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Variational problems in a geometric measure-theoretic setting
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Variational problems in a geometric measure-theoretic setting
Problemi variazionali in un ambito di teoria geometrica della misura
几何测度理论合并中的变分问题
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http://msc2010.org/resources/MSC/1991/49Q20
http://msc2010.org/resources/MSC/2000/49Q20
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49Q20
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On the Faber-Krahn inequality for the Dirichlet p-Laplacian
Sharp summability for Monge Transport density via Interpolation
A finite dimensional linear programming approximation of Mather's variational problem
Approximation by finitely supported measures
Discrete approximation of the Mumford-Shah functional in dimension two
Continuous limits of discrete perimeters
Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands
A geometric lower bound on Grad's number
Relating phase field and sharp interface approaches to structural topology optimization
Sharp interface limit for two components Bose −Einstein condensates
A compactness result for a second-order variational discrete model
Homogenization of variational problems in manifold valued Sobolev spaces
Non-local approximation of free-discontinuity problems with linear growth
A relaxation result for energies defined on pairs set-function and applications
Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
A variational problem for couples of functions and multifunctions with interaction between leaves
Two dimensional optimal transportation problem for a distance cost with a convex constraint
An optimal irrigation network with infinitely many branching points
Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations
A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
Transport problems and disintegration maps
Asymptotic quantization for probability measures on Riemannian manifolds
Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case
Optimal regions for congested transport
Variational approximation of a functional of Mumford-Shah type in codimension higher than one
Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow
Average-distance problem for parameterized curves
Local minimizers with vortex filaments for a Gross-Pitaevsky functional
The formation of a tree leaf
Γ-limits of convolution functionals
Synchronized traffic plans and stability of optima
Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
Axisymmetric critical points of a nonlocal isoperimetric problem on the two-sphere
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation
Motivations, ideas and applications of ramified optimal transportation
Shape derivative of the Cheeger constant
The Rival Coffee Shop Problem
The Sharp Interface Limit of an Ising Game
Lower bound for the perimeter density at singular points of a minimizing cluster in ℝ N
On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)
Calibrations for minimal networks in a covering space setting
Influence of dimension on the convergence of level-sets in total variation regularization
Minimizers of the prescribed curvature functional in a Jordan domain with no necks
On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves
Average-distance problem with curvature penalization for data parameterization: regularity of minimizers
On minimizers of an anisotropic liquid drop model
A minimizing Movement approach to a class of scalar reaction-diffusion equations
A mass reducing flow for real-valued flat chains with applications to transport networks
Regularity for the planar optimal p-compliance problem
Inverse potential problems in divergence form for measures in the plane
Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type
The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds
Lower semicontinuity in GSBD for nonautonomous surface integrals
The ε-ε property and the boundedness of isoperimetric sets with different monomial weights
C1,1-Rectifiability and Heintze-Karcher Inequality on Sn+1
Mean curvature motion of point cloud varifolds
Computing the cut locus of a Riemannian manifold via optimal transport
Empirical measures: regularity is a counter-curse to dimensionality
On the shape of small liquid drops minimizing nonlocal energies
On the Representation of Effective Energy Densities
Equivalent formulation and numerical analysis of a fire confinement problem
Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach
BV solutions and viscosity approximations of rate-independent systems
Epitaxially strained elastic films: the case of anisotropic surface energies
Higher-order phase transitions with line-tension effect
Shape optimization problems for metric graphs
Some regularity results for minimal crystals
Design-dependent loads in topology optimization
Local semiconvexity of Kantorovich potentials on non-compact manifolds
Variational approximation for detecting point-like target problems
Symmetry breaking in a constrained Cheeger type isoperimetric inequality
A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional
Occupational measures and averaged shape optimization
On the horseshoe conjecture for maximal distance minimizers
Comparison between W 2 distance and Ḣ −1 norm, and Localization of Wasserstein distance
A perfect reconstruction property for PDE-constrained total-variation minimization with application in Quantitative Susceptibility Mapping
An isoperimetric problem with a Coulombic repulsion and attractive term
Variational approximation of size-mass energies for k-dimensional currents
On the asymptotic behaviour of nonlocal perimeters
Symmetric double bubbles in the Grushin plane
Geodesics of minimal length in the set of probability measures on graphs
Phase-field modelling and computing for a large number of phases
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