations. Zbl 1260.35098
Bartsch, Thomas; de Valeriola, Sébastien
2013
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
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
The Dirichlet problem for superlinear elliptic equations. Zbl 1207.35001
Bartsch, Thomas; Wang, Zhi-Qiang; Willem, Michael
2005
Multiple normalized solutions for a competing system of Schrödinger equations. Zbl 1409.35076
Bartsch, Thomas; Soave, Nicola
2019
Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential. Zbl 1284.35390
Bartsch, Thomas; Tang, Zhongwei
2013
Critical point theory for indefinite functionals with symmetries. Zbl 0853.58027
Bartsch, Thomas; Clapp, Mónica
1996
Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain. Zbl 1315.35214
Bartsch, Thomas; Mederski, Jarosław
2015
Normalized solutions for nonlinear Schrödinger systems. Zbl 1393.35035
Bartsch, Thomas; Jeanjean, Louis
2018
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
Asymptotically radial solutions in expanding annular domains. Zbl 1276.35083
Bartsch, Thomas; Clapp, Mónica; Grossi, Massimo; Pacella, Filomena
2012
$$N$$-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
Sign changing solutions of nonlinear Schrödinger equations. Zbl 0961.35150
Bartsch, Thomas; Wang, Zhi-Qiang
1999
Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation. Zbl 1126.35061
Bartsch, Thomas; Clapp, Mónica; Weth, Tobias
2007
Scheduling the professional soccer leagues of Austria and Germany. Zbl 1090.90072
Bartsch, Thomas; Drexl, Andreas; Kröger, Stefan
2006
Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Zbl 1215.35041
Bartsch, Thomas; Poláčik, Peter; Quittner, Pavol
2011
Multiple solutions of a critical polyharmonic equation. Zbl 1071.35041
Bartsch, Thomas; Schneider, Matthias; Weth, Tobias
2004
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
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 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
Semiclassical symmetric Schrödinger equations: existence of solutions concentrating simultaneously on several spheres. Zbl 1133.35087
Bartsch, Thomas; Peng, Shuangjie
2007
Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium. Zbl 1386.35385
Bartsch, Thomas; Mederski, Jarosław
2017
Periodic solutions of non-autonomous Hamiltonian systems with symmetries. Zbl 0794.58037
Bartsch, Th.; Willem, M.
1994
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
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Zbl 1372.35292
Bartsch, Thomas; Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
2016
Existence and nonexistence results for critical growth polyharmonic elliptic systems. Zbl 1189.35083
Bartsch, Thomas; Guo, Yuxia
2006
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
Periodic solutions of the $$N$$-vortex Hamiltonian system in planar domains. Zbl 1337.37043
Bartsch, Thomas; Dai, Qianhui
2016
On the genus of representation spheres. Zbl 0704.57024
Bartsch, Thomas
1990
Bifurcation in a multicomponent system of nonlinear Schrödinger equations. Zbl 1281.35004
Bartsch, Thomas
2013
Superstable manifolds of semilinear parabolic problems. Zbl 1129.35428
Ackermann, Nils; Bartsch, Thomas
2005
Global continua of periodic solutions of singular first-order Hamiltonian systems of $$N$$-vortex type. Zbl 1380.37120
Bartsch, Thomas; Gebhard, Björn
2017
Normalized solutions for a coupled Schrödinger system. Zbl 1479.35762
Bartsch, Thomas; Zhong, Xuexiu; Zou, Wenming
2021
Nonlinear time-harmonic Maxwell equations in domains. Zbl 1364.35350
Bartsch, Thomas; Mederski, Jarosław
2017
Critical-point theory with applications to asymptotically linear wave and beam equations. Zbl 0984.58005
Bartsch, T.; Ding, Y. H.
2000
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
On the existence of Borsuk-Ulam theorems. Zbl 0770.55003
Bartsch, Thomas
1992
Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry. Zbl 1088.35004
Bartsch, Thomas; Ding, Yanheng
2001
Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries. Zbl 1288.35212
Bartsch, Thomas; D’Aprile, Teresa; Pistoia, Angela
2013
A global index for bifurcation of fixed points. Zbl 0646.47041
Bartsch, Thomas
1988
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
Morse theory and nonlinear differential equations. Zbl 1236.58023
Bartsch, Thomas; Szulkin, Andrzej; Willem, Michel
2008
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 a wave equation with concave and convex nonlinearities. Zbl 0926.35013
Bartsch, T.; Ding, Y. H.; Lee, C.
