02373cam  22003858i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000370013305000230017010000360019324501070022926300090033626400610034530000330040633600260043933700280046533800270049349000740052050502800059450600500087452005240092450400410144853300950148953800360158458800470162065000380166765000370170577601530174285600440189585600480193920662049RPAM20180912134937.0m      b    000 0 cr/|||||||||||180912s2018    riu     ob    000 0 eng c  a9781470444174 (online)  aLBSOR/DLCbengerdacLBSORdRPAM00aQA377b.H5773 20181 aHonda, Shouhei,d1981-eauthor.10aElliptic PDEs on compact Ricci limit spaces and applications /h[electronic resource] cShouhei Honda.  a1805 1aProvidence, RI :bAmerican Mathematical Society,c[2018]  a1 online resource (page cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 121100tChapter 1. IntroductiontChapter 2. PreliminariestChapter 3. $L^p$-convergence revisitedtChapter 4. Poisson's equationstChapter 5. Schrčodinger operators and generalized Yamabe constantstChapter 6. Rellich type compactness for tensor fieldstChapter 7. Differential forms1 aAccess is restricted to licensed institutions  a"In this paper we study elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular we establish continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrčodinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. We apply these to the study of second-order differential calculus on such limit spaces"--cProvided by publisher.  aIncludes bibliographical references.  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2018  aMode of access : World Wide Web  aDescription based on print version record. 0aDifferential equations, Elliptic. 0aDifferential equations, Partial.0 iPrint version: aHonda, Shouhei, 1981-tElliptic PDEs on compact Ricci limit spaces and applications /w(DLC)   2018020536x0065-9266z97814704285494 3Contentsuhttp://www.ams.org/memo/1211/4 3Contentsuhttps://doi.org/10.1090/memo/1211