Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems

Characterisation of homogeneous fractional Sobolev spaces

(2021) Lorenzo Brasco et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Phase Separation, Optimal Partitions, and Nodal Solutions to the Yamabe Equation on the Sphere

(2020) Mónica Clapp et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

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

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

Non-local to local transition for ground states of fractional Schrödinger equations on $$\mathbb {R}^N$$

(2020) Bartosz Bieganowski et al.   Journal of Fixed Point Theory and Applications

Entire nodal solutions to the critical Lane-Emden system

(2019) Mónica Clapp et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Low energy nodal solutions to the Yamabe equation

(2019) Juan Carlos Fernández et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Gagliardo–Nirenberg inequalities and non-inequalities: The full story

(2018) Haïm Brezis et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Integral representation of solutions to higher-order fractional Dirichlet problems on balls

(2018) Nicola Abatangelo et al.   COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Entire nodal solutions to the pure critical exponent problem for the p -Laplacian

(2018) Mónica Clapp et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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

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

On the loss of maximum principles for higher-order fractional Laplacians

(2018) Nicola Abatangelo et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Boggio’s formula for fractional polyharmonic Dirichlet problems

(2016) Serena Dipierro et al.   ANNALI DI MATEMATICA PURA ED APPLICATA

Entire nodal solutions to the pure critical exponent problem arising from concentration

(2016) Mónica Clapp   JOURNAL OF DIFFERENTIAL EQUATIONS

Entire sign-changing solutions with finite energy to the fractional Yamabe equation

(2016) Danilo Garrido et al.   PACIFIC JOURNAL OF MATHEMATICS

The Pohozaev Identity for the Fractional Laplacian

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

Local integration by parts and Pohozaev identities for higher order fractional Laplacians

(2014) Joaquim Serra et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Nondegeneracy of the bubble in the critical case for nonlocal equations

(2013) Juan Dávila et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Large energy entire solutions for the Yamabe equation

(2011) Manuel del Pino et al.   JOURNAL OF DIFFERENTIAL EQUATIONS