Luca Mugnai

Most-cited papers

1. Global solutions to the volume-preserving mean-curvature flow

   Luca Mugnai, Christian Seis, Emanuele Spadaro

   201558 citations Open access

   Semantic Scholar

   Save

2. The Allen-Cahn action functional in higher dimensions

   Luca Mugnai, M. Roger

   200758 citations Open access

   Semantic Scholar

   Save

3. Characterization and representation of the lower semicontinuous envelope of the elastica functional

   G. Bellettini, Luca Mugnai

   200447 citations

   Semantic Scholar

   Save

4. Approximation of Helfrich's Functional via Diffuse Interfaces

   G. Bellettini, Luca Mugnai

   2009SIAM Journal on Mathematical Analysis38 citations Open access

   Semantic Scholar

   Save

5. On the approximation of the elastica functional in radial symmetry

   G. Bellettini, Luca Mugnai

   200537 citations Open access

   Semantic Scholar

   Save

6. Convergence of perturbed Allen-Cahn equations to forced mean curvature flow

   Luca Mugnai, M. Roger

   200936 citations Open access

   Semantic Scholar

   Save

7. Confined Elastic Curves

   P. Dondl, Luca Mugnai, M. Röger

   2010SIAM Journal on Applied Mathematics29 citations Open access

   Semantic Scholar

   Save

8. A Varifolds Representation of the Relaxed Elastica Functional

   G. Bellettini, Luca Mugnai

   2007Journal of Convex Analysis29 citations Open access

   Semantic Scholar

   Save

9. On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations

   S. Luckhaus, Luca Mugnai

   201023 citations

   Semantic Scholar

   Save

10. On the Coarsening Rates for Attachment-Limited Kinetics

    Luca Mugnai, Christian Seis

    2013SIAM Journal on Mathematical Analysis14 citations

    Semantic Scholar

    Save

11. Anisotropic geometric functionals and gradient flows

    G. Bellettini, Luca Mugnai

    200913 citations Open access

    Semantic Scholar

    Save

12. GAMMA-CONVERGENCE RESULTS FOR PHASE-FIELD APPROXIMATIONS OF THE 2D-EULER ELASTICA FUNCTIONAL

    Luca Mugnai

    201011 citations Open access

    Semantic Scholar

    Save

13. A Phase Field Model for the Optimization of the Willmore Energy in the Class of Connected Surfaces

    P. Dondl, Luca Mugnai, M. Röger

    2013SIAM Journal on Mathematical Analysis10 citations Open access

    Semantic Scholar

    Save

14. Some aspects of the variational nature of mean curvature flow

    G. Bellettini, Luca Mugnai

    20084 citations Open access

    Semantic Scholar

    Save

15. Remarks on the variational nature of the heat equation and of mean curvature flow

    G. Bellettini, Luca Mugnai

    20062 citations

    Semantic Scholar

    Save

16. Discrete Free Energy Functionals for Elastic Materials with Phase Change

    T. Blesgen, S. Luckhaus, Luca Mugnai

    20062 citations

    Semantic Scholar

    Save

17. A varifolds representation result of the relaxed elastica functional

    G. Bellettini, Luca Mugnai

    20071 citations

    Semantic Scholar

    Save

18. Confined elastic wires of large length: the sharp second-order asymptotics

    Luca Mugnai

    20260 citations

    Semantic Scholar

    Save

19. A P ] 7 S ep 2 01 5 Global solutions to the volume-preserving mean-curvature flow

    Luca Mugnai, Christian Seis, Emanuele Spadaro

    20180 citations

    Semantic Scholar

    Save

20. Global solutions to the volume-preserving mean-curvature flow

    Luca Mugnai, Christian Seis, Emanuele Spadaro

    2016Calculus of Variations and Partial Differential Equations0 citations Open access

    Semantic Scholar

    Save

21. Mugnai Some aspects of the variational nature of mean curvature flow

    Luca Mugnai, G. Bellettini

    20080 citations

    Semantic Scholar

    Save