Partial differential equations. Abstracts from the workshop held July 23--28, 2023

DOI10.4171/OWR/2023/32zbMATH Open1537.00021MaRDI QIDQ6544490

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Publication date: 27 May 2024

Published in: Oberwolfach Reports (Search for Journal in Brave)

Nonlinear parabolic equations (35K55) Proceedings of conferences of miscellaneous specific interest (00B25) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06) Flows related to mean curvature (53E10)

Cites Work

Uniqueness of convex ancient solutions to mean curvature flow in ${\mathbb {R}}^3$
Rotational symmetry of self-similar solutions to the Ricci flow
Min-max theory and the Willmore conjecture
Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary
A general regularity theory for stable codimension 1 integral varifolds
Integral curvature estimates for $F$-stable hypersurfaces
On the geometry of metric measure spaces. I
On the geometry of metric measure spaces. II
Rigidity of equality cases in Steiner's perimeter inequality
On two-dimensional variational problems in parametric form
Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
Minimal varieties in Riemannian manifolds
Minimal cones and the Bernstein problem
Complete minimal surfaces in $S^ 3$
On the first variation of a varifold
The Lawson surfaces are determined by their symmetries and topology
Bounds for the Morse index of free boundary minimal surfaces
Burkholder integrals, Morrey’s problem and quasiconformal mappings
Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
Transport inequalities, gradient estimates, entropy and Ricci curvature
Existence of Ricci Flows of Incomplete Surfaces
An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case
Global estimates and energy identities for elliptic systems with antisymmetric potentials
Higher integrability of determinants and weak convergence in L1.
Heat Equations on Minimal Submanifolds and Their Applications
Area minimizing hypersurfaces with isolated singularities.
Regularity of stable minimal hypersurfaces
Rank-one convexity does not imply quasiconvexity
Elliptic regularization and partial regularity for motion by mean curvature
Bubbling of the heat flows for harmonic maps from surfaces
Topological degree for a mean field equation on Riemann surfaces
Rectifiability of Varifolds with Locally Bounded First Variation with Respect to Anisotropic Surface Energies
Some a Priori Estimates for a Singular Evolution Equation Arising in Thin-Film Dynamics
Mean Convex Mean Curvature Flow with Free Boundary
Ancient solutions to curve shortening with finite total curvature
Minimal surfaces and eigenvalue problems
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
Free boundary minimal surfaces in the unit ball : recent advances and open questions
Stable anisotropic minimal hypersurfaces in
Boundary regularity and embedded solutions for the oriented Plateau problem
Mean curvature flow with surgery of mean convex surfaces in $\mathbb R^3$
On the index of Willmore spheres
A note on a rigidity estimate for degree ±1$\pm 1$ conformal maps on S2$\mathbb {S}^2$
A rigidity estimate for maps from S2$S^2$ to S2$S^2$ via the harmonic map flow
An optimal transport formulation of the Einstein equations of general relativity
A family of 3d steady gradient solitons that are flying wings
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Sharp eigenvalue bounds and minimal surfaces in the ball
Existence and soap film regularity of solutions to Plateau's problem
Uniqueness and short time regularity of the weak Kähler-Ricci flow
Singularity removability at branch points for Willmore surfaces
Embedded minimal tori in $S^3$ and the Lawson conjecture
Generic mean curvature flow. I: Generic singularities
Beyond the Trudinger-Moser supremum
Noncollapsing in mean-convex mean curvature flow
Sharp lower bounds on density for area-minimizing cones
Essential connectedness and the rigidity problem for Gaussian symmetrization
Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics
The first Steklov eigenvalue, conformal geometry, and minimal surfaces
Bubble tree convergence for harmonic maps
The heat flow with a critical exponential nonlinearity
A duality theorem for Willmore surfaces
Boundary value problems and sharp inequalities for martingale transforms
On the oriented Plateau problem
Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
The Ricci flow on the 2-sphere
A local regularity theorem for mean curvature flow
Generic regularity of free boundaries for the obstacle problem
Asymptotic behavior for singularities of the mean curvature flow
