The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation

Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in R2

(2016) Claudianor O. Alves et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Nodal solutions for the Choquard equation

(2016) Marco Ghimenti et al.   JOURNAL OF FUNCTIONAL ANALYSIS

A critical fractional equation with concave–convex power nonlinearities

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

Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent

(2015) Vitaly Moroz et al.   COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method

(2015) Claudianor O. Alves et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Semi-classical states for the Choquard equation

(2014) Vitaly Moroz et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Existence of semiclassical ground state solutions for a generalized Choquard equation

(2014) Claudianor O. Alves et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

The Brezis-Nirenberg result for the fractional Laplacian

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

Existence of groundstates for a class of nonlinear Choquard equations

(2014) Vitaly Moroz et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics

(2013) Vitaly Moroz et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Positive and sign changing solutions to a nonlinear Choquard equation

(2013) Mónica Clapp et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part

(2012) Minbo Yang et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Multiple solutions to a magnetic nonlinear Choquard equation

(2011) Silvia Cingolani et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

On the Brézis–Nirenberg Problem

(2010) M. Schechter et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

The Brezis–Nirenberg type problem involving the square root of the Laplacian

(2010) Jinggang Tan   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

A note on Schrödinger–Newton systems with decaying electric potential

(2010) Simone Secchi   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Classification of Positive Solitary Solutions of the Nonlinear Choquard Equation

(2009) Li Ma et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Strongly interacting bumps for the Schrödinger–Newton equations

(2009) Juncheng Wei et al.   JOURNAL OF MATHEMATICAL PHYSICS