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

Anouar Bahrouni; Du\v{s}an Repov\v{s}

arxiv: 1712.01135 · v1 · pith:E3LBG3BHnew · submitted 2017-12-04 · 🧮 math.AP

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

Anouar Bahrouni , Du\v{s}an Repov\v{s} This is my paper

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keywords curlnonexistencesolutionssystemsarisingelectromagnetismexistenceresults

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

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