The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity.

Format:

Book

Author/Creator:

Akman, Murat.

Contributor:

Gong, Jasun.

Hineman, Jay.

Series:

Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society ; v.275

Language:

English

Subjects (All):

Minkowski geometry.

Inequalities (Mathematics).

Nonlinear theories.

Elliptic functions.

Harmonic functions.

Physical Description:

1 online resource (128 pages)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 2022.

Summary:

"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.

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.

Notes:

Description based on publisher supplied metadata and other sources.

"Volume 275. January 2022."

Includes bibliographical references.

Other Format:

Print version: Akman, Murat The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity

ISBN:

9781470470142

1470470144

OCLC:

1292081275