Critical Point Theory for the Lorentz Force Equation
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DOI: 10.1007/s00205-018-01352-7
Abstract: AbstractIn this paper we study the existence and multiplicity of solutions of the Lorentz force equation $$\left(\frac{q'}{\sqrt{1-|q'|^2}}\right)'=E(t,q) + q'\times B(t,q)$$q′1-|q′|2′=E(t,q)+q′×B(t,q)with periodic or Dirichlet boundary conditions. In Special Relativity, this equation models the motion of a… read more here.
Keywords: lorentz force; force equation; point theory; critical point ... See more keywords