## Publications of Tobias Weth

**Preprints are listed **here

**Accepted and Published Research Papers**

**Gazzola, Filippo; Sperone, Gianmarco; Weth, Tobias A connection between symmetry breaking for Sobolev minimizers and stationary Navier-Stokes flows past a circular obstacle. ***Appl. Math. Optim.* 85 (2022), no. 1, Paper No. 10, 23 pp.

*Appl. Math. Optim.*85 (2022), no. 1, Paper No. 10, 23 pp.

**[92] Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones (with F. Pacella, A. Iacopetti), Arch. Ration. Mech. Anal. 245 (2022), no. 2, 1005–1058. **

**[92] Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones (with F. Pacella, A. Iacopetti), Arch. Ration. Mech. Anal. 245 (2022), no. 2, 1005–1058. **

**[91] **A supercritical elliptic equation in the annulus (with A. Boscaggin, F. Colasuonno and B. Noris), to appear in Ann. Inst. H. Poincaré Anal. Non Linéaire 40 (2022), no. 1, 157–183.

**[90] **Trudinger-Moser type inequality with logarithmic convolution potentials (with S. Cingolani), J. London Math. Soc*. **(2)* 105 (2022), no. 3, 1897–1935.

**[89] **Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian (with P.A. Feulefack and S. Jarohs), to appear in J. Fourier Anal. Appl. 28 (2022), no. 2, Paper No. 18, 44 pp.

**Clapp, Mónica; Pistoia, Angela; Weth, Tobias An upper bound for the least energy of a nodal solution to the Yamabe equation on the sphere. ***Minimax Theory Appl.* 7 (2022), no. 2, 173–184.

*Minimax Theory Appl.*7 (2022), no. 2, 173–184.