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(Boundedness of weak solutions).
Then (6.1) has extremal weak solutions in.
Global existence of weak solutions is proved.
The uniqueness isobtained for weak solutions.
Then (1.1) possesses infinitely many weak solutions.
We consider weak solutions of initial problems.
Theorem 2.1 (Stability of weak solutions).
Step 3. Existence of weak solutions.
With the aid of Gehring's lemma, we prove that these very weak solutions are weak solutions.
For weak solutions, Rojas-Medar and Boldrini [5] proved the existence of weak solutions, and in the 2D case, also proved the uniqueness of the weak solutions.
Thus ({u_{n} }) are weak solutions of the problem (P).
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