Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Two-weight Caccioppoli inequalities for solutions of nonhomogeneous -harmonic equations on Riemannian manifolds

Author(s): Shusen Ding
Journal: Proc. Amer. Math. Soc. 132 (2004), 2367-2375.
MSC (2000): Primary 35J60; Secondary 31C45, 58A10, 58J05
Posted: February 13, 2004
MathSciNet review: 2052415
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Abstract: In this paper, we first prove the local two-weight Caccioppoli inequalities for solutions to the nonhomogeneous -harmonic equation of the form $d^{\star} A(x, d \omega) =B(x,d\omega)$ . Then, as applications of the local results, we prove the global two-weight Caccioppoli-type inequalities for these solutions on Riemannian manifolds.

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