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Direct Methods for Pseudo-relativistic Schrödinger Operators

The Journal of geometric analysis, 2021-06, Vol.31 (6), p.5555-5618

2021

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Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications

Annali di matematica pura ed applicata, 2021-06, Vol.200 (3), p.1085-1134

2021

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Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane—Emden—Hardy equations

Journal d'analyse mathématique (Jerusalem), 2022, Vol.146 (2), p.673-718

2022

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Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians

Transactions of the American Mathematical Society, 2021-07, Vol.374 (7), p.4781-4813

2021

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Liouville theorem for poly-harmonic functions on R+n

Archiv der Mathematik, 2020, Vol.115 (3), p.317-327

2020

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Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy–Hénon type equations in Rn

Mathematische Zeitschrift, 2023, Vol.303 (4)

2023

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Remarks on orbital stability of steady vortex rings

Transactions of the American Mathematical Society, 2023-05, Vol.376 (5), p.3377-3395

2023

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Global solutions for the generalized SQG equation and rearrangements

Transactions of the American Mathematical Society, 2023-03, Vol.376 (3), p.2181-2211

2023

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Kármán vortex street for the generalized surface quasi-geostrophic equation

Calculus of variations and partial differential equations, 2023-07, Vol.62 (6), Article 168

2023

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Classification of nonnegative classical solutions to third-order equations

Advances in mathematics (New York. 1965), 2018-04, Vol.328, p.822-857

2018

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Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains

Journal of Differential Equations, 2020-10, Vol.269 (9), p.7231-7252

2020

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Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications

Journal of functional analysis, 2021-11, Vol.281 (10), p.109227, Article 109227

2021

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Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity

SIAM journal on mathematical analysis, 2023-01, Vol.55 (3), p.2111-2149

2023

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Liouville type theorems for Hardy–Hénon equations with concave nonlinearities

Mathematische Nachrichten, 2020-06, Vol.293 (6), p.1084-1093

2020

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Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes

Journal of Differential Equations, 2018-09, Vol.265 (5), p.2044-2063

2018

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Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations

SIAM journal on mathematical analysis, 2021-01, Vol.53 (2), p.1379-1410

2021

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Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation

Journal of functional analysis, 2024-10, Vol.287 (8), p.110570, Article 110570

2024

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Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation

Nonlinear analysis, 2023-03, Vol.228, p.113186, Article 113186

2023

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A note on the existence of stationary vortex patches for the SQG equation in bounded domain

Proceedings of the American Mathematical Society, 2023-11, Vol.151 (11), p.4881-4891

2023

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Liouville theorem for poly-harmonic functions on $${{\mathbb {R}}}^{n}_{+}

Archiv der Mathematik, 2020-09, Vol.115 (3), p.317-327

2020

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Liouville type theorem for higher order Hénon equations on a half space

Nonlinear analysis, 2019-06, Vol.183, p.284-302

2019

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Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy–Hénon type equations in $$\mathbb {R}^{n}

Mathematische Zeitschrift, 2023-04, Vol.303 (4), Article 104

2023

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Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians

Pacific journal of mathematics, 2018-08, Vol.295 (2), p.367-383

2018

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Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation

Journal of Differential Equations, 2021-10, Vol.299, p.429-462

2021

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Existence of stationary vortex sheets for the 2D incompressible Euler equation

Canadian journal of mathematics, 2023-06, Vol.75 (3), p.828-853

2023

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Direct Methods for Pseudo-relativistic Schrödinger Operators

Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications

Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane—Emden—Hardy equations

Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians

Liouville theorem for poly-harmonic functions on R+n

Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy–Hénon type equations in Rn

Remarks on orbital stability of steady vortex rings

Global solutions for the generalized SQG equation and rearrangements

Kármán vortex street for the generalized surface quasi-geostrophic equation

Classification of nonnegative classical solutions to third-order equations

Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains

Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications

Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity

Liouville type theorems for Hardy–Hénon equations with concave nonlinearities

Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes

Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations

Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation

Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation

A note on the existence of stationary vortex patches for the SQG equation in bounded domain

Liouville theorem for poly-harmonic functions on $${{\mathbb {R}}}^{n}_{+}

Liouville type theorem for higher order Hénon equations on a half space

Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy–Hénon type equations in $$\mathbb {R}^{n}

Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians

Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation

Existence of stationary vortex sheets for the 2D incompressible Euler equation

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