Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism

Published 4 Dec 2017 in math.AP | (1712.01135v1)

Abstract: In this paper, we study the existence and the nonexistence of solutions for a new class of $p(x)-$curl systems arising in electromagnetism. This work generalizes some results obtained in the $p-$curl case. There seems to be no results on the nonexistence of solutions for curl systems with variable exponent.

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