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

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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Cited by in corpus (2)

• Existence of solutions for systems arising in electromagnetism
• Nonvariational and singular double phase problems for the Baouendi-Grushin operator