GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions

DOI10.1016/j.jde.2016.07.017zbMath1348.58011arXiv1512.02126OpenAlexW2191085963MaRDI QIDQ738716

Saikat Mazumdar

Publication date: 5 September 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02126

zbMATH Keywords

Riemannian manifoldcritical Sobolev exponentnonlinear elliptic problempolyharmonic operatorCoron-type solutionsGJMS-type operator

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Topological and monotonicity methods applied to PDEs (35A16)

Related Items

Sign-changing solutions for elliptic problem involving the sixth order \textit{GJMS} operator on compact manifold, Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds, Unnamed Item, The first GJMS invariant, Hardy-Sobolev equations with asymptotically vanishing singularity: blow-up analysis for the minimal energy, Struwe's decomposition for a polyharmonic operator on a compact Riemannian manifold with or without boundary, GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions, Nonhomogeneous polyharmonic elliptic problems involving GJMS operator on Riemannian manifold, Nodal solutions for elliptic equation involving the GJMS operators on compact manifolds, Multiple solutions to polyharmonic elliptic problem involving GJMS operator on compact manifolds

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