International audienceWe prove the higher integrability of the gradient for minimizers of the thermal insulation problem, an analogue of De Giorgi's conjecture for the Mumford-Shah functional. We deduce that the singular part of the free boundary has Hausdorff dimension strictly less than $n-1$
We provide minimality criteria by construction of calibrations for functionals arising in the theory...
In this paper, we prove a higher integrability result for the horizontal gradient of a minimizer of ...
We study higher critical points of the variational functional associated with a free boundary proble...
International audienceWe prove the higher integrability of the gradient for minimizers of the therma...
We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functi...
Abstract. We prove higher integrability for the gradient of local minimizers of the Mumford-Shah ene...
The paper is concerned with the higher regularity properties of the minimizers of the Mumford-Shah f...
We extend a recent higher-integrability result for the gradient of minimizers of the Mumford-Shah fu...
We consider integral functionals with densities of p-growth, with respect to gradients, on a Lipschi...
We establish both upper and lower bounds of the gradient estimates for solutions to the perfect cond...
AbstractWe consider weak solutions u of non-linear systems of partial differential equations. Assumi...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
This paper deals with higher gradient integrability for s-harmonic functions u with discontinuous co...
In this work I show that minimizers and other equilibrium points of certain classes of functionals i...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
We provide minimality criteria by construction of calibrations for functionals arising in the theory...
In this paper, we prove a higher integrability result for the horizontal gradient of a minimizer of ...
We study higher critical points of the variational functional associated with a free boundary proble...
International audienceWe prove the higher integrability of the gradient for minimizers of the therma...
We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functi...
Abstract. We prove higher integrability for the gradient of local minimizers of the Mumford-Shah ene...
The paper is concerned with the higher regularity properties of the minimizers of the Mumford-Shah f...
We extend a recent higher-integrability result for the gradient of minimizers of the Mumford-Shah fu...
We consider integral functionals with densities of p-growth, with respect to gradients, on a Lipschi...
We establish both upper and lower bounds of the gradient estimates for solutions to the perfect cond...
AbstractWe consider weak solutions u of non-linear systems of partial differential equations. Assumi...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
This paper deals with higher gradient integrability for s-harmonic functions u with discontinuous co...
In this work I show that minimizers and other equilibrium points of certain classes of functionals i...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
We provide minimality criteria by construction of calibrations for functionals arising in the theory...
In this paper, we prove a higher integrability result for the horizontal gradient of a minimizer of ...
We study higher critical points of the variational functional associated with a free boundary proble...
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