Publications and preprints
Publications and preprints
F. Cirelli, P. Groisman, R. Huang and H. Vivas, Scaling Limit of Kuramoto Model on Random Geometric Graphs, arxiv preprint
L. Caffarelli, P. R. Stinga and H. Vivas, A PDE approach to the existence and regularity of surfaces of minimum mean curvature variation, Archive for Rational Mechanics and Analysis, Volume 248 article number 70 (2024), arxiv preprint
J. Fernández Bonder, A. Salort and H. Vivas, Homogeneous eigenvalue problems in Orlicz-Sobolev spaces, Topological Methods in Nonlinear Analysis Vol. 63 No 2 (4) (2024), arxiv preprint
J. V. da Silva, A. Silva and H. Vivas, Lipschitz regularity of almost minimizers in a Bernoulli problem with non-standard growth, Discrete and Contiuous Dynamical Systems - Series A 44, No. 6, 1555-1586 (2024), arxiv preprint
P. Groismam, R. Huang and H. Vivas, The Kuramoto model on dynamic random graphs, Nonlinearity 36, No. 11, 6177-6198 (2023), arxiv preprint
J. Fernández Bonder, A. Salort and H. Vivas, Global Hölder regularity for eigenfunction of the fractional g-Laplacian, Journal of Mathematical Analysis and Applications 526, No. 1, Article ID 127332, 15 p. (2023), arxiv preprint
J. V. Da Silva, G. C. Rampasso, G. C. Ricarte and H. Vivas, Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy, Israel Journal of Mathematics 254, No. 1, 155-200 (2023), arxiv preprint
J. Fernández Bonder, A. Salort and H. Vivas, Interior and up to the boundary regularity for the fractional g-Laplacian: the convex case, Nonlinear Analysis, Theory Methods Applications, Series A, Theory Methods 223, Article ID 113060, 31 p. (2022), arxiv preprint
A. Salort and H. Vivas, Fractional eigenvalues in Orlicz spaces with no ∆₂ condition, Journal of Differential Equations 327, 166-188 (2022), arxiv preprint
S. Molina, A. Salort and H. Vivas, Maximum principles, Liouville theorem and symmetry results for the fractional g-Laplacian, Nonlinear Analysis, Theory Methods Applications, Series A, Theory Methods 212, Article ID 112465, 24 p. (2021), arxiv preprint
J. V. Da Silva and H. Vivas, Sharp regularity for degenerate obstacle-type problems: a geometric approach, Discrete and Contiuous Dynamical Systems - Series A 41, No. 3, 1359-1385 (2021), arxiv preprint
J. V. Da Silva and H. Vivas, The obstacle problem for a class of degenerate fully nonlinear operators, Revista Matemática Iberoamericana 37, No. 5, 1991-2020 (2021), arxiv preprint
X. Ros - Oton and H. Vivas, Higher-order boundary regularity estimates for nonlocal parabolic equations, Calculus of Variations and Partial Differential Equations 57, No. 5, Paper No. 111, 20 p. (2018), arxiv preprint
L. Caffarelli, L. Duque and H. Vivas, The two membranes problem for fully nonlinear operators, Discrete and Continuous Dynamical Systems - Series A 38, No. 12, 6015-6027 (2018), arxiv preprint
E. C. Bezerra Júnior, J. V. Da Silva, G. C. Rampasso, G. C. Ricarte, H. Vivas, Recent developments on fully nonlinear PDEs with unbalanced degeneracy, Matemática Contemporânea Vol. 51,123–161 (2022)