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Moroz, Vitaly; Van Schaftingen, Jean

Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. (English) Zbl 1326.35109

Commun. Contemp. Math. 17, No. 5, Article ID 1550005, 12 p. (2015).

Cited in 1 Review
Cited in 115 Documents

MSC:

35J20 Variational methods for second-order elliptic equations
35B33 Critical exponents in context of PDEs
35J91 Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian
35Q55 NLS equations (nonlinear Schrödinger equations)

Keywords:

Choquard equation; Hartree equation; nonlinear Schrödinger equation; nonlocal problem; Riesz potential; Hardy-Littlewood-Sobolev inequality; lower critical exponent; strict inequality; concentration-compactness; concentration at infinity
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\textit{V. Moroz} and \textit{J. Van Schaftingen}, Commun. Contemp. Math. 17, No. 5, Article ID 1550005, 12 p. (2015; Zbl 1326.35109)
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