논문KCI 등재
Caccioppoli Type Inequality for Weak Solutions of A-harmonic Equation and Its Applications
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Abstract
In this paper, we use a sufficient and necessary condition of weak solutions of A-harmonic equation to obtain the Caccioppoli type inequality and reverse Hőlder inequality. As some applications of the above results, we derive the Lp-integrability, Hőlder continuity and almost everywhere differentiability for weak solutions of A-harmonic equation. The same results were given for the component functions of quasi regular mappings.
참고문헌 (5)
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- "Quasiregularmappings and WT-classes of differential forms on Riemannian manifolds", 202(1), pp.73~92 (2002)
- "T. Kilpel¨ainen and O. Martio", clarendon press (1993)
- "Elliptic partial differential equations of second order", springer-verlag (1983)
- "Asymptotic properties of subsolutions of quasilinear equations ofelliptic type and mappings with bounded distortion Engl.transl. in Math. USSR Sb.", pp.42 37~66 60
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