A Stampacchia-type Inequality for a Fourth-order Elliptic Operator on Kähler Manifolds and Applications
نویسنده
چکیده
In this paper we will prove an integral inequality of Stampacchia-type for a fourth-order elliptic operator on complete and connected Kähler manifolds. Our inequality implies a Hodge-Kodaira orthogonal decomposition for the Sobolev-type space W(X). In particular we will able to prove, under suitable topological conditions on the manifold X, the existence of an isomorphism between the Aeppli groups Λ(X) and the groups H(X) of all global harmonic forms of bidegree (p, q).
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