6 citations · 15 across the 10 of their papers we have counts for
11 papers
On a formula for all sets of constant width in 3d
Bernd Kawohl, Guido Sweers
In the recent paper "On a formula for sets of constant width in 2D", Comm. Pure Appl. Anal. 18 (2019), 2117-2131, we gave a constructive formula for all 2d sets of constant width.…
On the uniqueness of eigenfunctions for the vectorial -Laplacian
Ryan Hynd, Bernd Kawohl, Peter Lindqvist
We study a non-linear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
On the first eigenvalue of the normalized p-Laplacian
Graziano Crasta, Ilaria Fragalà, Bernd Kawohl
We prove that, if is an open bounded domain with smooth and connected boundary, for every the first Dirichlet eigenvalue of the normalized -Laplacian i…
From Symmetry to Monotonicity
Bernd Kawohl, David Krejčiřík
We offer an alternative and shorter proof to a result by Jan J.Ubøe about monotonicity properties of a one-dimensional function that appeared in the Mathematical Intelligencer in 2…
Overdetermined problems for the normalized -Laplacian
Agnid Banerjee, Bernd Kawohl
We extend the symmetry result of Serrin and Weinberger from the Laplacian operator to the highly degenerate game-theoretic -Laplacian operator and show that viscosity solutions…
Generalized elastica problems under area constraint
Vincenzo Ferone, Bernd Kawohl, Carlo Nitsch
It was recently proved that the elastic energy of a closed curve with curvature has a minimizer among all plane, simple, regular and closed…
On the geometry of the -Laplacian operator
Bernd Kawohl, Jiri Horák
The -Laplacian operator is not uniformly elliptic for any and degenerates even more when $p\to \…
The elastica problem under area constraint
Vincenzo Ferone, Bernd Kawohl, Carlo Nitsch
We show that the elastic energy of a closed curve has a minimizer among all plane simple regular closed curves of given enclosed area , and that the minimum is att…
The Neumann eigenvalue problem for the -Laplacian
L. Esposito, B. Kawohl, C. Nitsch +1
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the -Laplacian, suitable normalized, converges as goes to to a viscosity solution of an eig…
The longest shortest fence and sharp Poincaré-Sobolev inequalities
L. Esposito, V. Ferone, B. Kawohl +2
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex sets of given area, prove that the disc, and only the disc maximizes the length…
Overdetermined boundary value problems for the -Laplacian
G. Buttazzo, B. Kawohl
We consider overdetermined boundary value problems for the -Laplacian in a domain of and discuss what kind of implications on the geometry of the existence o…