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The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche.
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- Journal of Mathematical Biology, 2024, v. 89, n. 2, p. 1, doi. 10.1007/s00285-024-02106-8
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The Lévy Flight Foraging Hypothesis in Bounded Regions: Subordinate Brownian Motions and High-risk/High-gain Strategies.
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- Memoirs of the European Mathematical Society, 2024, v. 10, p. 1, doi. 10.4171/MEMS/10
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- Article
Napoleonic Triangles on the Sphere.
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- Bulletin of the Brazilian Mathematical Society, 2024, v. 55, n. 2, p. 1, doi. 10.1007/s00574-024-00393-9
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- Article
Nonlocal capillarity for anisotropic kernels.
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- Mathematische Annalen, 2024, v. 388, n. 4, p. 3785, doi. 10.1007/s00208-023-02623-9
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- Article
Classification of global solutions of a free boundary problem in the plane.
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- Interfaces & Free Boundaries, 2023, v. 25, n. 3, p. 455, doi. 10.4171/IFB/494
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- Article
Some perspectives on (non)local phase transitions and minimal surfaces.
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- Bulletin of Mathematical Sciences (World Scientific), 2023, v. 13, n. 1, p. 1, doi. 10.1142/S1664360723300013
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- Article
The stickiness property for antisymmetric nonlocal minimal graphs.
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- Discrete & Continuous Dynamical Systems: Series A, 2023, v. 43, n. 3/4, p. 1, doi. 10.3934/dcds.2022103
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- Article
s, p-Harmonic Approximation of Functions of Least W<sup>s,l</sup>-Seminorm.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 2, p. 1173, doi. 10.1093/imrn/rnab284
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- Article
A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators.
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- Mathematics in Engineering, 2023, v. 5, n. 1, p. 1, doi. 10.3934/mine.2023014
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- Article
Regularity results for solutions of mixed local and nonlocal elliptic equations.
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- Mathematische Zeitschrift, 2022, v. 302, n. 3, p. 1855, doi. 10.1007/s00209-022-03132-2
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- Article
Efficiency functionals for the Lévy flight foraging hypothesis.
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- Journal of Mathematical Biology, 2022, v. 85, n. 4, p. 1, doi. 10.1007/s00285-022-01808-1
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- Article
The Bernstein Technique for Integro-Differential Equations.
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- Archive for Rational Mechanics & Analysis, 2022, v. 243, n. 3, p. 1597, doi. 10.1007/s00205-021-01749-x
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- Article
Integral operators defined "up to a polynomial".
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- Fractional Calculus & Applied Analysis, 2022, v. 25, n. 1, p. 60, doi. 10.1007/s13540-021-00005-z
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- Article
Global Gradient Estimates for a General Type of Nonlinear Parabolic Equations.
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- Journal of Geometric Analysis, 2022, v. 32, n. 2, p. 1, doi. 10.1007/s12220-021-00812-z
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- Article
Semilinear elliptic equations involving mixed local and nonlocal operators.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2021, v. 151, n. 5, p. 1611, doi. 10.1017/prm.2020.75
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- Article
Time-fractional equations with reaction terms: Fundamental solutions and asymptotics.
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- Discrete & Continuous Dynamical Systems: Series A, 2021, v. 41, n. 1, p. 257, doi. 10.3934/dcds.2020137
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- Article
Boundary properties of fractional objects: Flexibility of linear equations and rigidity of minimal graphs.
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- Journal für die Reine und Angewandte Mathematik, 2020, v. 2020, n. 769, p. 121, doi. 10.1515/crelle-2019-0045
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- Article
Minimisers of a fractional seminorm and nonlocal minimal surfaces.
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- Interfaces & Free Boundaries, 2020, v. 22, n. 4, p. 465, doi. 10.4171/IFB/447
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- Article
IMPROVEMENT OF FLATNESS FOR NONLOCAL PHASE TRANSITIONS.
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- American Journal of Mathematics, 2020, v. 142, n. 4, p. 1083, doi. 10.1353/ajm.2020.0032
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- Article
Singularity Formation in Fractional Burgers' Equations.
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- Journal of Nonlinear Science, 2020, v. 30, n. 4, p. 1285, doi. 10.1007/s00332-020-09608-x
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- Article
Nonlocal Minimal Graphs in the Plane are Generically Sticky.
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- Communications in Mathematical Physics, 2020, v. 376, n. 3, p. 2005, doi. 10.1007/s00220-020-03771-8
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- Article
One-Dimensional Symmetry for the Solutions of a Three-Dimensional Water Wave Problem.
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- Journal of Geometric Analysis, 2020, v. 30, n. 2, p. 1804, doi. 10.1007/s12220-019-00279-z
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- Article
Rigidity Results for Elliptic Boundary Value Problems: Stable Solutions for Quasilinear Equations with Neumann or Robin Boundary Conditions.
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- IMRN: International Mathematics Research Notices, 2020, v. 2020, n. 5, p. 1366, doi. 10.1093/imrn/rny055
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- Article
Heteroclinic connections for nonlocal equations.
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- Mathematical Models & Methods in Applied Sciences, 2019, v. 29, n. 14, p. 2585, doi. 10.1142/S0218202519500556
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- Article
Limit Behaviour of a Singular Perturbation Problem for the Biharmonic Operator.
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- Applied Mathematics & Optimization, 2019, v. 80, n. 3, p. 679, doi. 10.1007/s00245-019-09598-7
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Minimizers of the p-oscillation functional.
