Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds

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Abstract

We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.

Keywords:

Riemannian manifolds Yamabe equation Hardy potential.
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DOI

10.4208/jpde.v37.n1.1

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Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds. (2024). Journal of Partial Differential Equations, 37(1), 1-24. https://doi.org/10.4208/jpde.v37.n1.1