Über den funktionalen, insbesondere den analytischen Charakter der Lösungen elliptischer Differentialgleichungen zweiter Ordnung

  title={{\"U}ber den funktionalen, insbesondere den analytischen Charakter der L{\"o}sungen elliptischer Differentialgleichungen zweiter Ordnung},
  author={Eberhard Hopf},
  journal={Mathematische Zeitschrift},
  • E. Hopf
  • Published 1 December 1932
  • Mathematics
  • Mathematische Zeitschrift

Capacitary functions in convex rings

Una maggiorazione integrale per le curvature delle ipersuperfici minimali

L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » (http://rendiconti.math.unipd.it/) implique l’accord avec les conditions générales d’utilisation

Extremal Functions for Morrey’s Inequality

We give a qualitative description of extremals for Morrey’s inequality. Our theory is based on exploiting the invariances of this inequality, studying the equation satisfied by extremals, and the

Analyticity for Solution of Integro-Differential Operators

We prove that for a certain class of kernels $K(y)$ that viscosity solutions of the integro-differential equation $$ \int_{\mathbb R^n} (u(x+y) - 2 u(x) + u(x-y)) K(y) dy = f(x,u(x)) $$ are locally

Complete CMC hypersurfaces in Minkowski (n+1)-space

We prove that any regular domain in Minkowski space is uniquely foliated by spacelike constant mean curvature (CMC) hypersurfaces. This completes the classification of entire spacelike CMC

The local structure of the free boundary in the fractional obstacle problem

Abstract Building upon the recent results in [M. Focardi and E. Spadaro, On the measure and the structure of the free boundary of the lower-dimensional obstacle problem, Arch. Ration. Mech. Anal. 230

Chapter 2 The scientific work of

This list completes and updates the one contained in De Giorgi’s obituary, apUMI, Sez. B, (8) 2. We decided to include also some writings (as for instance [125]) that are not publications in a strict