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Semilinear problems for the fractional laplacian with a singular nonlinearity

Open mathematics (Warsaw, Poland), 2015-06, Vol.13 (1)

2015

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Elliptic and Parabolic Equations Involving the Hardy-Leray Potential

1, 2021

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A note on quasilinear equations with fractional diffusion

Mathematics in engineering, 2021-01, Vol.3 (2), p.1-28

2021

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Partial Differential Equations and Geometric Measure Theory: Cetraro, Italy 2014

1st Edition 2018, 2018

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Some existence and regularity results for porous media and fast diffusion equations with a gradient term

Transactions of the American Mathematical Society, 2015-07, Vol.367 (7), p.4757-4791

2015

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On a fractional quasilinear parabolic problem: the influence of the Hardy potential

Nonlinear differential equations and applications, 2018-08, Vol.25 (4), Article 30

2018

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Some remarks about the summability of nonlocal nonlinear problems

Advances in nonlinear analysis, 2015-05, Vol.4 (2), p.91-107

2015

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A note on the Fujita exponent in fractional heat equation involving the Hardy potential

Mathematics in engineering, 2020-01, Vol.2 (4), p.639-656

2020

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Towards a deterministic KPZ equation with fractional diffusion: the stationary problem

Nonlinearity, 2018-04, Vol.31 (4), p.1260-1298

2018

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Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations

Discrete and continuous dynamical systems. Series A, 2015-12, Vol.35 (12), p.6031-6068

2015

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Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

Calculus of variations and partial differential equations, 2016-08, Vol.55 (4), p.1-29, Article 99

2016

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Influence of the Hardy potential in a semilinear heat equation

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2009-10, Vol.139 (5), p.897-926

2009

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The effect of the Hardy potential in some Calderón–Zygmund properties for the fractional Laplacian

Journal of Differential Equations, 2016-06, Vol.260 (11), p.8160-8206

2016

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Towards a deterministic KPZ equation with fractional diffusion: the stationary problemThe authors were partially supported by Ministerio de Economia y Competitividad under grants MTM2013-40846-P and MTM2016-80474-P (Spain)

Nonlinearity, 2018-02, Vol.31 (4), p.1260-1298

2018

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Existence and nonexistence results for quasilinear elliptic equations involving the p-Laplacian with a critical potential

Annali di matematica pura ed applicata, 2003-08, Vol.182 (3), p.247-270

2003

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Some fourth order nonlinear elliptic problems related to epitaxial growth

Journal of Differential Equations, 2013-03, Vol.254 (6), p.2515-2531

2013

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A Widder’s Type Theorem for the Heat Equation with Nonlocal Diffusion

Archive for rational mechanics and analysis, 2014-08, Vol.213 (2), p.629-650

2014

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The critical hyperbola for a Hamiltonian elliptic system with weights

Annali di matematica pura ed applicata, 2008-07, Vol.187 (3), p.531-545

2008

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A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential

Discrete and continuous dynamical systems. Series A, 2006, Vol.16 (3), p.513-523

2006

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Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2008-10, Vol.25 (5), p.969-985

2008

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On the KPZ equation with fractional diffusion: Global regularity and existence results

Journal of Differential Equations, 2022-03, Vol.312, p.65-147

2022

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Optimal results for the fractional heat equation involving the Hardy potential

Nonlinear analysis, 2016-07, Vol.140, p.166-207

2016

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Fractional KPZ equations with critical growth in the gradient respect to Hardy potential

Nonlinear analysis, 2020-12, Vol.201, p.111942, Article 111942

2020

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Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian

Journal de mathématiques pures et appliquées, 2015-04, Vol.103 (4), p.924-957

2015

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Principal eigenvalue of mixed problem for the fractional Laplacian: Moving the boundary conditions

Journal of Differential Equations, 2018-07, Vol.265 (2), p.593-619

2018

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Semilinear problems for the fractional laplacian with a singular nonlinearity

Elliptic and Parabolic Equations Involving the Hardy-Leray Potential

A note on quasilinear equations with fractional diffusion

Partial Differential Equations and Geometric Measure Theory: Cetraro, Italy 2014

Some existence and regularity results for porous media and fast diffusion equations with a gradient term

On a fractional quasilinear parabolic problem: the influence of the Hardy potential

Some remarks about the summability of nonlocal nonlinear problems

A note on the Fujita exponent in fractional heat equation involving the Hardy potential

Towards a deterministic KPZ equation with fractional diffusion: the stationary problem

Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations

Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

Influence of the Hardy potential in a semilinear heat equation

The effect of the Hardy potential in some Calderón–Zygmund properties for the fractional Laplacian

Towards a deterministic KPZ equation with fractional diffusion: the stationary problemThe authors were partially supported by Ministerio de Economia y Competitividad under grants MTM2013-40846-P and MTM2016-80474-P (Spain)

Existence and nonexistence results for quasilinear elliptic equations involving the p-Laplacian with a critical potential

Some fourth order nonlinear elliptic problems related to epitaxial growth

A Widder’s Type Theorem for the Heat Equation with Nonlocal Diffusion

The critical hyperbola for a Hamiltonian elliptic system with weights

A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential

Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations

On the KPZ equation with fractional diffusion: Global regularity and existence results

Optimal results for the fractional heat equation involving the Hardy potential

Fractional KPZ equations with critical growth in the gradient respect to Hardy potential

Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian

Principal eigenvalue of mixed problem for the fractional Laplacian: Moving the boundary conditions

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