Publications
Calculus of Variations UOH
Preprints
Kalayanamit, P. (2024). Sobolev regularity of the inverse for minimizers of the neo-Hookean energy satisfying condition INV. arXiv:2405.12156 [math.AP]
Buzančić, M., Hernández-Llanos, P., Velčić, I., Zubrinič, J. (2024). A poroelastic plate model obtained by simultaneous homogenization and dimension reduction. arXiv:2403.16220 [math.AP]
Durante, T., Faella, L., Hernández-Llanos, P., Prakash, R. (2023). A homogenization bending shell theory for multiscale materials from 3D nonlinear elasticity. arXiv:1905.09114 [math.AP]
Dolbeault, J., Zuniga, A. (2022). Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities. arXiv:2210.12488 [math.AP]
Calderer, M.C., Henao, D., Sánchez, M.A., Siegel, R.A., Song, S. (2024). A Numerical Scheme and Validation of the Asymptotic Energy Release Rate Formula for a 2d Gel Thin Film Debonding Problem. SIAM J. Appl. Math (in press).
Journal Articles
Barrios, B., Carrero, L., Quaas, A. (2024). Periodic fractional Ambrosetti-Prodi for one-dimensional problem with drift. Nonlinear Analysis 245: 1-19.
Barchiesi, M., Henao, D., Mora-Corral, C., Rodiac, R. (2024). On the lack of compactness in the axisymmetric neo-Hookean model. Forum of Mathematics, Sigma; 12:e26.
Carrero, L., Quaas, A. (2023). Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153(1): 229-261.
Calderer, M.C., Henao, D., Sánchez, M.A., Siegel, R.A., Song, S. (2023). Gels: Energetics, Singularities, and Cavitation. J Elast.
Song, S., Siegel, R.A., Sánchez, M.A., Calderer, M.C., Henao, D. (2023). Experiments, Modelling, and Simulations for a Gel Bonded to a Rigid Substrate. J Elast 153, 651–679.
Barchiesi, M., Henao, D., Mora-Corral, C., Rodiac, R. (2023). Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity. Arch Rational Mech Anal 247, 70.
Lamy, X., Zuniga, A. (2022). On the Stability of Radial Solutions to an Anisotropic Ginzburg--Landau Equation. SIAM J. Math. Anal. 54(1): 723-736.
Calderer, M.C., Garavito, C., Henao, D. , Tapia, L., Lyu, S. (2020). Gel Debonding from a Rigid Substrate. J Elast 141: 51–73.
Xu, X., Calderer, M.C., Doi, M., and Henao, D. (2020). Debonding waves in gel thin films. Proc. R. Soc. A. 476: 20200001.
Alama, S., Bronsard, L., Topaloglu, I., Zuniga, A. (2021). A nonlocal isoperimetric problem with density perimeter. Calc. Var. 60(1).
Henao, D., Mora-Corral, C. & Oliva, M. (2021). Global invertibility of Sobolev maps. Advances in Calculus of Variations, 14(2), 207-230.
Henao, D., Stroffolini, B. (2020). Orlicz–Sobolev nematic elastomers. Nonlinear Analysis 194,111513.
Cañulef-Aguilar, V., Henao, D. (2020). Hölder estimates for the Neumann problem in a domain with holes and a relation formula between the Dirichlet and Neumann problems. Houston Journal of Mathematics, 46(4), 973-1004.
Cañulef-Aguilar, V., Henao, D. (2019). A lower bound for the void coalescence load in nonlinearly elastic solids. Interfaces Free Bound. 21(4): 409–440.
Alessio, F., Montecchiari, P., Zuniga, A. (2019). Prescribed energy connecting orbits for gradient systems. Discrete and Continuous Dynamical Systems 39(8): 4895-4928.
Zuniga, A. (2019). Continuity of minimizers to weighted least gradient problems. Nonlinear Analysis 178: 86-109.
Henao, D., Rodiac, R. (2018). On the existence of minimizers for the neo-Hookean energy in the axisymmetric setting. Discrete and Continuous Dynamical Systems 38(9): 4509-4536.
Barchiesi, M., Henao, D. & Mora-Corral, C. (2017). Local Invertibility in Sobolev Spaces with Applications to Nematic Elastomers and Magnetoelasticity. Arch Rational Mech Anal 224, 743–816.
Henao, D., Majumdar, A. & Pisante, A. (2017). Uniaxial versus biaxial character of nematic equilibria in three dimensions. Calc. Var. 56, 55.
Zuniga, A., Sternberg, P. (2016). On the heteroclinic connection problem for multi-well gradient systems. Journal of Differential Equations 261(7): 3987-4007.
Zuniga, A., Agudelo, O. (2014). A two end family of solutions for the inhomogeneous Allen–Cahn equation in R2. Journal of Differential Equations 256(1): 157-205.