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Blow-Up Sequences and Blow-Up Limits

Blow-Up Sequences and Blow-Up Limits

Abstract Let D be an open set in $$\mathbb {R}^d$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>ℝ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>d</mml:mi> </mml:mrow> </mml:msup> </mml:math> and $$u:D\to \mathbb {R}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>u</mml:mi> <mml:mo>:</mml:mo> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:mi>ℝ</mml:mi> </mml:math> be a (non-negative) local minimizer 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> …