Dr. Sven Jarohs

Current Position: Coordinator of Studies.

Department of Mathematics and Computer Sciences,
Goethe-University Frankfurt am Main.

Office hours (during lecture time): ---


Tel: 069/798-23531
Robert-Mayer-Straße 10, Raum 904
D-60325 Frankfurt am Main



Complete teaching list.

Applied Analysis and Numerics Seminar

Research interests:

Nonlocal problems and nonlocal diffusion equations, long-time behavior of solutions,
geometric and regularity related properties of solutions, maximum principles.

Recent and upcoming Talks/Conferences:

Complete list of past talks and conferences.


  1. "Nonradiality of second fractional eigenfunctions of thin annuli" joint with Sidy M. Djitte, preprint available online at [ArXiv] (2021)
  2. "Nonlocal operators of small order" joint with Pierre Aime Feulefack, preprint available online at [ArXiv] (2021)
  3. "On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian" joint with Tadeusz Kulczycki and Paolo Salani, preprint available online at [ArXiv] (2021)


  1. "Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian" joint with Pierre Aime Feulefack and Tobias Weth, J. Fourier Anal. Appl. 28 (2022), [doi], preprint available online at [ArXiv] (2021)
  2. "Foliated Schwarz symmetry of solutions to a cooperative system of equations involving nonlocal operators" joint with Antonio Greco, to appear in J. Elliptic Parabol. Equ., preprint available online at [ArXiv] (2019)
  3. "Symmetry of odd solutions to equations with fractional Laplacian" joint with Sidy M. Djitte, J. Elliptic Parabol. Equ. (2022) [doi], preprint available online at [ArXiv] (2021)
  4. "Fractional Laplacians on ellipsoids" joint with Nicola Abatangelo and Alberto Saldana, Math. Eng. 3.5 (2021), 1--34 [doi], preprint available online at [ArXiv] (2020)
  5. "A new look at the fractional Poisson problem via the Logarithmic Laplacian" joint with Alberto Saldana and Tobias Weth, J. Funct. Anal. 279.11 (2020), 108732, preprint available online at [ArXiv] (2019)
  6. "Gradient estimates in fractional Dirichlet problems" joint with Mouhamed Moustapha Fall, Potential Anal. 54.4 (2021), 627--636, preprint available online at [ArXiv] (2019)
  7. "On overdetermined problems for a general class of nonlocal operators" joint work with Anup Biswas, J. Differential Equations 268.5 (2020), 2368--2393 [doi], preprint available online at [ArXiv] (2019)
  8. "Semilinear Dirichlet problem for the fractional Laplacian" joint with Krzysztof Bogdan and Edyta Kania, Nonlinear Anal. 193 (2020), 111512 [doi] (2019).
  9. "Local compactness and nonvanishing for weakly singular nonlocal quadratic forms" joint with Tobias Weth, Nonlinear Anal. 193 (2020), 111431 [doi], preprint available online at [ArXiv] (2018)
  10. "Starshape of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings" joint with Tadeusz Kulczycki and Paolo Salani, Math. Nachr. 292.5 (2019), 1008--1021 [doi], preprint available online at [ArXiv] (2017)
  11. "On the strong maximum principle for nonlocal operators" joint with Tobias Weth, Math. Z. 293.1 (2019), 81--111 [doi], preprint available online at [ArXiv] (2017)
  12. "Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions" joint work with Nicola Abatangelo, Serena Dipierro, Mouhamed Moustapha Fall, and Alberto Saldana, Discrete Contin. Dyn. Syst. 39.3 (2019), 1205--1235, preprint available online at [ArXiv] (2018)
  13. "Green function and Martin kernel for higher-order fractional Laplacians in balls" joint with Nicola Abatangelo and Alberto Saldana,
    Nonlinear Anal. 175 (2018), 173--190 [doi], extended preprint available online at [ArXiv] (2016)
  14. "On the loss of maximum principles for higher-order fractional Laplacians" joint with Nicola Abatangelo and Alberto Saldana, Proc. Amer. Math. Soc. 146.11 (2018), 4823--4835, extended preprint available online at [ArXiv] (2016)
  15. "Positive powers of the Laplacian: from hypersingular integrals to boundary value problems" joint with Nicola Abatangelo and Alberto Saldana, Commun. Pure Appl. Anal. 17.3 (2018), 899--922, preprint available online at [ArXiv] (2017)
  16. "Integral representation of solutions to higher-order fractional Dirichlet problems on balls" joint with Nicola Abatangelo and Alberto Saldana, Commun. Contemp. Math. 20.8 (2018), 1850002 [doi], preprint available online at [ArXiv] (2017)
  17. "Strong comparison principle for the fractional p-Laplacian and applications to starshaped rings", Adv. Nonlinear Stud. 18.4 (2018), 691--704 [doi], preprint available online at [ArXiv] (2017)
  18. "Symmetry of solutions to nonlocal nonlinear boundary value problems in radial sets", NoDEA Nonlinear Differential Equations Appl. 23.3 (2016), 1--22, preprint available online at [ArXiv] (2015)
  19. "Symmetry via antisymmetric maximum principles in nonlocal problems of variable order" joint with Tobias Weth, Ann. Mat. Pura Appl. (4) 195.1 (2016), 273-291 [doi], preprint available online at [ArXiv] (2014)
  20. "Overdetermined problems with fractional Laplacian" joint with Mouhamed Moustapha Fall, ESAIM Control Optim. Calc. Var. 21.4 (2015), 924--938, preprint available online at [ArXiv] (2014)
  21. "Asymptotic symmetry for a class of nonlinear fractional reaction diffusion equations" joint with Tobias Weth, Discrete Contin. Dyn. Syst. 34.6 (2014), 2581--2615, preprint available online at [ArXiv] (2013)


"Symmetry via maximum principles for nonlocal nonlinear boundary value problems" doctoral thesis, Goethe University Frankfurt (2015) (see here)