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010 a| 2022007631;

020 a| 9781470450526q| (paperback);

020 z| 9781470470142q| (epub);

035 a| (WaSeSS)ssj0002593148;

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084 a| 35J60a| 31B15a| 39B62a| 52A40a| 35J20a| 52A20a| 35J922| msc;

100 1 a| Akman, Murat,d| 1983-?| UNAUTHORIZED;

245 14 a| The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacityh| [electronic resource] /c| Murat Akman, Jasun Gong, Jay Hineman, John Lewis, Andrew Vogel.;

260 a| Providence, RI :b| AMS, American Mathematical Society,c| 2022.;

300 a| vi, 115 pages ;c| 26 cm;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| Number 1348;

500 a| "Volume 275. January 2022.";

504 a| Includes bibliographical references.;

505 0 a| Notation 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.;

506 a| Available only to authorized users.;

520 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"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Minkowski geometry.=| ^A379489;

650 0 a| Inequalities (Mathematics)=| ^A22093;

650 0 a| Nonlinear theories.=| ^A16633;

650 0 a| Elliptic functions.=| ^A392123;

650 0 a| Harmonic functions.=| ^A44005;

650 7 a| Partial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations.2| msc;

650 7 a| Potential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length.2| msc;

650 7 a| Difference and functional equations -- Functional equations and inequalities -- Functional inequalities, including subadditivity, convexity, etc..2| msc;

650 7 a| Convex and discrete geometry -- General convexity -- Inequalities and extremum problems.2| msc;

650 7 a| Partial differential equations -- Elliptic equations and systems -- Variational methods for second-order elliptic equations.2| msc;

650 7 a| Convex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces).2| msc;

650 7 a| Partial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with $p$-Laplacian.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Gong, Jasun,d| 1981-?| UNAUTHORIZED;

700 1 a| Hineman, Jay,d| 1980-?| UNAUTHORIZED;

700 1 a| Lewis, John L.,d| 1943-=| ^A361705;

700 1 a| Vogel, Andrewq| (Andrew Lee)?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6852907;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6511865-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/14/2025x| EBOOKz| JERESOURCE;

The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity / Murat Akman, Jasun Gong, Jay Hineman, John Lewis, Andrew Vogel.

Author/creator	Akman, Murat, 1983-
Format	Electronic
Publication Info	Providence, RI : AMS, American Mathematical Society, 2022.
Description	vi, 115 pages ; 26 cm
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Minkowski geometry. Inequalities (Mathematics) Nonlinear theories. Elliptic functions. Harmonic functions.

Other author/creator	Gong, Jasun, 1981-
Other author/creator	Hineman, Jay, 1980-
Other author/creator	Lewis, John L., 1943-
Other author/creator	Vogel, Andrew (Andrew Lee)
Series	Memoirs of the American Mathematical Society, 0065-9266 ; Number 1348
Contents	Notation 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.
Abstract	"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"-- Provided by publisher.
General note	"Volume 275. January 2022."
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2022007631
ISBN	9781470450526 (paperback)
ISBN	(epub)

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The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity / Murat Akman, Jasun Gong, Jay Hineman, John Lewis, Andrew Vogel.

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