5472 records matched your query
03410aam a2200349 i 4500 001 3AEEFDA6072811ED93C2E7E557ECA4DB 003 SILO 005 20220719010102 008 220506t20222022riu b 000 0 eng d 020 $a 9781470451608 020 $a 1470451603 035 $a (OCoLC)1314258841 040 $a YDX $b eng $e rda $c YDX $d UNBCA $d EAU $d PAU $d NUI $d SILO 050 4 $a QA3 $b .A557 no.1360 100 1 $a Kolesnikov, Alexander V., $e author 245 10 $a Local LP-Brunn-Minkowski inequalities for p<1 / $c Alexander V. Kolesnikov, Emanuel Milman. 264 1 $a Providence, RI : $b AMS, American Mathematical Society, $c [2022] 300 $a v, 78 pages ; $c 26 cm. 490 1 $a Memoirs of the American Mathematical Society, $x 0065-9266 ; $v Number 1360 500 $a "May 2022, volume 277, number 1360 (first of 6 numbers)." 504 $a Includes bibliographical references (pages 75-78). 505 0 $a Chapter 1. Introduction -- 1.1 Previously known partial results -- 1.2 Main results -- 1.3 Spectral interpretation vs the Hilbert-Brunn-Minkowski operator -- 1.4 Method of proof -- 1.5 Applications -- Chapter 2. Notation -- Chapter 3. Global vs. local formulations of the LP-Brunn-Minkowski conjecture -- 3.1 Standard equivalent global formulations 3.2 global vs. local LP-Brunn-Minkowski -- Chapter 4. Local LP-Brunn-Minkowski conjecture - infinitesimal formulation -- 4.1 Mixed surface area and volume of C2 functions -- 4.2 Properties of mixed surface area and volume -- 4.3 Second LP-Minkowski inequality -- 4.4 Comparison with classical p=1 case -- 4.5 Infinitesimal formulation on Sn-1 -- 4.6 Infinitesimal formulation On âK -- Chapter 5. Relation to Hilbert-Brunn-Minkowski operator and linear equivariance -- 5.1 Hilbert-Brunn-Minkowski operator -- 5.2 Linear equivariance of the Hilbert-Brunn-Minkowski operator -- 5.3 Spectral minimization problem and potential extremizers -- Chapter 6. Obtaining estimates via the Reilly formula -- 6.1 A sufficient condition for confirming the local p-BM inequality -- 6.2 General estimate on D(K) -- 6.3 Examples -- Chapter 7. The second Steklov operator and BH (Bn2) -- 7.1 Second Steklov operator -- 7.2 Computing BH (Bn2) -- Chapter 8. Unconditional convex bodies and the cube -- 8.1 Unconditional convex bodies -- 8.2 The cube -- Chapter 9. Local log-Brunn-Minkowski via the Reilly Formula -- 9.1 Sufficient condition for verifying local log-Brunn-Minkowski -- 9.2 An alternative derivation via estimating BH(K) -- Chapter 10. Continuity of BH, B, D with application to Bnq -- 10.1 Continuity of BH, B, D in C-topology -- 10.2 The cube -- 10.3 Unit-balls of lnq -- Chapter 11. Local uniqueness for even Lp-Minkowski problem -- Chapter 12. Stability estimates for Brunn-Minkowski and isoperimetric inequalities -- 12.1 New stability estimates for origin-symmetric convex bodies with respect to variance -- 12.2 Improved stability estimates for all convex bodies with respect to asymmetry. 650 0 $a Convex domains. 650 0 $a Mathematical analysis. 650 0 $a Minkowski geometry. 650 0 $a Inequalities (Mathematics) 700 1 $a Milman, Emanuel, $d 1977- $e author. 773 18 $w 990007620060202771 $g no:31858073069910 830 0 $a Memoirs of the American Mathematical Society ; $v no. 1360. 941 $a 1 952 $l OVUX522 $d 20231117020146.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=3AEEFDA6072811ED93C2E7E557ECA4DBInitiate Another SILO Locator Search