On conformally invariant equation \((-\Delta)^p u-K(x)u^{\frac{N+2p}{N-2p}}=0\) and its generalizations

DOI10.1007/BF02505961zbMath1030.35062MaRDI QIDQ1409665

Guozhen Lu, Xingwang Xu, Wei, Juncheng

Publication date: 19 October 2003

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

polyharmonic operatorconformally invariant equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99)

Related Items (5)

Liouville-type theorems for higher-order Lane–Emden system in exterior domains ⋮ Liouville theorem and isolated singularity of fractional Laplacian system with critical exponents ⋮ COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY ⋮ Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians ⋮ Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on \(\mathbb{S}^n\)

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