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On regular solutions of a nonlinear equation of Choquard’s type. (English) Zbl 0449.35034


MSC:

35J60 Nonlinear elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35J25 Boundary value problems for second-order elliptic equations
35A30 Geometric theory, characteristics, transformations in context of PDEs
35B65 Smoothness and regularity of solutions to PDEs

Citations:

Zbl 0369.35022
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References:

[1] Gustafson, Rend. Mat. 4 pp 723– (1971)
[2] DOI: 10.1002/cpa.3160060301 · Zbl 0051.32703
[3] Brezis, North-Holland Math. Studies 30 (1977)
[4] Bader, Proc. Roy. Soc. 82 pp 27– (1978) · Zbl 0403.45021
[5] DOI: 10.1007/BF00275993 · Zbl 0287.34032
[6] Hardy, Inequalities (1952)
[7] Lieb, Studies in Appi Math. 57 pp 93– (1977) · Zbl 0369.35022
[8] DOI: 10.1063/1.1665418
[9] DOI: 10.1007/BF01609845
[10] Kato, Perturbation theory for linear operators (1966) · Zbl 0148.12601
[11] Hartree, The calculations of atomic structures (1957)
[12] DOI: 10.1007/BF01626517 · Zbl 0356.35028
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