Bending invariants for hypersurfaces
Bernstein and De Giorgi type problems: new results via a geometric approach
We use a Poincaré type formula and level set analysis to detect one-dimensional symmetry of stable solutions of possibly degenerate or singular elliptic equations of the formOur setting is very general and, as particular cases, we obtain new proofs of a conjecture of De Giorgi for phase transitions in and and of the Bernstein problem on the flatness of minimal area graphs in . A one-dimensional symmetry result in the half-space is also obtained as a byproduct of our analysis. Our approach...
Bertrand curves in Galilean space and their characterizations
Besicovitch-type properties of measures and submanifolds.
Bestimmung aller algebraischen Komitanten des symmetrischen Übertragungsparameters
Bestimmung einer speciellen Minimalfläche [Book]
Bestimmung konvexer Körper durch Krümmungsmaße.
Bifurcation of the equivariant minimal interfaces in a hydromechanics problem.
Bifurcations of affine invariants for one-parameter family of generic convex plane curves
We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
Biharmonic curves in Minkowski 3-space.
Biharmonic curves in Minkowski 3-space. II.
Bilinéarité et géométrie affine attachées aux espaces de spineurs complexes, minkowskiens ou autres
Biminimal general helix in the Heisenberg group
Bol loop actions
The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99].
Bose's vertex theorem for simply closed polygons.
Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
Boundaries of prescribed mean curvature
The existence of a singular curve in is proven, whose curvature can be extended to an function. The curve is the boundary of a two dimensional set, minimizing the length plus the integral over the set of the extension of the curvature. The existence of such a curve was conjectured by E. De Giorgi, during a conference held in Trento in July 1992.
Boundary Configuartions Spanning Contiuna of Minimal Surfaces.
Boundary regularity for solutions of the equation of prescribed Gauss curvature
Boundary value problems for non-parametric surfaces of prescribed mean curvature