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Fractional Laplacian
17
"Fractional problems in thin domains" (2019) Pereira, M.C.; Rossi, J.D.; Saintier, N. Nonlinear Analysis, Theory, Methods and Applications
"Weighted inequalities for the fractional Laplacian and the existence of extremals" (2018) De Nápoli, P.; Drelichman, I.; Salort, A. Communications in Contemporary Mathematics
"Regularity theory and high order numerical methods for the (1D)-fractional Laplacian" (2018) Acosta, G.; Borthagaray, J.P.; Bruno, O.; Maas, M. Mathematics of Computation. 87(312):1821-1857
"An optimization problem for the first eigenvalue of the p-fractional Laplacian" (2018) Del Pezzo, L.; Fernández Bonder, J.; López Ríos, L. Mathematische Nachrichten. 291(4):632-651
"Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions" (2018) Fernández Bonder, J.; Rossi, J.D.; Spedaletti, J.F. Advanced Nonlinear Studies. 18(2):323-335
"Some nonlocal optimal design problems" (2018) Fernández Bonder, J.; Spedaletti, J.F. Journal of Mathematical Analysis and Applications. 459(2):906-931
"Finite Element Approximation for the Fractional Eigenvalue Problem" (2018) Borthagaray, J.P.; Del Pezzo, L.M.; Martínez, S. Journal of Scientific Computing. 77(1):308-329
"Finite Element Approximation for the Fractional Eigenvalue Problem" (2018) Borthagaray, J.P.; Del Pezzo, L.M.; Martínez, S. Journal of Scientific Computing. 77(1):308-329
"Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians" (2017) Kaufmann, U.; Rossi, J.D.; Vidal, R. Electronic Journal of Qualitative Theory of Differential Equations. 2017:1-10
"A fractional Laplace equation: Regularity of solutions and finite element approximations" (2017) Acosta, G.; Borthagaray, J.P. SIAM Journal on Numerical Analysis. 55(2):472-495
"A fractional Laplace equation: Regularity of solutions and finite element approximations" (2017) Acosta, G.; Borthagaray, J.P. SIAM Journal on Numerical Analysis. 55(2):472-495
"Bubbling solutions for nonlocal elliptic problems" (2017) Dávila, J.; López Ríos, L.; Sire, Y. Revista Matematica Iberoamericana. 33(2):509-546
"A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian" (2017) Acosta, G.; Bersetche, F.M.; Borthagaray, J.P. Computers and Mathematics with Applications. 74(4):784-816
"A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian" (2017) Acosta, G.; Bersetche, F.M.; Borthagaray, J.P. Computers and Mathematics with Applications. 74(4):784-816
"The first non-zero Neumann p-fractional eigenvalue" (2015) Del Pezzo, L.M.; Salort, A.M. Nonlinear Analysis, Theory, Methods and Applications. 118:130-143
"Refined asymptotic expansions for nonlocal diffusion equations" (2008) Ignat, L.I.; Rossi, J.D. Journal of Evolution Equations. 8(4):617-629
"Asymptotic behavior for nonlocal diffusion equations" (2006) Chasseigne, E.; Chaves, M.; Rossi, J.D. Journal des Mathematiques Pures et Appliquees. 86(3):271-291