LEADER 04768nam 22008053 450 001 9911100672603321 005 20231110232453.0 010 $a9781470470142 010 $a1470470144 035 $a(MiAaPQ)EBC6852907 035 $a(Au-PeEL)EBL6852907 035 $a(CKB)20667664900041 035 $a(RPAM)22493618 035 $a(OCoLC)1292081275 035 $a(EXLCZ)9920667664900041 100 $a20220117d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2022. 210 4$dİ2022. 215 $a1 online resource (128 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vv.275 300 $a"Volume 275. January 2022." 311 08$aPrint version: Akman, Murat The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity Providence : American Mathematical Society,c2022 9781470450526 320 $aIncludes bibliographical references. 327 $aNotation and statement of results -- Basic estimates for A-harmonic functions -- Preliminary reductions for the proof of theorem A -- Proof of theorem A -- Final proof of theorem A -- Appendix -- Introduction and statement of results -- Boundary behavior of A-harmonic functions in Lipschitz domains -- Boundary Harnack inequalities -- Weak convergence of certain measures on Sn-1 -- The Hadamard variational formula for nonlinear capacity -- Proof of theorem B. 330 $a"In this article we study two classical potential-theoretic problems in convex geometry. The first problem is an inequality of Brunn-Minkowski type for a nonlinear capacity, CapA, where A-capacity is associated with a nonlinear elliptic PDE whose structure is modeled on the p-Laplace equation and whose solutions in an open set are called A-harmonic"--$cProvided by publisher. 410 0$aMemoirs of the American Mathematical Society 606 $aMinkowski geometry 606 $aInequalities (Mathematics) 606 $aNonlinear theories 606 $aElliptic functions 606 $aHarmonic functions 606 $aPartial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations$2msc 606 $aPotential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length$2msc 606 $aDifference and functional equations -- Functional equations and inequalities -- Functional inequalities, including subadditivity, convexity, etc.$2msc 606 $aConvex and discrete geometry -- General convexity -- Inequalities and extremum problems$2msc 606 $aPartial differential equations -- Elliptic equations and systems -- Variational methods for second-order elliptic equations$2msc 606 $aConvex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces)$2msc 606 $aPartial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with $p$-Laplacian$2msc 615 0$aMinkowski geometry. 615 0$aInequalities (Mathematics) 615 0$aNonlinear theories. 615 0$aElliptic functions. 615 0$aHarmonic functions. 615 7$aPartial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations. 615 7$aPotential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length. 615 7$aDifference and functional equations -- Functional equations and inequalities -- Functional inequalities, including subadditivity, convexity, etc.. 615 7$aConvex and discrete geometry -- General convexity -- Inequalities and extremum problems. 615 7$aPartial differential equations -- Elliptic equations and systems -- Variational methods for second-order elliptic equations. 615 7$aConvex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces). 615 7$aPartial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with $p$-Laplacian. 676 $a515/.3533 676 $a515.3533 686 $a35J60$a31B15$a39B62$a52A40$a35J20$a52A20$a35J92$2msc 700 $aAkman$b Murat$01959010 701 $aGong$b Jasun$01959011 701 $aHineman$b Jay$01959012 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911100672603321 996 $aThe Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity$94719840 997 $aUNINA LEADER 03309nam 2200613 a 450 001 9911140053203321 005 20251116202842.0 010 $a1-281-31433-1 010 $a9786611314330 010 $a3-540-76373-2 024 7 $a10.1007/978-3-540-76373-4 035 $a(CKB)1000000000404780 035 $a(EBL)364585 035 $a(OCoLC)239045059 035 $a(SSID)ssj0000297392 035 $a(PQKBManifestationID)11947363 035 $a(PQKBTitleCode)TC0000297392 035 $a(PQKBWorkID)10333393 035 $a(PQKB)10086870 035 $a(DE-He213)978-3-540-76373-4 035 $a(MiAaPQ)EBC364585 035 $a(Au-PeEL)EBL364585 035 $a(CaPaEBR)ebr10225242 035 $a(CaONFJC)MIL131433 035 $a(PPN)125217854 035 $a(EXLCZ)991000000000404780 100 $a20081014d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeological atlas of Africa $ewith notes on stratigraphy, tectonics, economic geology, geohazards and geosites of each country /$fThomas Schlu?ter ; with contributions by Martin H. Trauth 205 $a2nd four-coloured rev. and enl. ed. 210 $aBerlin $cSpringer$d2008 215 $a1 online resource (318 p.) 300 $aTwo columns to the page. 311 08$a3-540-76324-4 320 $aIncludes bibliographical references and indexes. 327 $aAims and Concepts of the Atlas -- Early Geological Maps of Africa -- Tectonostratigraphic Synopsis -- Review of Countries and Teritorries. 330 $aT is atlas is intended primarily for anybody who is in-some background for the arrangement of how the terested in basic geology of Africa. Its originality lies atlas was done. T e second chapter is devoted to the in the fact that the regional geology of each African history of geological mapping in Africa, necessary nation or territory is reviewed country-wise by maps for a fuller appreciation of why this work in Africa is and text, a view normally not presented in textbooks worth doing. Chapter 3 provides an executive s- of regional geology. It is my belief, that there has long mary on the stratigraphy and tectonics of Africa as a been a need in universities and geological surveys, whole, i. e. in the context of no political boundaries. both in Africa and in the developed world, for sum- T e main part of the atlas lies in Chapter 4, where in marizing geological maps and an accompanying basic alphabetical order each African country or territory text utilising the enormous fund of knowledge that is presented by a digitized geological overview map has been accumulated since the beginning of geologi- and an accompanying text on its respective strat- th cal research in Africa in the mid-19 century. I hope raphy, tectonics, economic geology, geohazards and that, in part, the present atlas may satisfy this need. geosites. A short list of relevant references is also a- ed. 606 $aGeology$zAfrica$vAtlases 607 $aAfrica$vMaps 615 0$aGeology 676 $a556 676 $a912.6 700 $aSchlu?ter$b Thomas 701 $aTrauth$b Martin H 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911140053203321 997 $aUNINA