Reference health
Orbital stability of standing waves for some nonlinear Schr�dinger equations
18/18 checkable references clean · checked 2026-08-10
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
16 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 18 checked references that resolve
resolves10.1016/0022-1236(72)90001-8
On the existence and structure of stationary states for a nonlinear Klein-Gordan equation
resolves10.1016/0022-1236(79)90076-4
On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
resolves10.1063/1.523491
On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
resolves10.1017/S0305004100011919
The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods
resolves10.1002/sapm197757293
Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
resolves10.1016/0022-1236(78)90073-3
Decay and scattering of solutions of a nonlinear Schrödinger equation
resolves10.1063/1.1665418
General Theorem on Bifurcation and Its Application to the Hartree Equation of the Helium Atom
resolves10.2140/pjm.1967.22.477
Boundary value problems for a class of nonlinear differential equations
resolves10.1016/0022-247X(75)90213-9
An example in nonlinear functional analysis: The Hartree equation
The 16 references without a DOI — listed, not checked
no DOI — not checkedAdams, R.A., Clarke, F.H.: Gross's logarithmic sobolev inequality: a simple proof (preprint)
no DOI — not checkedBerestycki, H., Cazenave, T.: To appear
no DOI — not checkedBerestycki, H., Lions, P.L.: Existence d'ondes solitaires dans des probl�mes nonlin�aires du type Klein-Gordon. C. R. Paris287, 503?506 (1978);288, 395?398 (1979)
no DOI — not checkedBerestycki, H., Lions, P.L.: Nonlinear scalar fields equations. Parts I and II. Arch. Rat. Mech. Anal. (to appear)
no DOI — not checkedCazenave, T.: Equations de Schr�dinger non lin�aires. Th�se de 3�me cycle Univ. P. et M. Curie, Paris (1978)
no DOI — not checkedCazenave, T.: Stable solutions of the logarithmic Schr�dinger equation. Nonlinear Anal. T.M.A. (to appear)
no DOI — not checkedGinibre, J., Velo, G.: On a class of nonlinear Schr�dinger equations. III. Special theories in dimensions 1, 2, and 3. Ann. Inst. Henri Poincar�28, 287?316 (1978)
no DOI — not checkedGinibre, J., Velo, G.: Equation de Schr�dinger non lin�aire avec interaction non locale. C. R. Paris288, 683?685 (1979)
no DOI — not checkedGinibre, J., Velo, G.: On a class of nonlinear Schr�dinger equations with non local interaction. Math. Zeitschr. (to appear)
no DOI — not checkedLions, P.L.: Principe de concentration ? compacit� en calcul des variations. C. R. Paris294, 261?264 (1982)
no DOI — not checkedLions, P.L.: To appear
no DOI — not checkedMacLeod, K., Serrin, J.: Personal communication
no DOI — not checkedNehari, Z.: On a nonlinear differential equation arising in nuclear physics. Proc. R. Irish Acad.62, 117?135 (1963)
no DOI — not checkedPecher, H., Von Wahl, W.: Time dependent nonlinear Schr�dinger equations. Manuscripta Mathematica (to appear)
no DOI — not checkedStrauss, W.: The nonlinear Schr�dinger equation. Proceedings of the Rio conference, August 1977
no DOI — not checkedSuydam, B.R.: Self-focusing of very powerful laser beams. U.S. Dept. of Commerce. N.B.S. Special Publication 387
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