Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleNon-radial solutions to a bi-harmonic equation with negative exponent.AuthorsHyder, Ali; Wei, JunchengAbstractWe prove the existence of smooth non-radial entire solution to Δ 2 u + u - q = 0 in R 3 , u > 0 , for q > 1 . This answers an open question raised by McKenna and Reichel (Electron J Differ Equ 37:1–3, 2003).SubjectsEXPONENTS; EQUATIONS; OPEN-ended questions; INTEGRAL functions; ELECTRONSPublicationCalculus of Variations & Partial Differential Equations, 2019, Vol 58, Issue 6, pN.PAGISSN0944-2669Publication typeArticleDOI10.1007/s00526-019-1647-4