Wordnet 3.0
ADJECTIVE (2)
1. 
 caught or fixed; 
- Example: "stuck in the mud"2. 
 baffled; 
- Example: "this problem has me completely stuck"
The Collaborative International Dictionary of English v.0.48:
Stick \Stick\, v. t. [imp. & p. p. Stuck(Obs. Sticked); p.
   pr. & vb. n. Sticking.] [OE. stikien, v.t. & i., combined
   with steken, whence E. stuck), AS. stician, v.t. & i., and
   (assumed) stecan, v.t.; akin to OFries. steka, OS. stekan,
   OHG. stehhan, G. stechen, and to Gr. ? to prick, Skr. tij to
   be sharp. Cf. Distinguish, Etiquette, Extinct,
   Instigate, Instinct, Prestige, Stake, Steak,
   Stick, n., Stigma, Stimulate, Sting, Stitch in
   sewing, Style for or in writing.]
   1. To penetrate with a pointed instrument; to pierce; to
      stab; hence, to kill by piercing; as, to stick a beast.
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            And sticked him with bodkins anon.    --Chaucer.
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            It was a shame . . . to stick him under the other
            gentleman's arm while he was redding the fray. --Sir
                                                  W. Scott.
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   2. To cause to penetrate; to push, thrust, or drive, so as to
      pierce; as, to stick a needle into one's finger.
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            Thou stickest a dagger in me.         --Shak.
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   3. To fasten, attach, or cause to remain, by thrusting in;
      hence, also, to adorn or deck with things fastened on as
      by piercing; as, to stick a pin on the sleeve.
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            My shroud of white, stuck all with yew. --Shak.
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            The points of spears are stuck within the shield.
                                                  --Dryden.
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   4. To set; to fix in; as, to stick card teeth.
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   5. To set with something pointed; as, to stick cards.
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   6. To fix on a pointed instrument; to impale; as, to stick an
      apple on a fork.
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   7. To attach by causing to adhere to the surface; as, to
      stick on a plaster; to stick a stamp on an envelope; also,
      to attach in any manner.
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   8. (Print.) To compose; to set, or arrange, in a composing
      stick; as, to stick type. [Cant]
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   9. (Joinery) To run or plane (moldings) in a machine, in
      contradistinction to working them by hand. Such moldings
      are said to be stuck.
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   10. To cause to stick; to bring to a stand; to pose; to
       puzzle; as, to stick one with a hard problem. [Colloq.]
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   11. To impose upon; to compel to pay; sometimes, to cheat.
       [Slang]
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   To stick out, to cause to project or protrude; to render
      prominent.
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The Collaborative International Dictionary of English v.0.48:
Stuck \Stuck\,
   imp. & p. p. of Stick.
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The Collaborative International Dictionary of English v.0.48:
Stuck \Stuck\, n. [Cf. 1st Stoccado.]
   A thrust. [Obs.] --Shak.
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WordNet (r) 3.0 (2006):
stuck
    adj 1: caught or fixed; "stuck in the mud" [ant: unstuck]
    2: baffled; "this problem has me completely stuck"
Moby Thesaurus II by Grady Ward, 1.0:
73 Moby Thesaurus words for "stuck":
   addled, adhering, agglutinate, aground, anchored, at a loss,
   at a nonplus, at a stand, at a standstill, at an impasse, baffled,
   bamboozled, beat, bewildered, bonded, buffaloed, castaway, caught,
   cemented, chained, cleaving, clinging, close, coherent, cohering,
   cohesive, confounded, dazed, fast, fastened, firm, fixed, floored,
   foundered, fuddled, glued, grounded, held, high and dry,
   holding together, impacted, in a dilemma, in suspense,
   inextricable, jammed, licked, marooned, moored, muddled, mystified,
   nonplussed, on tenterhooks, on the rocks, packed, perplexed,
   puzzled, secure, set, set fast, shipwrecked, sticking, stranded,
   stuck fast, stumped, swamped, taped, tethered, thrown, tied, tight,
   transfixed, wedged, wrecked