44 citations · 169 across the 33 of their papers we have counts for
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math.AP2011
A quantitative second order minimality criterion for cavities in elastic bodies
Giuseppe Maria Capriani, Vesa Julin, Giovanni Pisante
We consider a functional which models an elastic body with a cavity. We show that if a critical point has positive second variation then it is a strict local minimizer. We also pro…
math.MG2011★ 44 cited
A strong form of the Quantitative Isoperimetric inequality
Nicola Fusco, Vesa Julin
We give a refinement of the quantitative isoperimetric inequality. We prove that the isoperimetric gap controls not only the Fraenkel asymmetry but also the oscillation of the boun…
math.AP2011★ 4 cited
A new proof for the equivalence of weak and viscosity solutions for the -Laplace equation
Petri Juutinen, Vesa Julin
In this paper, we give a new proof for the fact that the distributional weak solutions and the viscosity solutions of the -Laplace equation $-\diver(\abs{Du}^{p-2}Du)=0$ coincid…