A Variational Principle for the Hausdorff Dimension of Fractal Sets.
A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies
Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms...
A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies
Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms...
A -porous set need not be -bilaterally porous
A closed subset of the real line which is right porous but is not -left-porous is constructed.
A Тote on the Сompleteness of
About the -measure of a set. II.
About -additive and -maxitive measures
Abschätzung der Hausdorffdimension für Mengen mit vorgeschriebenen Häufigkeiten der Ziffern.
Absolut konvergente Reihen und das Hausdorffsche Mass
Absolute continuity and hyponormal operators.
Abstract analytic and borelian sets
Abstract Formulation of Some Theorems of Measure Theory. II.
Accumulation Points of the Lagrange and Markov Spectra.
Accurate computation of periodic regions' centers in the general -set with integer index number.
Acknowledgement of priority: Second derivates of convex functions.
AC-устранимость, хаусдорфова размерность и свойство.
Addendum to "Lineability and spaceability of vector-measure spaces" (Studia Math. 219 (2013), 155-161)
Addition linearer Cantormengen
Additive functions and singular measures
Additive functions modulo a countable subgroup of ℝ
We solve the mod G Cauchy functional equation f(x+y) = f(x) + f(y) (mod G), where G is a countable subgroup of ℝ and f:ℝ → ℝ is Borel measurable. We show that the only solutions are functions linear mod G.