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We prove an existence result of entropy solutions for the nonlinear parabolic problems with obstacle in
and
a.e. in
where b(x, u) is a strictly increasing
-function of u, the term
is a Leray–Lions type operator and the function
is a nonlinear lower order term and satisfies only growth condition. The data f belongs to
. The proof is based on the penalization methods.
AMS Subject Classifications:
No potential conflict of interest was reported by the authors.
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