Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen.
Elastic knots in euclidean 3-space
Ensembles quasiminimaux pour le périmètre avec contrainte de volume et rectificabilité uniforme
Everywhere regularity for a class of elliptic systems without growth conditions
Everywhere regularity for vectorial functionals with general growth
We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models iswith a convex function with general growth (also exponential behaviour is allowed).
Everywhere regularity for vectorial functionals with general growth
We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models is with h a convex function with general growth (also exponential behaviour is allowed).
Existence and regularity of minima for integral functionals noncoercive in the energy space
Existence and regularity of minimizers of nonconvex integrals with p-q growth
We show that local minimizers of functionals of the form , , are locally Lipschitz continuous provided f is a convex function with growth satisfying a condition of qualified convexity at infinity and g is Lipschitz continuous in u. As a consequence of this, we obtain an existence result for a related nonconvex functional.
Existence and regularity of optimal solution for a dead oil isotherm problem.
Existence of lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case
Existence of regular solutions for a one-dimensional simplified perfect-plastic problem with a unilateral gradient constraint.