1999
The Morse property for functions of Kirchhoff-Routh path type. Zbl 1475.35127
Bartsch, Thomas; Micheletti, Anna Maria; Pistoia, Angela
2019
Bifurcation theory for symmetric potential operators and the equivariant cup-length. Zbl 0682.58037
Bartsch, Thomas; Clapp, Monica
1990
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
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
Nodal solutions of nonlinear elliptic Dirichlet problems on radial domains. Zbl 1126.35024
Bartsch, Thomas; Degiovanni, Marco
2006
Normalized solutions of mass supercritical Schrödinger equations with potential. Zbl 07433748
Bartsch, Thomas; Molle, Riccardo; Rizzi, Matteo; Verzini, Gianmaria
2021
Correction to: “A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems”. Zbl 1434.35011
Bartsch, Thomas; Soave, Nicola
2018
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. I. Zbl 1155.35026
Bartsch, Thomas; Peng, Shuangjie
2008
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
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. II. Zbl 1195.35143
Bartsch, Thomas; Peng, Shuangjie
2010
Efficient facility layout planning in a maximally planar graph model. Zbl 0940.90533
Pesch, E.; Glover, F.; Bartsch, T.; Salewski, F.; Osman, I.
1999
Bifurcations for a coupled Schrödinger system with multiple components. Zbl 1330.35134
Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang
2015
Periodic solutions with prescribed minimal period of vortex type problems in domains. Zbl 1405.37069
Bartsch, Thomas; Sacchet, Matteo
2018
Critical orbits of symmetric functionals. Zbl 0755.58018
Bartsch, Thomas
1989
Some critical minimization problems for functions of bounded variations. Zbl 1201.49006
Bartsch, Thomas; Willem, Michel
2010
The global structure of the zero set of a family of semilinear Fredholm maps. Zbl 0812.47060
Bartsch, Thomas
1991
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
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Periodic solutions of $$N$$-vortex type Hamiltonian systems near the domain boundary. Zbl 1386.37060
Dai, Qianhui; Gebhard, Björn; Bartsch, Thomas
2018
Periodic solutions of even Hamiltonian systems on the torus. Zbl 0870.34046
Bartsch, Thomas; Wang, Zhi-Qiang
1997
Nonlinear Schrödinger equations near an infinite well potential. Zbl 1298.35186
Bartsch, Thomas; Parnet, Mona
2014
The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces. Zbl 0735.58029
Bartsch, Thomas; Clapp, Mónica
1992
Periodic solutions of singular first-order Hamiltonian systems of $$N$$-vortex type. Zbl 1351.37232
Bartsch, Thomas
2016
A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent. Zbl 1472.53057
Bartsch, Thomas; Xu, Tian
2021
An invariant set generated by the domain topology for parabolic semiflows with small diffusion. Zbl 1139.35053
Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr
2007
Normalized solutions for a coupled Schrödinger system. Zbl 1479.35762
Bartsch, Thomas; Zhong, Xuexiu; Zou, Wenming
2021
Normalized solutions of mass supercritical Schrödinger equations with potential. Zbl 07433748
Bartsch, Thomas; Molle, Riccardo; Rizzi, Matteo; Verzini, Gianmaria
2021
A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent. Zbl 1472.53057
Bartsch, Thomas; Xu, Tian
2021
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
2020
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 1475.35127
Bartsch, Thomas; Micheletti, Anna Maria; Pistoia, Angela
2019
Normalized solutions for nonlinear Schrödinger systems. Zbl 1393.35035
Bartsch, Thomas; Jeanjean, Louis
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 with prescribed minimal period of vortex type problems in domains. Zbl 1405.37069
Bartsch, Thomas; Sacchet, Matteo
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 1485.35173
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
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 the $$N$$-vortex Hamiltonian system in planar domains. Zbl 1337.37043
Bartsch, Thomas; Dai, Qianhui
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