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- Discrete & Continuous Dynamical Systems: Series A, 2019, v. 39, n. 12, p. 6785, doi. 10.3934/dcds.2019231
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- Article
Fattening and nonfattening phenomena for planar nonlocal curvature flows.
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- Mathematische Annalen, 2019, v. 375, n. 1/2, p. 687, doi. 10.1007/s00208-018-1793-6
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- Article
Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations.
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- Journal of Geometric Analysis, 2019, v. 29, n. 2, p. 1428, doi. 10.1007/s12220-018-0045-z
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- Article
On a Minkowski geometric flow in the plane: Evolution of curves with lack of scale invariance.
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- Journal of the London Mathematical Society, 2019, v. 99, n. 1, p. 31, doi. 10.1112/jlms.12162
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- Article
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature.
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- Advances in Nonlinear Analysis, 2019, v. 8, n. 1, p. 1035, doi. 10.1515/anona-2018-0013
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- Article
CLASSIFICATION OF IRREGULAR FREE BOUNDARY POINTS FOR NON-DIVERGENCE TYPE EQUATIONS WITH DISCONTINUOUS COEFFICIENTS.
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- Discrete & Continuous Dynamical Systems: Series A, 2018, v. 38, n. 12, p. 6073, doi. 10.3934/dcds.2018262
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- Article
THE PHILLIP ISLAND PENGUIN PARADE (A MATHEMATICAL TREATMENT).
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- ANZIAM Journal, 2018, v. 60, n. 1, p. 27, doi. 10.1017/S1446181118000147
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- Article
A Simple Mathematical Model Inspired by the Purkinje Cells: From Delayed Travelling Waves to Fractional Diffusion.
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- Bulletin of Mathematical Biology, 2018, v. 80, n. 7, p. 1849, doi. 10.1007/s11538-018-0437-z
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- Article
PRESCRIBED CONDITIONS AT INFINITY FOR FRACTIONAL PARABOLIC AND ELLIPTIC EQUATIONS WITH UNBOUNDED COEFFICIENTS.
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- ESAIM: Control, Optimisation & Calculus of Variations, 2018, v. 24, n. 1, p. 105, doi. 10.1051/cocv/2016077
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On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results.
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- Mathematische Annalen, 2017, v. 369, n. 3/4, p. 1283, doi. 10.1007/s00208-016-1487-x
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- Article
Long-time behavior for crystal dislocation dynamics.
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- Mathematical Models & Methods in Applied Sciences, 2017, v. 27, n. 12, p. 2185, doi. 10.1142/S0218202517500427
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- Article
Asymptotic Expansions of the Contact Angle in Nonlocal Capillarity Problems.
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- Journal of Nonlinear Science, 2017, v. 27, n. 5, p. 1531, doi. 10.1007/s00332-017-9378-1
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- Article
A rigidity result for non-local semilinear equations.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2017, v. 147, n. 5, p. 1009, doi. 10.1017/S0308210516000391
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- Article
Regularity and Bernstein-type results for nonlocal minimal surfaces.
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- Journal für die Reine und Angewandte Mathematik, 2017, v. 2017, n. 729, p. 263, doi. 10.1515/crelle-2015-0006
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- Article
Planelike Interfaces in Long-Range Ising Models and Connections with Nonlocal Minimal Surfaces.
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- Journal of Statistical Physics, 2017, v. 167, n. 6, p. 1401, doi. 10.1007/s10955-017-1783-1
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- Article
Regularity and rigidity theorems for a class of anisotropic nonlocal operators.
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- Manuscripta Mathematica, 2017, v. 153, n. 1/2, p. 53, doi. 10.1007/s00229-016-0875-6
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- Article
Bifurcation results for a fractional elliptic equation with critical exponent in $$\mathbb {R}^n$$.
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- Manuscripta Mathematica, 2017, v. 153, n. 1/2, p. 183, doi. 10.1007/s00229-016-0878-3
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- Article
All functions are locally s-harmonic up to a small error.
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- Journal of the European Mathematical Society (EMS Publishing), 2017, v. 19, n. 4, p. 957, doi. 10.4171/JEMS/684
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- Article
Chaotic Orbits for Systems of Nonlocal Equations.
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- Communications in Mathematical Physics, 2017, v. 349, n. 2, p. 583, doi. 10.1007/s00220-016-2713-9
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- Article
Is a nonlocal diffusion strategy convenient for biological populations in competition?
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- Journal of Mathematical Biology, 2017, v. 74, n. 1/2, p. 113, doi. 10.1007/s00285-016-1019-z
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- Article
Asymptotically linear problems driven by fractional Laplacian operators.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 16, p. 3551, doi. 10.1002/mma.3438
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- Article
Crystal Dislocations with Different Orientations and Collisions.
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- Archive for Rational Mechanics & Analysis, 2015, v. 217, n. 1, p. 231, doi. 10.1007/s00205-014-0832-z
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- Article
Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting.
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- Communications in Mathematical Physics, 2015, v. 333, n. 2, p. 1061, doi. 10.1007/s00220-014-2118-6
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- Article
Gradient Bounds and Rigidity Results for Singular, Degenerate, Anisotropic Partial Differential Equations.
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- Communications in Mathematical Physics, 2014, v. 331, n. 1, p. 189, doi. 10.1007/s00220-014-2107-9
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- Article
A Widder's Type Theorem for the Heat Equation with Nonlocal Diffusion.
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- Archive for Rational Mechanics & Analysis, 2014, v. 213, n. 2, p. 629, doi. 10.1007/s00205-014-0733-1
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