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[null,"1.","Record Nr.",null,"UNINA9910960758603321"]
[null,null,"Autore",null,"Akman Murat"]
[null,null,"Titolo",null,"The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity"]
[null,null,"Pubbl/distr/stampa",null,"Providence : , : American Mathematical Society, , 2022"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"9781470470142"]
[{"$nulls":4},"1470470144"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (128 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; v.275"]
[null,null,"Classificazione",null,"35J6031B1539B6252A4035J2052A2035J92"]
[null,null,"Disciplina",null,"515/.3533"]
[{"$nulls":4},"515.3533"]
[null,null,"Soggetti",null,"Minkowski geometry"]
[{"$nulls":4},"Inequalities (Mathematics)"]
[{"$nulls":4},"Nonlinear theories"]
[{"$nulls":4},"Elliptic functions"]
[{"$nulls":4},"Harmonic functions"]
[{"$nulls":4},"Partial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations"]
[{"$nulls":4},"Potential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length"]
[{"$nulls":4},"Difference and functional equations -- Functional equations and inequalities -- Functional inequalities, including subadditivity, convexity, etc"]
[{"$nulls":4},"Convex and discrete geometry -- General convexity -- Inequalities and extremum problems"]
[{"$nulls":4},"Partial differential equations -- Elliptic equations and systems -- Variational methods for second-order elliptic equations"]
[{"$nulls":4},"Convex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces)"]
[{"$nulls":4},"Partial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with $p$-Laplacian"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 275. January 2022.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"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 "]
[{"$nulls":4},"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."]
[null,null,null,"Sommario/riassunto","\"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\"--"]