Nonlocal Equations at Work

Research output

Research output per year 2018 2019 2020 2022

• 24 Article

Research output per year

Research output per year

Search results

• 2022

  Linear theory for a mixed operator with Neumann conditions

  Dipierro, S., Lippi, E. P. & Valdinoci, E., 2022, In: Asymptotic Analysis. 128, 4, p. 571-594 24 p.

  Research output: Contribution to journal › Article › peer-review

  File

  • Neumann Condition 100%
  • Spectral Property 33%
  • Subsolution 33%
  • Logistic Equation 33%
  • Eigenvalue Problem 33%
  34 Citations (Scopus)

  107 Downloads (Pure)

• Non-symmetric stable operators: Regularity theory and integration by parts

  Dipierro, S., Ros-Oton, X., Serra, J. & Valdinoci, E., 4 Jun 2022, In: Advances in Mathematics. 401, 108321.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Integration by Part 100%
  • Half Space 66%
  • Fractional Laplacian 66%
  • Lvy Process 33%
  16 Citations (Scopus)
• 2021

  A Serrin-type problem with partial knowledge of the domain

  Dipierro, S., Poggesi, G. & Valdinoci, E., Jul 2021, In: Nonlinear Analysis, Theory, Methods and Applications. 208, 112330.

  Research output: Contribution to journal › Article › peer-review

  File

  • Laminar Flows 100%
  • Rigidity 100%
  • Open Subset 100%
  10 Citations (Scopus)

  188 Downloads (Pure)

• Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities

  Cavaterra, C., Dipierro, S., Farina, A., Gao, Z. & Valdinoci, E., 5 Jan 2021, In: Journal of Differential Equations. 270, p. 435-475 41 p.

  Research output: Contribution to journal › Article › peer-review

  • Pointwise 100%
  • Elliptic Equation 100%
  • Growth Condition 100%
  • Nonlinearity 100%
  • PDE 50%
  3 Citations (Scopus)
• 2020

  (Non)local γ-convergence γ-convergenza (non)locale

  Dipierro, S., Miraglio, P. & Valdinoci, E., 2020, In: Bruno Pini Mathematical Analysis Seminar. 11, 1, p. 68-93 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Convergence Result 100%
  • Local Convergence 100%
  • Range Interaction 100%
  • Boundary Term 100%
  • Pointwise Limit 100%
  3 Citations (Scopus)

• A comparison between the nonlocal and the classical worlds: Minimal surfaces, phase transitions, and geometric flows

  Dipierro, S., Oct 2020, In: Notices of the American Mathematical Society. 67, 9, p. 1324-1335 12 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  4 Citations (Scopus)

• A symmetry result for cooperative elliptic systems with singularities

  Biagi, S., Valdinoci, E. & Vecchi, E., 1 Jan 2020, In: Publicacions Matematiques. 64, 2, p. 621-652 32 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • System of Elliptic Equations 100%
  8 Citations (Scopus)

• Convex sets evolving by volume-preserving fractional mean curvature flows

  Cinti, E., Sinestrari, C. & Valdinoci, E., 2020, In: Analysis and PDE. 13, 7, p. 2149-2171 23 p.

  Research output: Contribution to journal › Article › peer-review

  File

  • Mean Curvature 100%
  • Convex Set 100%
  • Priori Estimate 50%
  • Boundary of a Set 50%
  • Outer Radius 50%
  6 Citations (Scopus)

  57 Downloads (Pure)

• Energy asymptotics of a Dirichlet to Neumann problem related to water waves

  Miraglio, P. & Valdinoci, E., Nov 2020, In: Nonlinearity. 33, 11, p. 5997-6025 29 p.

  Research output: Contribution to journal › Article › peer-review

  File

  • Asymptotics 100%
  • Nonlocal Operator 100%
  • Neumann Problem 100%
  • Neumann Operator 100%
  • Fourier Transform 100%
  70 Downloads (Pure)

• Enhanced boundary regularity of planar nonlocal minimal graphs and a butterfly effect

  Dipierro, S., Dzhugan, A., Forcillo, N. & Valdinoci, E., 1 Jan 2020, In: Bruno Pini Mathematical Analysis Seminar. 11, 1, p. 44-67 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Differentiability 100%
  • Boundary Point 100%
  • Continuous Case 100%
  • Euler-Lagrange Equation 100%
  2 Citations (Scopus)

• Local density of Caputo-stationary functions of any order

  Carbotti, A., Dipierro, S. & Valdinoci, E., 2 Jul 2020, In: Complex Variables and Elliptic Equations. 65, 7, p. 1115-1138 24 p.

  Research output: Contribution to journal › Article › peer-review

  File

  • Arbitrary Precision 100%
  • Local Density 100%
  • Fractional Order 100%
  • Fractional Diffusion 100%
  • Linear Time 100%
  6 Citations (Scopus)

  92 Downloads (Pure)

• Nonlocal Minimal Graphs in the Plane are Generically Sticky

  Dipierro, S., Savin, O. & Valdinoci, E., Jun 2020, In: Communications in Mathematical Physics. 376, 3, p. 2005-2063 59 p.

