The Collaborative International Dictionary of English v.0.48:

Solicit \So*lic"it\, v. t. [imp. & p. p. Solicited; p. pr. &
   vb. n. Soliciting.] [F. sollicier, L. sollicitare,
   solicitare, -atum, fr. sollicitus wholly (i. e., violently)
   moved; sollus whole + citus, p. p. of ciere to move, excite.
   See Solemn, Cite.]
   1. To ask from with earnestness; to make petition to; to
      apply to for obtaining something; as, to solicit person
      for alms.
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            Did I solicit thee
            From darkness to promote me?          --Milton.
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   2. To endeavor to obtain; to seek; to plead for; as, to
      solicit an office; to solicit a favor.
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            I view my crime, but kindle at the view,
            Repent old pleasures, and solicit new. --Pope.
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   3. To awake or excite to action; to rouse desire in; to
      summon; to appeal to; to invite.
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            That fruit . . . solicited her longing eye.
                                                  --Milton.
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            Sounds and some tangible qualities solicit their
            proper senses, and force an entrance to the mind.
                                                  --Locke.
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   4. To urge the claims of; to plead; to act as solicitor for
      or with reference to. [Obs.]
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            Should
            My brother henceforth study to forget
            The vow that he hath made thee, I would ever
            Solicit thy deserts.                  --Ford.
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   5. To disturb; to disquiet; -- a Latinism rarely used.
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            Hath any ill solicited thine ears?    --Chapman.
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            But anxious fears solicit my weak breast. --Dryden.
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   Syn: Syn. To beseech; ask; request; crave; supplicate;
        entreat; beg; implore; importune. See Beseech.
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WordNet (r) 3.0 (2006):

solicit
    v 1: make a solicitation or entreaty for something; request
         urgently or persistently; "Henry IV solicited the Pope for
         a divorce"; "My neighbor keeps soliciting money for
         different charities" [syn: solicit, beg, tap]
    2: make amorous advances towards; "John is courting Mary" [syn:
       woo, court, romance, solicit]
    3: approach with an offer of sexual favors; "he was solicited by
       a prostitute"; "The young man was caught soliciting in the
       park" [syn: hook, solicit, accost]
    4: incite, move, or persuade to some act of lawlessness or
       insubordination; "He was accused of soliciting his colleagues
       to destroy the documents"
    5: make a solicitation or petition for something desired; "She
       is too shy to solicit"