论文信息 - On a Modified Conjecture of De Giorgi

On a Modified Conjecture of De Giorgi

We study the Γ-convergence of functionals arising in the Van der Waals–Cahn–Hilliard theory of phase transitions. Their limit is given as the sum of the area and the Willmore functional. The problem under investigation was proposed as modification of a conjecture of De Giorgi and partial results were obtained by several authors. We prove here the modified conjecture in space dimensions n = 2,3.

Matthias Röger | Reiner Schätzle | Matthias Röger | R. Schätzle

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