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.

References in corpus (1)

• On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting

Cited by in corpus (2)

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