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Mathematics

D-Index
50
Citations
10588
World Ranking
1079
National Ranking
55

Overview

Thomas Bartsch is affiliated with the University of Giessen in Germany and has a research focus primarily in the field of Mathematics. Their work spans several subfields, such as Mathematical Physics, Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering, and Statistical and Nonlinear Physics.

The scientist has contributed extensively to topics including Nonlinear Partial Differential Equations, Advanced Mathematical Physics Problems, Advanced Mathematical Modeling in Engineering, Geometric Analysis and Curvature Flows, Homotopy and Cohomology in Algebraic Topology, Numerical Methods in Inverse Problems, and Stability and Controllability of Differential Equations.

Frequent collaborators in their research include Wenming Zou, Mathew Bullimore, Mohameden Ould Ahmedou, Riccardo Molle, and Matteo Rizzi.

The body of published work by Thomas Bartsch includes papers appearing regularly in venues such as arXiv (Cornell University), Mathematische Annalen, Partial Differential Equations and Applications, Calculus of Variations and Partial Differential Equations, and Journal of Functional Analysis.

Recent papers by Thomas Bartsch include:

  • Normalized solutions of mass supercritical Schrödinger equations with potential (2020) - arXiv (Cornell University)
  • Normalized solutions for a coupled Schrödinger system (2020) - Mathematische Annalen
  • Normalized solutions for a class of nonlinear Choquard equations (2020) - Partial Differential Equations and Applications
  • Non-invertible Symmetries and Higher Representation Theory I (2022) - arXiv (Cornell University)
  • Higher representations for extended operators (2023) - arXiv (Cornell University)

Best Publications

  • Existence and multiplicity results for some superlinear elliptic problems on RN

    Thomas Bartsch;Zhi Qiang Wang

  • NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL

    Thomas Bartsch;Alexander Pankov;Zhi-Qiang Wang

  • Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

    Thomas Bartsch;Shujie Li

  • On an elliptic equation with concave and convex nonlinearities

    Thomas Bartsch;Michel Willem

  • Partial symmetry of least energy nodal solutions to some variational problems

    Thomas Bartsch;Tobias Weth;Michel Willem

  • A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system

    Thomas Bartsch;Norman Dancer;Zhi-Qiang Wang

  • Sign Changing Solutions of Superlinear Schrödinger Equations

    Thomas Bartsch;Zhaoli Liu;Tobias Weth

  • Three nodal solutions of singularly perturbed elliptic equations on domains without topology

    Thomas Bartsch;Tobias Weth

  • A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems

    Thomas Bartsch;Nicola Soave

  • Infinitely many solutions of a symmetric Dirichlet problem

    Thomas Bartsch

  • Bound states for a coupled Schrödinger system

    Thomas Bartsch;Zhi-Qiang Wang;Juncheng Wei

  • Infinitely Many Radial Solutions of a Semilinear Elliptic Problem On R(n)

    Thomas Bartsch;Thomas Bartsch;Michel Willem;Michel Willem

  • Topological Methods for Variational Problems With Symmetries

    Thomas Bartsch

  • Deformation theorems on non‐metrizable vector spaces and applications to critical point theory

    Thomas Bartsch;Yanheng Ding

  • Infinitely Many Nonradial Solutions of a Euclidean Scalar Field Equation

    T. Bartsch;Michel Willem

  • On a superlinear elliptic p-Laplacian equation

    Thomas Bartsch;Zhaoli Liu

  • Normalized solutions of nonlinear Schrödinger equations

    Thomas Bartsch;Sébastien de Valeriola

  • Multiple normalized solutions for a competing system of Schrödinger equations

    Thomas Bartsch;Nicola Soave

  • Nodal solutions of a p-Laplacian equation

    Thomas Bartsch;Zhaoli Liu;Tobias Weth

  • Normalized solutions for a system of coupled cubic Schrödinger equations on R3

    Thomas Bartsch;Louis Jeanjean;Nicola Soave

  • On the existence of sign changing solutions for semilinear Dirichlet problems

    Thomas Bartsch;Zhi-Qiang Wang

  • NONLINEAR SCHR ¨ ODINGER EQUATIONS WITH STEEP POTENTIAL WELL

    Thomas Bartsch;Alexander Pankov;Zhi-Qiang Wang

Frequent Co-Authors

Zhi-Qiang Wang
Zhi-Qiang Wang Utah State University
Tobias Weth
Tobias Weth Goethe University Frankfurt
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Yanheng Ding
Yanheng Ding Chinese Academy of Sciences
Michel Willem
Michel Willem Université Catholique de Louvain
Louis Jeanjean
Louis Jeanjean University of Franche-Comté
Wenming Zou
Wenming Zou Tsinghua University
Peter Poláčik
Peter Poláčik University of Minnesota
Richard S. Varga
Richard S. Varga Kent State University
Raytcho Lazarov
Raytcho Lazarov Texas A&M University

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