The Hadamard variational formula and the Minkowski problem for p-capacity

Andrea Colesanti, Kaj Nyström, Paolo Salani, Jie Xiao, Da Yang, G. Zhang

Type: Article

Publication Date: 2015-09-11

Citations: 76

DOI: https://doi.org/10.1016/j.aim.2015.06.022

View Publication

Locations

Advances in Mathematics - View
KTH Publication Database DiVA (KTH Royal Institute of Technology) - View - PDF

Similar Works

Action	Title	Year	Authors
+	The Brunn-Minkowski inequality for p -capacity of convex bodies	2003	Andrea Colesanti Paolo Salani
+ PDF Chat	The $L_p$ Minkowski problem for the electrostatic $\mathfrak{p}$-capacity	2020	Du Zou Ge Xiong
+	A minkowski problem for electrostatic capacity	1996	David Jerison
+	Lp Minkowski problem for electrostatic $\mathfrak{p}$-capacity	2017	Du Zou Ge Xiong
+	The L_p Minkowski problem for the electrostatic p-capacity for $p\ge n$	2021	Xinbao Lu Ge Xiong
+	The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity	2017	Murat Akman Jasun Gong Jay Hineman John E. Lewis Andrew Vogel
+ PDF Chat	The discrete logarithmic Minkowski problem for the electrostatic $\mathfrak{p}$-capacity	2021	Minhyun Kim Taehun Lee
+	The discrete logarithmic Minkowski problem for the electrostatic $\mathfrak{p}$-capacity	2021	Minhyun Kim Taehun Lee
+	The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity	2021	Murat Akman Jasun Gong Jay Hineman John L. Lewis Andrew Vogel
+	The Orlicz Electrostatic q-Capacity Minkowski Problem	2025	H. Y. Zeng Lijuan Liu Lu Yin Rigao He
+	The Orlicz Minkowski problem for the electrostatic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="fraktur">p</mml:mi></mml:math>-capacity	2022	Ge Xiong Jiawei Xiong
+	The <i>L</i><sub><i>p</i></sub> Minkowski problem for <i>q</i>-capacity	2020	Zhengmao Chen
+	Complementary isoperimetric inequalities for capacity, polarization, and virtual mass	1988	G. A. Philippin
+	The L electrostatic q-capacitary Minkowski problem for general measures	2020	Yibin Feng Yanping Zhou Binwu He
+ PDF Chat	The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity	2020	Wei Wang Juan Li Rigao He Lijuan Liu
+	On the Case of Equality in the Brunn–Minkowski Inequality for Capacity	1996	Luis Caffarelli David Jerison Élliott H. Lieb
+	On the Case of Equality in the Brunn-Minkowski Inequality for Capacity	2002	Luis Caffarelli David Jerison Élliott H. Lieb
+	Towards the Orlicz-Brunn-Minkowski theory forgeominimal surface areas and capacity	2017	Han Hong
+ PDF Chat	The p-capacitary Orlicz–Hadamard variational formula and Orlicz–Minkowski problems	2017	Han Hong Deping Ye Ning Zhang
+	The $$\phi $$-Brunn–Minkowski inequalities for general convex bodies	2021	Dandan Lai Hailin Jin

Works That Cite This (76)

Action	Title	Year	Authors
+	The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity	2021	Murat Akman Jasun Gong Jay Hineman John L. Lewis Andrew Vogel
+ PDF Chat	Geometric aspects of p-capacitary potentials	2018	Mattia Fogagnolo Lorenzo Mazzieri Andrea Pinamonti
+ PDF Chat	The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity	2020	Wei Wang Juan Li Rigao He Lijuan Liu
+ PDF Chat	Weighted Minkowski’s existence theorem and projection bodies	2023	Liudmyla Kryvonos Dylan Langharst
+	The discrete logarithmic Minkowski problem for the electrostatic $\mathfrak{p}$-capacity	2021	Minhyun Kim Taehun Lee
+	On the Orlicz Minkowski problem for logarithmic capacity	2022	Zejun Hu Hai Li
+	A Gauss Curvature Flow to the Orlicz–Minkowski Problem for Torsional Rigidity	2022	Jinrong Hu Jiaqian Liu Di Ma
+	On the Minkowski problem for p-harmonic measures	2023	Murat Akman Shirsho Mukherjee
+	On the Minkowski problem for p-harmonic measures	2024	Murat Akman Shirsho Mukherjee
+ PDF Chat	A maximum problem of S.-T. Yau for variational <i>p</i>-capacity	2017	Jie Xiao

Works Cited by This (91)

Action	Title	Year	Authors
+	The affine Sobolev–Zhang inequality on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>B</mml:mi><mml:mi>V</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math>	2012	Tuo Wang
+	Elliptic Partial Differential Equations of Second Order	1997	Piero Bassanini Alan R. Elcrat
+	REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS	2008	John L. Lewis Kaj Nyström
+ PDF Chat	Preassigning curvature of polyhedra homeomorphic to the two-sphere	1974	David A. Singer
+ PDF Chat	On the $L_{p}$-Minkowski problem	2003	Erwin Lutwak Deane Yang Gaoyong Zhang
+ PDF Chat	On the regularity of solutions to a generalization of the Minkowski problem	1995	Erwin Lutwak Vladimir Oliker
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио
+	Eigenfunctions and Harmonic Functions in Convex and Concave Domains	1995	David Jerison
+ PDF Chat	Sharp Affine LP Sobolev Inequalities	2002	Erwin Lutwak Deane Yang Gaoyong Zhang
+ PDF Chat	The affine Sobolev inequality	1999	Gaoyong Zhang