$${\mathscr {A}}$$-quasiconvexity and partial regularity
$${\mathscr {A}}$$-quasiconvexity and partial regularity
Abstract We establish the first partial regularity result for local minima of strongly $${\mathscr {A}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> </mml:math> -quasiconvex integrals in the case where the differential operator $${\mathscr {A}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> </mml:math> possesses an elliptic potential $${\mathbb {A}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> </mml:math> . As the main ingredient, the …