Existence results for <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:mi>p</a:mi> <a:mo stretchy="false">(</a:mo> <a:mi>x</a:mi> <a:mo stretchy="false">)</a:mo> </a:math> -curl systems emerging in electromagnetic theory

By using variational techniques and critical point theory, we study the existence and multiplicity of solutions for a class of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:mi>p</a:mi> <a:mo stretchy="false">(</a:mo> <a:mi>x</a:mi> <a:mo stretchy="false">)</a:mo> </a:math> -curl systems, which appear in the field of electromagnetism. In particular, we discuss the existence of one solution under an asymptotical behaviour of the nonlinear term at zero, and the existence of a sequence of solutions under suitable oscillating behaviour of the nonlinear term at infinity for the system.