Bifurcations for a coupled Schrödinger system with multiple components. Zbl 1330.35134
Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang
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
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&rsquo;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&rsquo;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
Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations. II. Zbl 1195.35143
Bartsch, Thomas; Peng, Shuangjie
2010
Some critical minimization problems for functions of bounded variations. Zbl 1201.49006
Bartsch, Thomas; Willem, Michel
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 solutions of a critical polyharmonic equation. Zbl 1071.35041
Bartsch, Thomas; Schneider, Matthias; Weth, Tobias
2004
Multiple sign changing solutions of a quasilinear elliptic eigenvalue problem involving the $$p$$-Laplacian. Zbl 1086.35074
Bartsch, Thomas; Liu, Zhaoli
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
...and 8 more Documents
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### Cited by 1,698 Authors

 74 Tang, Xianhua 63 Wang, Zhi-Qiang 60 Ding, Yanheng 57 Zou, Wenming 56 Bartsch, Thomas J. 54 Papageorgiou, Nikolaos S. 41 Alves, Claudianor Oliveira 37 Su, Jiabao 36 Wu, Tsungfang 33 Chen, Haibo 32 Peng, Shuangjie 31 Rădulescu, Vicenţiu D. 31 Weth, Tobias 31 Zhang, Zhitao 30 Tang, Zhongwei 29 Clapp, Mónica 29 Pistoia, Angela 29 Wang, Jun 29 Zhang, Wen 28 Wei, Juncheng 26 Figueiredo, Giovany Malcher 26 Yang, Minbo 26 Zhang, Fubao 24 Zhang, Jian 23 Guo, Yuxia 23 Li, Shujie 23 Pacella, Filomena 22 Liu, Zhaoli 21 Da Silva, Edcarlos Domingos 21 Sun, Juntao 20 Zhao, Fukun 19 Liu, Jiaquan 19 Liu, Xiangqing 19 Mederski, Jarosław 19 Xu, Junxiang 18 Miyagaki, Olimpio Hiroshi 18 Zhang, Binlin 17 Liu, Shibo 16 Huang, Yisheng 16 Li, Gongbao 16 Maia, Liliane A. 16 Mao, Anmin 16 Schechter, Martin 16 Wu, Xian 16 Zhao, Leiga 15 Cao, Daomin 15 Ma, Shiwang 15 Qin, Dongdong 15 Zhang, Jihui 14 Deng, Yinbin 14 Furtado, Marcelo Fernandes 14 Jeanjean, Louis 14 Tavares, Hugo 14 Wang, Chunhua 14 Wu, Yuanze 13 Cheng, Bitao 13 Tang, Chun-Lei 12 Ji, Chao 12 Molica Bisci, Giovanni 12 Sun, Mingzheng 12 Szulkin, Andrzej 12 Tanaka, Kazunaga 11 Ackermann, Nils 11 Balanov, Zalman I. 11 Batkam, Cyril Joel 11 Chen, Shaowei 11 Chen, Sitong 11 Cingolani, Silvia 11 Gladiali, Francesca 11 He, Tieshan 11 Luo, Xiao 11 Tang, Chunlei 11 Tian, Rushun 11 Zeng, Xiaoyu 11 Zhou, Huan-Song 10 Bonheure, Denis 10 Chen, Jianqing 10 Gasiński, Leszek 10 Han, Zhiqing 10 He, Xiaoming 10 Kristály, Alexandru 10 O’Regan, Donal 10 Rybicki, Sławomir Maciej 10 Soave, Nicola 10 Van Schaftingen, Jean 10 Willem, Michel 10 Xiang, Mingqi 10 Yang, Jing 9 An, Tianqing 9 Byeon, Jaeyoung 9 Chen, Jianhua 9 D’Aprile, Teresa 9 de Souza, Manassés X. 9 Li, Anran 9 Li, Fuyi 9 Li, Lin 9 Liang, Zhanping 9 Lü, Dengfeng 9 Moreira dos Santos, Ederson 9 Musso, Monica ...and 1,598 more Authors
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### Cited in 229 Serials

 236 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 231 Journal of Mathematical Analysis and Applications 171 Journal of Differential Equations 110 Calculus of Variations and Partial Differential Equations 67 Boundary Value Problems 66 Journal of Mathematical Physics 65 Communications on Pure and Applied Analysis 64 Discrete and Continuous Dynamical Systems 50 Advanced Nonlinear Studies 48 Journal of Functional Analysis 46 ZAMP. Zeitschrift für angewandte Mathematik und Physik 44 Communications in Contemporary Mathematics 41 Applied Mathematics Letters 41 Complex Variables and Elliptic Equations 37 Annali di Matematica Pura ed Applicata. Serie Quarta 35 Applicable Analysis 31 Computers & Mathematics with Applications 31 NoDEA. Nonlinear Differential Equations and Applications 30 Mathematical Methods in the Applied Sciences 30 Journal of Fixed Point Theory and Applications 29 Nonlinear Analysis. Real World Applications 28 Advances in Nonlinear Analysis 27 Archive for Rational Mechanics and Analysis 27 Applied Mathematics and Computation 24 Topological