11 citations · 48 across the 26 of their papers we have counts for
34 papers
Regularity for the prescribed vertical mean curvature system in the plane
Jonas Hirsch, Connor Mooney, Riccardo Tione
We prove everywhere regularity for Lipschitz solutions to the prescribed vertical mean curvature system in the plane, where the codimension is arbitrary and the mean curvature is i…
Optimal regularity for vectorial, higher order and non-minimizing Bernoulli problems
Guido De Philippis, Jonas Hirsch, Mickaël Nahon
We prove the Lipschitz regularity of solutions for a wide class of generalized Bernoulli free boundary problems, in vectorial, higher order, and non-minimizing settings. Our method…
Excess decay for minimizing hypercurrents mod
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
We consider codimension area-minimizing -dimensional currents mod an even integer in a Riemannian submanifold of the Euclidean space. We prove a suitabl…
On the Lawson-Osserman conjecture
Jonas Hirsch, Connor Mooney, Riccardo Tione
We prove that if is a Lipschitz critical point of the area functional with respect to outer variations, then is smooth.…
Index estimates for sequences of harmonic maps
Jonas Hirsch, Tobias Lamm
In this paper we study upper and lower bounds of the index and the nullity for sequences of harmonic maps with uniformly bounded Dirichlet energy from a two-dimensional Riemann sur…
Interior regularity for two-dimensional stationary -valued maps
Jonas Hirsch, Luca Spolaor
We prove that -dimensional -valued maps that are stationary with respect to outer and inner variations of the Dirichlet energy are Hölder continuous and that the dimension of…
Regularity for rough hypoelliptic equations
Helge Dietert, Jonas Hirsch
We present a general approach to obtain a weak Harnack inequality for rough hypoellipitic equations, e.g. kinetic equations. The proof is constructive and does not study the commut…
On a degenerate elliptic problem arising in the least action principle for Rayleigh-Taylor subsolutions
Björn Gebhard, Jonas Hirsch, József J. Kolumbán
We address a degenerate elliptic variational problem arising in the application of the least action principle to averaged solutions of the inhomogeneous Euler equations in Boussine…
Fine structure of the singular set of area minimizing hypersurfaces modulo
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
Consider an area minimizing current modulo of dimension in a smooth Riemannian manifold of dimension . We prove that its interior singular set is, up to a relatively c…
Making Waves
Marc Härkönen, Jonas Hirsch, Bernd Sturmfels
We study linear PDE constraints for vector-valued functions and distributions. Our focus lies on wave solutions. These give rise to distributions with low-dimensional support. Spec…
Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions
Jonas Hirsch, Rob Kusner, Elena Mäder-Baumdicker
We study complete minimal surfaces in with finite total curvature and embedded planar ends. After conformal compactification via inversion, these yield examples of s…
Higher integrability for measures satisfying a PDE constraint
Adolfo Arroyo-Rabasa, Guido De Philippis, Jonas Hirsch +2
We establish higher integrability estimates for constant-coefficient systems of linear PDEs \[ \mathcal{A} μ= σ, \] where and are ve…
Area minimizing hypersurfaces modulo : a geometric free-boundary problem
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
We consider area minimizing -dimensional currents in complete Riemannian manifolds of dimension . For odd moduli we prove that, away from a clos…
A note on a rigidity estimate for degree conformal maps on
Jonas Hirsch, Konstantinos Zemas
In this note we present a short alternative proof of an estimate obtained by A.B.-Mantel, C.B. Muratov and T.M. Simon in [3] regarding the rigidity of degree {} conformal ma…
On the constancy theorem for anisotropic energies through differential inclusions
Jonas Hirsch, Riccardo Tione
In this paper we study stationary graphs for functionals of geometric nature defined on currents or varifolds. The point of view we adopt is the one of differential inclusions, int…
Growth conditions and regularity, an optimal local boundedness result
Jonas Hirsch, Mathias Schäffner
We prove local boundedness of local minimizers of scalar integral functionals , where the integrand satisfies -growth of th…
Uniqueness of tangent cones to boundary points of two-dimensional almost-minimizing currents
Jonas Hirsch, Michele Marini
We prove that tangent cones at singular boundary points of a two-dimensional current almost area minimizing are unique. Following the ideas exposed by White in [8], the result is a…
Regularity of area minimizing currents mod
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +1
We establish a first general partial regularity theorem for area minimizing currents , for every , in any dimension and codimension. More precisely, we prove th…
Area minimizing currents mod : linear regularity theory
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +1
We establish a theory of -valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to approximate efficiently a…
Nonclassical minimizing surfaces with smooth boundary
Camillo De Lellis, Guido De Philippis, Jonas Hirsch
We construct a Riemannian metric on (arbitrarily close to the euclidean one) and a smooth simple closed curve such that the unique area mi…
On the Index of Willmore spheres
Jonas Hirsch, Elena Mäder-Baumdicker
We consider unbranched Willmore surfaces in the Euclidean space that arise as inverted complete minimal surfaces with embedded planar ends. Several statements are proven about uppe…
The Area Blow Up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals
Guido De Philippis, Antonio De Rosa, Jonas Hirsch
In this paper we investigate the "area blow-up" set of a sequence of smooth co-dimension one manifolds whose first variation with respect to an anisotropic integral is bounded. Fol…
Regularity of minimizers for a model of charged droplets
Guido De Philippis, Jonas Hirsch, Giulia Vescovo
We investigate properties of minimizers of a variational model describing the shape of charged liquid droplets. The model, proposed by Muratov and Novaga, takes into account the re…
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints
Adolfo Arroyo-Rabasa, Guido De Philippis, Jonas Hirsch +1
We establish the rectifiability of measures satisfying a linear PDE constraint. The obtained rectifiability dimensions are optimal for many usual PDE operators, including all first…