Boundary Operators Associated With the Sixth-Order GJMS Operator
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DOI: 10.1093/imrn/rnz121
Abstract: We describe a set of conformally covariant boundary operators associated with the 6th-order Graham--Jenne--Mason--Sparling (GJMS) operator on a conformally invariant class of manifolds that includes compactifications of Poincaré–Einstein manifolds. This yields a conformally covariant energy… read more here.
Keywords: boundary operators; order; gjms; gjms operator ... See more keywords
Multiplicity of solutions for an elliptic problem involving GJMS operator
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DOI: 10.2298/fil2405547o
Abstract: Given a compact Riemannian manifold (M, 1) of dimension n ? 3 without boundary, using the variational methods, we study the existence of solutions for the elliptic equation Pkgu = f|u|N?2u + ?h|u|q?2u, (1) where… read more here.
Keywords: operator; multiplicity solutions; elliptic problem; solutions elliptic ... See more keywords