In this paper we give a proof of an epiperimetric inequality in the setting of the lower dimensional obstacle problem. The inequality was introduced by Weiss [Invent. Math. 138 (1999) 23–50) for the classical obstacle problem and has striking consequences concerning the regularity of the free-boundary. Our proof follows the approach of Focardi and Spadaro [Adv. Differ. Equ. 21 (2015) 153–200] which uses an homogeneity approach and a Γ-convergence analysis
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
We study the interior Signorini, or lower-dimensional obstacle problem for a uniformly elliptic dive...
We prove an epiperimetric inequality for the thin obstacle problem, extending the pioneering results...
We study the regularity of the regular and of the singular set of the obstacle problem in any dimens...
International audienceWe study the regularity of the regular and of the singular set of the obstacle...
International audienceFor the thin obstacle problem, we prove by a new direct method that in any dim...
We give three different proofs of the log-epiperimetric inequality at singular points for the obstac...
International audienceUsing a direct approach, we prove a two‐dimensional epiperimetric inequality f...
We establish the C1+\u3b3C1+\u3b3-H\uf6lder regularity of the regular free boundary in the stationar...
We consider elliptic variational inequalities generated by obstacle type problems with thin obstacle...
[eng] In the thesis we consider higher regularity of the free boundaries in different variations of ...
The goal of this PhD thesis is to collect the results of the author in the study of thin obstacle pr...
Abstract. We study the regularity of the “free surface ” in boundary obstacle problems. We show that...
Abstract. We construct two new one-parameter families of monotonicity for-mulas to study the free bo...
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
We study the interior Signorini, or lower-dimensional obstacle problem for a uniformly elliptic dive...
We prove an epiperimetric inequality for the thin obstacle problem, extending the pioneering results...
We study the regularity of the regular and of the singular set of the obstacle problem in any dimens...
International audienceWe study the regularity of the regular and of the singular set of the obstacle...
International audienceFor the thin obstacle problem, we prove by a new direct method that in any dim...
We give three different proofs of the log-epiperimetric inequality at singular points for the obstac...
International audienceUsing a direct approach, we prove a two‐dimensional epiperimetric inequality f...
We establish the C1+\u3b3C1+\u3b3-H\uf6lder regularity of the regular free boundary in the stationar...
We consider elliptic variational inequalities generated by obstacle type problems with thin obstacle...
[eng] In the thesis we consider higher regularity of the free boundaries in different variations of ...
The goal of this PhD thesis is to collect the results of the author in the study of thin obstacle pr...
Abstract. We study the regularity of the “free surface ” in boundary obstacle problems. We show that...
Abstract. We construct two new one-parameter families of monotonicity for-mulas to study the free bo...
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
We study the interior Signorini, or lower-dimensional obstacle problem for a uniformly elliptic dive...