  Research output: Contribution to journal › Article › peer-review

  • Regularity Analysis 100%
  12 Citations (Scopus)

• Unique continuation principles in cones under nonzero Neumann boundary conditions

  Dipierro, S., Felli, V. & Valdinoci, E., 1 Jul 2020, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 37, 4, p. 785-815 31 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Neumann Boundary Condition 100%
  • Interior Point 100%
  • Elliptic Equation 100%
  • Neumann Condition 100%
  • Forcing Term 100%
  6 Citations (Scopus)

  49 Downloads (Pure)
• 2019

  A symmetry result for elliptic systems in punctured domains

  Biagi, S., Valdinoci, E. & Vecchi, E., 1 Sept 2019, In: Communications on Pure and Applied Analysis. 18, 5, p. 2819-2833 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Bounded Domain 100%
  • System of Elliptic Equations 100%
  • Boundary Condition 100%
  • Hyperplane 100%
  9 Citations (Scopus)

• Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter

  Bucur, C., Lombardini, L. & Valdinoci, E., 1 May 2019, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 36, 3, p. 655-703 49 p.

  Research output: Contribution to journal › Article › peer-review

  • Mean Curvature 100%
  • Minimal Surface 100%
  • Minimal Set 66%
  • Open Set 33%
  • Change Sign 33%
  21 Citations (Web of Science)

• Decay estimates for evolution equations with classical and fractional time-derivatives

  Affili, E. & Valdinoci, E., 15 Mar 2019, In: Journal of Differential Equations. 266, 7, p. 4027-4060 34 p.

  Research output: Contribution to journal › Article › peer-review

  • Polynomial 100%
  • Evolution Equation 100%
  • Power Law 100%
  • Kirchhoff 100%
  28 Citations (Scopus)

• Definition of fractional Laplacian for functions with polynomial growth

  Dipierro, S., Savin, O. & Valdinoci, E., 1 Jan 2019, In: Revista Matematica Iberoamericana. 35, 4, p. 1079-1122 44 p.

  Research output: Contribution to journal › Article › peer-review

  • Polynomial 100%
  • Fractional Laplacian 100%
  • Modulo 33%
  • Nonlocal Operator 33%
  • Seminorm 33%
  17 Citations (Scopus)

• Gradient estimates for a class of anisotropic nonlocal operators

  Farina, A. & Valdinoci, E., 1 Aug 2019, In: Nonlinear Differential Equations and Applications. 26, 4, 25.

  Research output: Contribution to journal › Article › peer-review

  • Elliptic Equation 100%
  • Nonlocal Operator 100%
  • Superposition 100%
  1 Citation (Scopus)

• Limit behaviour of a singular perturbation problem for the Biharmonic operator

  Dipierro, S., Karakhanyan, A. L. & Valdinoci, E., 1 Dec 2019, In: Applied Mathematics and Optimization. 80, 3, p. 679-713 35 p.

  Research output: Contribution to journal › Article › peer-review

  File

  • Singular Perturbation Problem 100%
  • Counterexample 33%
  • Free Boundary Problem 33%
  • Forcing Term 33%
  • Level Set 33%
  5 Citations (Scopus)

  77 Downloads (Pure)

• Liouville type results for a nonlocal obstacle problem

  Brasseur, J., Coville, J., Hamel, F. & Valdinoci, E., Aug 2019, In: Proceedings of the London Mathematical Society. 119, 5, p. 291-328 38 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Liouville Type 100%
  • Obstacle Problem 100%
  • Asymptotics 50%
  • Open Set 50%
  • Qualitative Property of Solutions 50%
  10 Citations (Scopus)

• Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations

  Dipierro, S., Savin, O. & Valdinoci, E., 15 Apr 2019, In: Journal of Geometric Analysis. 29, 2, p. 1428-1455 28 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Parabolic 100%
  • Linear Equation 100%
  • Arbitrary Function 100%
  26 Citations (Scopus)

• Minimizers of the p-oscillation functional

  Cesaroni, A., Dipierro, S., Novaga, M. & Valdinoci, E., Jun 2019, In: Discrete and Continuous Dynamical Systems- Series A. 39, 12, p. 6785-6799 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Functionals 100%
  • Total Variation 33%
  • Dirichlet Problem 33%
  • Compact Perturbation 33%
  1 Citation (Scopus)

• Quantitative flatness results and BV-estimates for stable nonlocal minimal surfaces

  Cinti, E., Serra, J. & Valdinoci, E., Jul 2019, In: Journal of Differential Geometry. 112, 3, p. 447-504 58 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Stable Set 100%
  • Minimal Surface 100%
  • Symmetric Difference 16%
  • Half Space 16%
  • Universal Bound 16%
  48 Citations (Scopus)

  126 Downloads (Pure)
• 2018

  A new discrete monotonicity formula with application to a two-phase free boundary problem in dimension two

  Dipierro, S. & Karakhanyan, A. L., 3 Jul 2018, In: Communications in Partial Differential Equations. 43, 7, p. 1073-1101 29 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Free Boundary Problem 100%
  • Two Dimensions 100%
  • Flat Point 66%
  • Positive Constant 33%
  • Smooth Domain 33%
  5 Citations (Scopus)