Lipschitz Continuity of the Minimizers
Lipschitz Continuity of the Minimizers
Abstract In this section, we will prove that the local minimizers of $$\mathcal F_\Lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mrow> <mml:mi>ℱ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>Λ</mml:mi> </mml:mrow> </mml:msub> </mml:math> are Lipschitz continuous. Our main result is the following.