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Mathematics

D-Index
41
Citations
6614
World Ranking
1922
National Ranking
116

Overview

Tobias Weth is affiliated with Goethe University Frankfurt in Germany. Their research primarily lies within the broad field of Mathematics, with additional work in Computer Science. Within mathematics, their focus encompasses applied mathematics, mathematical physics, computational theory and mathematics, geometry and topology, and numerical analysis.

The main topics addressed in their research include nonlinear partial differential equations, advanced mathematical modeling in engineering, advanced mathematical physics problems, spectral theory in mathematical physics, differential equations and boundary problems, numerical methods in inverse problems, and nonlinear differential equations analysis.

Among their recent scholarly contributions are the following papers:

  • Spectral properties of the logarithmic Laplacian, 2021, Analysis and Mathematical Physics
  • Small Order Asymptotics of the Dirichlet Eigenvalue Problem for the Fractional Laplacian, 2022, Journal of Fourier Analysis and Applications
  • Trudinger-Moser-type inequality with logarithmic convolution potentials, 2022, Journal of the London Mathematical Society
  • Symmetry breaking for ground states of biharmonic NLS via Fourier extension estimates, 2023, Journal d Analyse Mathématique
  • Existence of Nonradial Domains for Overdetermined and Isoperimetric Problems in Nonconvex Cones, 2022, Archive for Rational Mechanics and Analysis

Common publication venues for this researcher include:

  • arXiv (Cornell University)
  • Potential Analysis
  • SIAM Journal on Mathematical Analysis
  • Mathematische Annalen
  • Calculus of Variations and Partial Differential Equations

Frequent collaborators in their work are:

  • Mouhamed Moustapha Fall
  • Sven Jarohs
  • Ignace Aristide Minlend
  • Alberto Saldaña
  • Alberto Boscaggin

Best Publications

  • Ground state solutions for some indefinite variational problems

    Andrzej Szulkin;Tobias Weth

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

    Thomas Bartsch;Tobias Weth;Michel Willem

  • The method of Nehari manifold

    Andrzej Szulkin;Tobias Weth

  • 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 priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system

    E.N. Dancer;Juncheng Wei;Tobias Weth

  • Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations

    Juncheng Wei;Tobias Weth

  • Nonexistence results for a class of fractional elliptic boundary value problems

    Mouhamed Moustapha Fall;Tobias Weth

  • Nodal solutions of a p-Laplacian equation

    Thomas Bartsch;Zhaoli Liu;Tobias Weth

  • A note on additional properties of sign changing solutions to superlinear elliptic equations

    Thomas Bartsch;Tobias Weth

  • Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level

    Filippo Gazzola;Tobias Weth

  • A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

    Thomas Bartsch;Tobias Weth;Michel Willem

  • On the planar Schrödinger–Poisson system

    Silvia Cingolani;Tobias Weth

  • Symmetry via antisymmetric maximum principles in nonlocal problems of variable order

    Sven Jarohs;Tobias Weth

  • Nonradial symmetric bound states for a system of coupled Schrödinger equations

    Juncheng Wei;Tobias Weth

  • Energy bounds for entire nodal solutions of autonomous superlinear equations

    Tobias Weth

  • Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem

    Angela Pistoia;Tobias Weth

  • Symmetry of solutions to semilinear elliptic equations via Morse index

    Filomena Pacella;Tobias Weth

  • Asymptotic behaviour of solutions of planar elliptic systems with strong competition

    Juncheng Wei;Tobias Weth

  • Remainder terms in the fractional Sobolev inequality

    Shibing Chen;Rupert L. Frank;Tobias Weth

Frequent Co-Authors

Thomas Bartsch
Thomas Bartsch University of Giessen
Filippo Gazzola
Filippo Gazzola Polytechnic University of Milan
Xavier Cabré
Xavier Cabré Universitat Politècnica de Catalunya
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Michel Willem
Michel Willem Université Catholique de Louvain
E. N. Dancer
E. N. Dancer University of Sydney
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Susanna Terracini
Susanna Terracini University of Turin

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