Isoperimetric regions in the plane with density .
Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture
We give an example of a smooth surface of revolution for which all circles about the origin are strictly stable for fixed area but small isoperimetric regions are nearly round discs away from the origin.
Jacobi fields and regularity of functions of least gradient
Jak řešit úlohy s nejistými vstupními daty?
...k-rectifiable sets.
computes the flat norm for boundaries.
Lagrange multipliers and geometric measure theory
Lagrangian formalism in the classical field theory
Le formalisme de Hamilton-Cartan en calcul des variations
Le problème inverse du calcul des variations
Least-volume representatives of homology classes in
Lepage forms theory applied
In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.
Limiti di problemi di Dirichlet nonlineari in domini variabili
Si studia il comportamento limite di successioni di problemi variazionali nonlineari con condizioni al contorno di Dirichlet su aperti variabili. I principali strumenti usati in questa ricerca sono le nozioni di -convergenza e di -capacità nonlineare.
Lipschitz continuity of the state function in a shape optimization problem.
Liquid crystals : relaxed energies, dipoles, singular lines and singular points
Local calibrations for minimizers of the Mumford–Shah functional with a regular discontinuity set
Local minimizers with vortex filaments for a Gross-Pitaevsky functional
This paper gives a rigorous derivation of a functional proposed by Aftalion and Rivière [Phys. Rev. A64 (2001) 043611] to characterize the energy of vortex filaments in a rotationally forced Bose-Einstein condensate. This functional is derived as a Γ-limit of scaled versions of the Gross-Pitaevsky functional for the wave function of such a condensate. In most situations, the vortex filament energy functional is either unbounded below or has only trivial minimizers, but we establish the existence...
Local monotonicity of Hausdorff measures restricted to curves in
We give a sufficient condition for a curve to ensure that the -dimensional Hausdorff measure restricted to is locally monotone.
Local monotonicity of Hausdorff measures restricted to real analytic curves
We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve , , is locally 1-monotone.
Local monotonicity of measures supported by graphs of convex functions.