In this note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion (Theorem 1) to verify if a given function is energy minimizing. Among other applications, we use this criterion to show that certain triple-junction configurations are minimizing (Example 3)
Abstract. We prove higher integrability for the gradient of local minimizers of the Mumford-Shah ene...
AbstractUsing a calibration method, we prove that, if w is a function which satisfies all Euler cond...
AbstractThe author studies the minimization of an energy functional which is introduced in the study...
We prove that, if u is a function satisfying all the Euler conditions for the Mumford-Shah functiona...
This paper is the first part of an ongoing project aimed at providing a local minimality criterion, ...
G. Alberti, G. Bouchitte and G. Dal Maso [The calibration method for the Mumford-Shah functional, C....
We consider a discrete approximation of the Mumford-Shah functional defined on finite element spaces...
We present a minimality criterion for the Mumford-Shah functional, and more generally for non convex...
In this paper we exhibit a family of stationary solutions of the Mumford-Shah functional in R^3 , ar...
Using a calibration method, we prove that, if w is a function which satisfies all the Euler conditio...
Using a calibration method, we prove that, if w is a function that satisfies all the Euler condition...
International audienceWe show the Gamma-convergence of a family of discrete functionals to the Mumfo...
ABSTRACT. – Using a calibration method, we prove that, if w is a function which satisfies all Euler ...
International audienceThis is a perhaps too long review paper on the Mumford-Shah functional, with p...
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...
AbstractUsing a calibration method, we prove that, if w is a function which satisfies all Euler cond...
AbstractThe author studies the minimization of an energy functional which is introduced in the study...
We prove that, if u is a function satisfying all the Euler conditions for the Mumford-Shah functiona...
This paper is the first part of an ongoing project aimed at providing a local minimality criterion, ...
G. Alberti, G. Bouchitte and G. Dal Maso [The calibration method for the Mumford-Shah functional, C....
We consider a discrete approximation of the Mumford-Shah functional defined on finite element spaces...
We present a minimality criterion for the Mumford-Shah functional, and more generally for non convex...
In this paper we exhibit a family of stationary solutions of the Mumford-Shah functional in R^3 , ar...
Using a calibration method, we prove that, if w is a function which satisfies all the Euler conditio...
Using a calibration method, we prove that, if w is a function that satisfies all the Euler condition...
International audienceWe show the Gamma-convergence of a family of discrete functionals to the Mumfo...
ABSTRACT. – Using a calibration method, we prove that, if w is a function which satisfies all Euler ...
International audienceThis is a perhaps too long review paper on the Mumford-Shah functional, with p...
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...
AbstractUsing a calibration method, we prove that, if w is a function which satisfies all Euler cond...
AbstractThe author studies the minimization of an energy functional which is introduced in the study...
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