Abstract
This paper considers the existence of entropy solutions for some generalized elliptic p(u)-Laplacian problem with Fourier boundary conditions, when the variable exponent p is a real continuous function and we have dependency on the solution u. We get the results by assuming the right-hand sidefunction f to be an integrable function, and by using the regularization approach combined with the theoryof Sobolev spaces with variable exponents.
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