A new look at the fractional Poisson problem via the logarithmic Laplacian S Jarohs, A Saldana, T Weth Journal of Functional Analysis 279 (11), 108732, 2020 | 38 | 2020 |
Integral representation of solutions to higher-order fractional Dirichlet problems on balls N Abatangelo, S Jarohs, A Saldana Communications in Contemporary Mathematics 20 (08), 1850002, 2018 | 26 | 2018 |
On the loss of maximum principles for higher-order fractional Laplacians N Abatangelo, S Jarohs, A Saldaña Proceedings of the American Mathematical Society 146 (11), 4823-4835, 2018 | 25 | 2018 |
Green function and Martin kernel for higher-order fractional Laplacians in balls N Abatangelo, S Jarohs, A Saldaña Nonlinear analysis 175, 173-190, 2018 | 25 | 2018 |
A solution to a slightly subcritical elliptic problem with non-power nonlinearity M Clapp, R Pardo, A Pistoia, A Saldana Journal of Differential Equations 275, 418-446, 2021 | 21 | 2021 |
Least energy nodal solutions of Hamiltonian elliptic systems with Neumann boundary conditions A Saldana, H Tavares Journal of Differential Equations 265 (12), 6127-6165, 2018 | 19 | 2018 |
Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions N Abatangelo, S Dipierro, MM Fall, S Jarohs, A Saldaña arXiv preprint arXiv:1806.05128, 2018 | 19 | 2018 |
Positive powers of the Laplacian: from hypersingular integrals to boundary value problems N Abatangelo, S Jarohs, A Saldaña arXiv preprint arXiv:1709.00976, 2017 | 19 | 2017 |
Paths to uniqueness of critical points and applications to partial differential equations D Bonheure, J Földes, E dos Santos, A Saldana, H Tavares Transactions of the American Mathematical Society 370 (10), 7081-7127, 2018 | 18 | 2018 |
Small order asymptotics for nonlinear fractional problems V Hernández Santamaría, A Saldana Calculus of Variations and Partial Differential Equations 61 (3), 92, 2022 | 17 | 2022 |
Asymptotic axial symmetry of solutions of parabolic equations in bounded radial domains A Saldana, T Weth Journal of Evolution Equations 12, 697-712, 2012 | 17 | 2012 |
Entire nodal solutions to the critical Lane-Emden system M Clapp, A Saldaña Communications in Partial Differential Equations 45 (4), 285-302, 2020 | 14 | 2020 |
On the maximum principle for higher-order fractional Laplacians N Abatangelo, S Jarohs, A Saldaña arXiv preprint arXiv:1607.00929, 2016 | 14 | 2016 |
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods A Dieb, I Ianni, A Saldana Nonlinear Analysis 236, 113354, 2023 | 13 | 2023 |
Phase separation, optimal partitions, and nodal solutions to the Yamabe equation on the sphere M Clapp, A Saldaña, A Szulkin International Mathematics Research Notices 2021 (5), 3633-3652, 2021 | 11 | 2021 |
Classical solutions to integral equations with zero order kernels HA Chang-Lara, A Saldaña Mathematische Annalen 389 (2), 1463-1515, 2024 | 10 | 2024 |
Fractional Laplacians on ellipsoids N Abatangelo, S Jarohs, A Saldana arXiv preprint arXiv:2005.09514, 2020 | 9 | 2020 |
Existence and convergence of solutions to fractional pure critical exponent problems V Hernández-Santamaría, A Saldaña Advanced Nonlinear Studies 21 (4), 827-854, 2021 | 8 | 2021 |
Existence of solutions to a slightly supercritical pure Neumann problem A Pistoia, A Saldaña, H Tavares SIAM Journal on Mathematical Analysis 55 (4), 3844-3887, 2023 | 7 | 2023 |
Uniqueness and nondegeneracy of least-energy solutions to fractional Dirichlet problems A Dieb, I Ianni, A Saldana arXiv preprint arXiv:2310.01214, 2023 | 6 | 2023 |