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Solutions of the Schrödinger-Poisson problem concentrating on spheres. I: Necessary conditions. (English) Zbl 1173.35687


MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
35B40 Asymptotic behavior of solutions to PDEs
35J60 Nonlinear elliptic equations
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
58J05 Elliptic equations on manifolds, general theory
35A15 Variational methods applied to PDEs
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References:

[1] DOI: 10.1007/s00220-003-0811-y · Zbl 1072.35019
[2] Benci V., Top. Meth. Nonlinear Anal. 11 pp 283– · Zbl 0926.35125
[3] Beresticky H., Arch. Rat. Mech. Anal. 82 pp 313–
[4] Coclite G. M., Electronic J. Diff. Eqns. 94 pp 1–
[5] D’Avenia P., Adv. Nonlinear Stud. 2 pp 177–
[6] Gidas B., Adv. Math. Suppl. Stud. A. 7 pp 369–
[7] DOI: 10.1007/978-3-642-61798-0 · Zbl 0361.35003
[8] Ianni I., Adv. Nonlinear Stud. 8 pp 573–
[9] DOI: 10.1142/S0218202505003939 · Zbl 1074.81023
[10] DOI: 10.1007/BF01626517 · Zbl 0356.35028
[11] DOI: 10.1007/BF02096642 · Zbl 0795.35118
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.