On a conjecture of de giorgi about the phase-field approximation of the willmore functional

HIGHLIGHTS

• who: Giovanni Bellettini from the (UNIVERSITY) have published the Article: On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional, in the Journal: (JOURNAL)
• what: The authors show that surprisingly the original De Giorgi conjecture holds with k = 0. In the following lemma the authors show that qu03b5 is globally defined also if u03b5 is small enough: Lemma 2.9. Now the authors focus on G u03b5 (u u03b5, Rn ) and, as before, the authors observe that G u03b5 (u u03b5, Rn )=G u03b5 (u u03b5, Au03b5 ) + G u03b5 (u . . .
  

   

  

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