The energy-critical NLS with inverse-square potential Killip, Rowan Miao, Changxing Visan, Monica Zhang, Junyong Zheng, Jiqiang We consider the defocusing energy-critical nonlinear Schrödinger equation with inverse-square potential iut = −∆u + a|x|^−2u + |u|^4u in three space dimensions. We prove global well-posedness and scattering for a >− 1/4 + 1/25. We also carry out the variational analysis needed to treat the focusing case. American Institute of Mathematical Sciences 2017 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22033 Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square potential. <i>Discrete and Continuous Dynamical Systems</i>. 2017;37(7):3831-3866. doi:<a href="https://doi.org/10.3934/dcds.2017162">10.3934/dcds.2017162</a> eng info:eu-repo/semantics/altIdentifier/doi/10.3934/dcds.2017162 info:eu-repo/semantics/altIdentifier/issn/1078-0947 info:eu-repo/semantics/altIdentifier/e-issn/1553-5231 info:eu-repo/semantics/altIdentifier/arxiv/1509.05822 info:eu-repo/semantics/openAccess