Serena Dipierro
Applied Mathematics · 2012–2022
A researcher in the Science corpus: 19 papers; trusts 57 researchers and is trusted by 31 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 265 citations into it; #587 of 7,620 by trust here, #290 by citations
- Computational Theory and Mathematics — 178 citations into it; #1,454 of 12,182 by trust here, #761 by citations
- Mathematical Physics — 108 citations into it; #1,060 of 8,562 by trust here, #360 by citations
- Control and Systems Engineering — 34 citations into it
- Modeling and Simulation — 34 citations into it; #489 of 2,105 by trust here, #729 by citations
- Finance — 30 citations into it
- Geometry and Topology — 19 citations into it
- Numerical Analysis — 13 citations into it
Whom Serena Dipierro trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Luis Caffarelli
- Enrico Valdinoci
- Luis Silvestre
- Raffaella Servadei
- E. Di Nezza
- Guy Barles
- Ovidiu Savin
- Xavier Ros-Oton
- X. Cabré
- Giampiero Palatucci
Who trusts Serena Dipierro overall
- P. Garain
- Stefano Biagi
- Enrico Valdinoci
- Juha Kinnunen
- Gerd Grubb
- A. Ukhlov
- Erik Lindgren
- Anouar Bahrouni
- Xifeng Su
- Tuhin Ghosh
Papers from Serena Dipierro's perspective
Ordered by how strongly the researchers Serena Dipierro trusts endorse each paper. Same corpus, a different order for every researcher.
- An Extension Problem Related to the Fractional Laplacian
- Regularity theory for fully nonlinear integro‐differential equations
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Financial Modelling with Jump Processes
- Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
- Hitchhiker's guide to the fractional Sobolev spaces
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- The Evans-Krylov theorem for nonlocal fully nonlinear equations
- Holder estimates for solutions of integra-differential equations like the fractional laplace
- From the long jump random walk to the fractional Laplacian
Their papers
- All functions are locally $s$-harmonic up to a small error (2014) — 98 citations
- Mixed local and nonlocal elliptic operators: regularity and maximum principles (2020) — 181 citations
- A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators (2021) — 52 citations
- Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian (2012) — 258 citations
- A Faber-Krahn inequality for mixed local and nonlocal operators (2021) — 82 citations
- The Bernstein Technique for Integro-Differential Equations (2020) — 48 citations
- Fractional elliptic problems with critical growth in the whole of $\R^n$ (2015) — 218 citations
- Graph properties for nonlocal minimal surfaces (2015) — 48 citations
- Nonlocal problems with Neumann boundary conditions (2014) — 265 citations
- Hardy inequalities on Riemannian manifolds and applications (2012) — 103 citations
- Description of an ecological niche for a mixed local/nonlocal dispersal: An evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes (2021) — 149 citations
- A Brezis-Nirenberg type result for mixed local and nonlocal operators (2022) — 54 citations
- (Non)local logistic equations with Neumann conditions (2021) — 144 citations
- Linear theory for a mixed operator with Neumann conditions (2020) — 54 citations
- A logistic equation with nonlocal interactions (2016) — 49 citations
- On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results (2016) — 76 citations
- Nonlocal minimal surfaces: Interior regularity, quantitative estimates and boundary stickiness (2016) — 50 citations
- Bifurcation results for a fractional elliptic equation with critical exponent in R^n (2014) — 47 citations
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum (2014) — 143 citations