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Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

Stinga, Pablo Raúl

First edition., 2024

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Podoplanin expression in tumor-free resection margins of oral squamous cell carcinomas: an immunohistochemical and fractal analysis study

Histology and histopathology, 2010-06, Vol.25 (6), p.701

2010

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Fundamental Investigations Regarding Barrier Properties of Grafted PVOH Layers

International Journal of Polymer Science, 2012-01, Vol.2012 (2012), p.353-358

2012

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Fractional elliptic equations, Caccioppoli estimates and regularity

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2016-06, Vol.33 (3), p.767-807

2016

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Fractional Laplacian on the torus

Communications in contemporary mathematics, 2016-06, Vol.18 (3), p.1550033

2016

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Sharp extension problem characterizations for higher fractional power operators in Banach spaces

Journal of functional analysis, 2024-08, Vol.287 (3), p.110474, Article 110474

2024

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One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

Nonlinear analysis, 2020-04, Vol.193, p.111505, Article 111505

2020

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Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation

SIAM journal on mathematical analysis, 2017-01, Vol.49 (5), p.3893-3924

2017

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Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications

Advances in mathematics (New York. 1965), 2018-05, Vol.330, p.688-738

2018

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A PDE Approach to the Existence and Regularity of Surfaces of Minimum Mean Curvature Variation

Archive for rational mechanics and analysis, 2024-10, Vol.248 (5), p.70, Article 70

2024

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Fractional Derivatives: Fourier, Elephants, Memory Effects, Viscoelastic Materials, and Anomalous Diffusions

Notices of the American Mathematical Society, 2023-04, Vol.70 (4), p.1

Stinga, Pablo Raúl

2023

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Regularity estimates for nonlocal space-time master equations in bounded domains

Journal of evolution equations, 2021-03, Vol.21 (1), p.503-565

2021

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Regularity of viscosity solutions to fully nonlinear elliptic transmission problems

Advances in mathematics (New York. 1965), 2023-12, Vol.435, p.109353, Article 109353

2023

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Fractional elliptic equations in nondivergence form: definition, applications and Harnack inequality

Journal de mathématiques pures et appliquées, 2021-12, Vol.156, p.245-306

2021

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Differential response of biomarkers in the native European flat oyster Ostrea edulis and the non-indigenous Pacific oyster Crassostrea gigas co-exposed to cadmium and copper

Journal of experimental marine biology and ecology, 2020-02, Vol.523, p.151271, Article 151271

2020

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Fractional semilinear Neumann problems arising from a fractional Keller–Segel model

Calculus of variations and partial differential equations, 2015-09, Vol.54 (1), p.1009-1042

2015

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The fractional nonlocal Ornstein-Uhlenbeck equation, Gaussian symmetrization and regularity

Discrete and continuous dynamical systems. Series A, 2018-07, Vol.38 (7), p.3269-3298

2018

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The obstacle problem for a fractional Monge-Ampère equation

Communications in partial differential equations, 2020-06, Vol.45 (6), p.457-482

2020

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Harmonization of resources and technologies of transport modes at the terminal level in a logistics network

IOP conference series. Materials Science and Engineering, 2019-08, Vol.591 (1), p.12114

Stinga, V G

2019

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Diagnosis of Mycobacterium marinum Infection with Sporotrichoid Pattern

Acta dermato-venereologica, 2021-03, Vol.101 (3), p.adv00414-adv00414

2021

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Regularity for $$C^{1,\alpha }$$ Interface Transmission Problems

Archive for rational mechanics and analysis, 2021-04, Vol.240 (1), p.265-294

2021

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Maximum principles, extension problem and inversion for nonlocal one-sided equations

Journal of Differential Equations, 2016-04, Vol.260 (7), p.6333-6362

2016

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Harnack's inequality for fractional nonlocal equations

Discrete and continuous dynamical systems. Series A, 2013-07, Vol.33 (7), p.3153-3170

2013

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Harnack inequality for the fractional nonlocal linearized Monge–Ampère equation

Calculus of variations and partial differential equations, 2017-08, Vol.56 (4), p.1-45, Article 103

2017

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Harnack Inequalities and Hölder Estimates for Master Equations

SIAM journal on mathematical analysis, 2021-01, Vol.53 (2), p.2319-2348

2021

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Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

Podoplanin expression in tumor-free resection margins of oral squamous cell carcinomas: an immunohistochemical and fractal analysis study

Fundamental Investigations Regarding Barrier Properties of Grafted PVOH Layers

Fractional elliptic equations, Caccioppoli estimates and regularity

Fractional Laplacian on the torus

Sharp extension problem characterizations for higher fractional power operators in Banach spaces

One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation

Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications

A PDE Approach to the Existence and Regularity of Surfaces of Minimum Mean Curvature Variation

Fractional Derivatives: Fourier, Elephants, Memory Effects, Viscoelastic Materials, and Anomalous Diffusions

Regularity estimates for nonlocal space-time master equations in bounded domains

Regularity of viscosity solutions to fully nonlinear elliptic transmission problems

Fractional elliptic equations in nondivergence form: definition, applications and Harnack inequality

Differential response of biomarkers in the native European flat oyster Ostrea edulis and the non-indigenous Pacific oyster Crassostrea gigas co-exposed to cadmium and copper

Fractional semilinear Neumann problems arising from a fractional Keller–Segel model

The fractional nonlocal Ornstein-Uhlenbeck equation, Gaussian symmetrization and regularity

The obstacle problem for a fractional Monge-Ampère equation

Harmonization of resources and technologies of transport modes at the terminal level in a logistics network

Diagnosis of Mycobacterium marinum Infection with Sporotrichoid Pattern

Regularity for $$C^{1,\alpha }$$ Interface Transmission Problems

Maximum principles, extension problem and inversion for nonlocal one-sided equations

Harnack's inequality for fractional nonlocal equations

Harnack inequality for the fractional nonlocal linearized Monge–Ampère equation

Harnack Inequalities and Hölder Estimates for Master Equations

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