Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods

Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems

(2021) Víctor Hernández-Santamaría et al.   ADVANCED NONLINEAR STUDIES

Morse index versus radial symmetry for fractional Dirichlet problems

(2021) Mouhamed Moustapha Fall et al.   ADVANCES IN MATHEMATICS

The fractional Brezis-Nirenberg problems on lower dimensions

(2021) Yuxia Guo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A new look at the fractional Poisson problem via the Logarithmic Laplacian

(2020) Sven Jarohs et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Regularity results for nonlocal equations and applications

(2020) Mouhamed Moustapha Fall   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains

(2019) F. De Marchis et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

A critical elliptic problem involving fractional Laplacian operator in domains with shrinking holes

(2019) Wei Long et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Semilinear Dirichlet problem for the fractional Laplacian

(2019) Krzysztof Bogdan et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

A short proof of local regularity of distributional solutions of Poisson’s equation

(2019) Giovanni Di Fratta et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Green function and Martin kernel for higher-order fractional Laplacians in balls

(2018) Nicola Abatangelo et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Paths to uniqueness of critical points and applications to partial differential equations

(2018) Denis Bonheure et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Bubbling solutions for nonlocal elliptic problems

(2017) Juan Dávila et al.   REVISTA MATEMATICA IBEROAMERICANA

Monotonicity and nonexistence results for some fractional elliptic problems in the half-space

(2016) Mouhamed Moustapha Fall et al.   COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Hopf’s lemma and constrained radial symmetry for the fractional Laplacian

(2016) Antonio Greco et al.   MATHEMATICAL RESEARCH LETTERS

A critical fractional equation with concave–convex power nonlinearities

(2015) B. Barrios et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Uniqueness of Radial Solutions for the Fractional Laplacian

(2015) Rupert L. Frank et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Large $s$-harmonic functions and boundary blow-up solutions for the fractional Laplacian

(2015) Nicola Abatangelo   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Overdetermined problems with fractional laplacian

(2015) Mouhamed Moustapha Fall et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Overdetermined problems with fractional laplacian

(2015) Mouhamed Moustapha Fall et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

The Pohozaev Identity for the Fractional Laplacian

(2014) Xavier Ros-Oton et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Uniqueness and Nondegeneracy of Positive Solutions of $${(-\Delta)^s u + u = u^p \, {\rm in} \, \mathbb{R}^N}$$ ( - Δ ) s u + u = u p in R N when s is Close to 1

(2014) Mouhamed Moustapha Fall et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

The fractional Cheeger problem

(2014) Lorenzo Brasco et al.   INTERFACES AND FREE BOUNDARIES

On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions

(2014) Tianling Jin et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

The Brezis-Nirenberg result for the fractional Laplacian

(2014) Raffaella Servadei et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Uniqueness of non-linear ground states for fractional Laplacians in ${\mathbb{R}}$

(2013) Rupert L. Frank et al.   ACTA MATHEMATICA

A Brezis-Nirenberg result for non-local critical equations in low dimension

(2013) Raffaella Servadei et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations

(2013) Tobias Weth et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary

(2013) Xavier Ros-Oton et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

A concave—convex elliptic problem involving the fractional Laplacian

(2013) C. Brändle et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Variational methods for non-local operators of elliptic type

(2012) Enrico Valdinoci et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Nonexistence results for a class of fractional elliptic boundary value problems

(2012) Mouhamed Moustapha Fall et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Hitchhikerʼs guide to the fractional Sobolev spaces

(2011) Eleonora Di Nezza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Mountain Pass solutions for non-local elliptic operators

(2011) Raffaella Servadei et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Asymptotically radial solutions in expanding annular domains

(2011) Thomas Bartsch et al.   MATHEMATISCHE ANNALEN

Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus

(2010) Francesca Gladiali et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

A uniqueness result for a semilinear elliptic problem: A computer-assisted proof

(2009) P.J. McKenna et al.   JOURNAL OF DIFFERENTIAL EQUATIONS