Methods in Nonlinear Analysis 23 Transactions of the American Mathematical Society 23 Abstract and Applied Analysis 22 Communications in Partial Differential Equations 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Mediterranean Journal of Mathematics 20 Science China. Mathematics 19 Nonlinearity 19 Acta Mathematica Scientia. Series B. (English Edition) 17 The Journal of Geometric Analysis 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Advances in Difference Equations 14 Proceedings of the American Mathematical Society 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Acta Mathematica Sinica. English Series 12 Mathematische Nachrichten 12 Minimax Theory and its Applications 11 Manuscripta Mathematica 11 Monatshefte für Mathematik 11 Electronic Journal of Differential Equations (EJDE) 11 Journal of Function Spaces 11 SN Partial Differential Equations and Applications 10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 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 Discrete and Continuous Dynamical Systems. Series S 9 Nonlinear Analysis. Theory, Methods & Applications 8 Rocky Mountain Journal of Mathematics 8 Advances in Mathematics 8 Mathematische Annalen 8 Acta Mathematicae Applicatae Sinica. English Series 8 Computers & Operations Research 8 European Journal of Operational Research 8 AIMS Mathematics 7 Topology and its Applications 7 SIAM Journal on Mathematical Analysis 7 Journal of the European Mathematical Society (JEMS) 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Indian Journal of Pure & Applied Mathematics 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 Taiwanese Journal of Mathematics 6 Journal of Applied Mathematics and Computing 6 Advances in Mathematical Physics 6 Journal of Applied Analysis and Computation 6 Electronic Research Archive 5 Communications in Mathematical Physics 5 Indiana University Mathematics Journal 5 Journal of the Korean Mathematical Society 5 Mathematische Zeitschrift 5 Results in Mathematics 5 Revista Matemática Iberoamericana 5 Discrete and Continuous Dynamical Systems. Series B 5 Milan Journal of Mathematics 5 Frontiers of Mathematics in China 4 Israel Journal of Mathematics 4 Chinese Annals of Mathematics. Series B 4 Asymptotic Analysis 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Journal of Inequalities and Applications 4 Discrete Dynamics in Nature and Society 4 Journal of Evolution Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Analysis and Mathematical Physics 3 Applied Mathematics and Optimization 3 Journal of Computational and Applied Mathematics 3 Kodai Mathematical Journal 3 Tôhoku Mathematical Journal. Second Series 3 Tokyo Journal of Mathematics 3 Applied Numerical Mathematics ...and 129 more Serials
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### Cited in 44 Fields

 2,126 Partial differential equations (35-XX) 365 Global analysis, analysis on manifolds (58-XX) 208 Operator theory (47-XX) 160 Dynamical systems and ergodic theory (37-XX) 158 Ordinary differential equations (34-XX) 114 Calculus of variations and optimal control; optimization (49-XX) 83 Quantum theory (81-XX) 63 Functional analysis (46-XX) 42 Optics, electromagnetic theory (78-XX) 37 Mechanics of particles and systems (70-XX) 36 Fluid mechanics (76-XX) 34 Difference and functional equations (39-XX) 32 Algebraic topology (55-XX) 29 Operations research, mathematical programming (90-XX) 25 Real functions (26-XX) 23 Numerical analysis (65-XX) 19 Differential geometry (53-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Potential theory (31-XX) 16 Manifolds and cell complexes (57-XX) 15 Integral equations (45-XX) 12 Biology and other natural sciences (92-XX) 10 Mechanics of deformable solids (74-XX) 9 Combinatorics (05-XX) 6 Convex and discrete geometry (52-XX) 5 Probability theory and stochastic processes (60-XX) 4 General topology (54-XX) 3 $$K$$-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-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 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX)