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Publikováno v:
Comptes Rendus Mathematique. 355:359-362
In this paper, we prove that if L ( x , u , v ) ∈ C 3 ( R 3 → R ) , L v v > 0 and L ≥ α | v | + β , α > 0 , then all problems (1) , (2) admit solutions in the class W 1 , 1 [ a , b ] , which are in fact C 3 -regular provided there are no pat