Some Examples of Conjugate P-Harmonic Differential Forms

There has been new interest developing in the study of the Hodge theory and p-harmonic differential forms in recent years, largely pertaining to applications in quasi-conformal analysis, electromagnetic theory, relativity theory, mathematical physics, nonlinear potential theory, etc. In this paper, we develop an effective method to find conjugate p-harmonic differential forms in Rn by applying Hodge theory in calculations with the p-harmonic equation. As applications of the method, we obtain some interesting examples of conjugate p-harmonic differential forms.