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The Monotonicity of the Principal Frequency of the Anisotropic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-Laplacian
Let D>1 be a fixed integer. Given a smooth bounded, convex domain ฮฉโโ D and H:โ D โ[0,โ) a convex, even, and 1-homogeneous function of class C 3,ฮฑ (โ D โ{0}) for which the Hessian matrix D 2 (H p ) is positive definite in โ D โ{0} for any โฆ