A Bernstein result for minimal graphs of controlled growth
Analysis aspects of Willmore surfaces
A mass transportation approach to quantitative isoperimetric inequalities
Stationary partitioning of convex bodies
Extremal inequalities in Sobolev spaces and quasiconformal mappings
Comparison surfaces for the Willmore problem
Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
Critical points of embeddings of $H_ 0^{1,n}$ into Orlicz spaces
Plateau's problem for H-convex curves
On the radial behavior of minimal surfaces and the uniqueness of their tangent cones
The existence of minimal immersions of 2-spheres
A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
Extremal functions for the Trudinger-Moser inequality in 2 dimensions
Curvature estimates for minimal hypersurfaces
The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
On some extensions of Bernstein's theorem
Entire solutions of the minimal surface equation
Harmonic and quasi-harmonic spheres
Compactification of moduli space of harmonic mappings
Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
On a class of minimal hypersurfaces in $\mathbb{R}^ n$
Area distortion of quasiconformal mappings
A density function and the structure of singularities of the mean curvature flow
Implicit time discretization for the mean curvature flow equation
A convexity principle for interacting gases
Energy identity of harmonic map flows from surfaces at finite singular time
The maximal solution of the logarithmic fast diffusion equation in two space dimensions
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
Hypersurfaces with mean curvature given by an ambient Sobolev function.
Free boundary minimal surfaces in the unit 3-ball
Min-max for phase transitions and the existence of embedded minimal hypersurfaces
Index estimates for free boundary minimal hypersurfaces
Bubbling with $L^2$-almost constant mean curvature and an Alexandrov-type theorem for crystals
Removability of point singularities of Willmore surfaces
On embedded minimal disks in convex bodies
Harmonic and quasi-harmonic spheres. II.
Existence of surfaces minimizing the Willmore functional
On singularities of the heat flow for harmonic maps from surfaces into spheres
On a singular diffusion equation
Energy identity for a class of approximate harmonic maps from surfaces
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
A proof by foliation that Lawson's cones are $A_{\Phi}$-minimizing
Existence of hypersurfaces with prescribed mean curvature I -- generic min-max
The index and nullity of the Lawson surfaces $\xi_{g,1}$
The catenoid estimate and its geometric applications
Lorentzian length spaces
Critical points of the Moser-Trudinger functional on a disk
Generalized neck analysis of harmonic maps from surfaces
The moduli space of two-convex embedded spheres
Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc
Regularity of the free boundary for the two-phase Bernoulli problem
Morse index bound for minimal two spheres
Regularity for graphs with bounded anisotropic mean curvature
Free boundary minimal surfaces with connected boundary and arbitrary genus
Critical points of the Moser-Trudinger functional on closed surfaces
Entire solutions to equations of minimal surface type in six dimensions
Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands
Higher-order neck analysis of harmonic maps and its applications
Uniqueness of two-convex closed ancient solutions to the mean curvature flow
Displacement convexity of Boltzmann's entropy characterizes the strong energy condition from general relativity
Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points
Morse index of multiplicity one min-max minimal hypersurfaces
A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree $\pm 1$ harmonic maps from $\mathbb{R}^2$ to $\mathbb{S}^2$
The cone over the Clifford torus in $R^ 4$ is $\Phi$-minimizing
The free-boundary Brakke flow
Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
Correction to: ``Graphical translators for mean curvature flow
Min-max theory for constant mean curvature hypersurfaces
Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
Uniqueness of instantaneously complete Ricci flows
Existence of minimizing Willmore Klein bottles in Euclidean four-space
Free boundary minimal annuli in convex three-manifolds
Mean curvature flow with surgery
Ricci curvature for metric-measure spaces via optimal transport
Regularizing properties of the twisted Kähler-Ricci flow
A note on Willmore minimizing Klein bottles in Euclidean space
The Moser-Trudinger inequality and its extremals on a disk via energy estimates

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