A characterization of the degenerate complex Hessian equations for functions with bounded $(p,m)$-energy

Per Åhag, Rafał Czyż

Type: Preprint

Publication Date: 2020-03-13

Citations: 2

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	A characterization of the degenerate complex Hessian equations for functions with bounded $(p,m)$-energy	2020	Per Åhag Rafał Czyż
+ PDF Chat	A characterization of the degenerate complex Hessian equations for functions with bounded (p,m)-energy	2022	Per Åhag Rafał Czyż
+	Complex $m$-Hessian Type Equations in Weighted Energy Classes of $m$-subharmonic Functions with Given Boundary Value	2024	Nguyen Van Phu Nguyen Quang Dieu
+	Complex Hessian-Type Equations in the Weighted m-Subharmonic Class	2023	Mohamed Zaway Jawhar Hbil
+	A variational approach to complex Hessian equations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2015	Chinh H. Lu
+ PDF Chat	Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations	2024	Per Åhag Rafał Czyż Chinh H. Lu Alexander Rashkovskii
+	Complex Hessian Operator and Lelong Number for Unbounded m-subharmonic Functions	2015	Dongrui Wan Wei Wang
+	On Cegrell's classes of $m$-subharmonic functions	2013	Lu Hoang Chinh
+	Liouville and Calabi-Yau type theorems for complex Hessian equations	2012	Sławomir Dinew Sławomir Kołodziej
+	Liouville and Calabi-Yau type theorems for complex Hessian equations	2012	Sławomir Dinew Sławomir Kołodziej
+ PDF Chat	Liouville and Calabi-Yau type theorems for complex Hessian equations	2017	Sławomir Dinew Sławomir Kołodziej
+	A variational Approach to complex Hessian equations in $\mathbb{C}^n$	2013	Lu Hoang Chinh
+ PDF Chat	Kiselman minimum principle and rooftop envelopes in complex Hessian equations	2024	Per Åhag Rafał Czyż Chinh H. Lu Alexander Rashkovskii
+ PDF Chat	Complex $m$-Hessian type equations in weighted energy classes of $m$-subharmonic functions with given boundary value	2024	Nguyen Van Phu Nguyen Quang Dieu
+	Some results on Complex $m-$subharmonic classes	2022	Jawher Hbil Mohamed Zaway
+ PDF Chat	Degenerate complex Hessian equations on compact Kahler manifolds	2015	Chinh H. Lu Dong Van Nguyen
+	The smoothing of $m$-subharmonic functions	2013	Szymon Pliś
+	The m-Hessian Operator on Some Weighted Energy Classes of Delta m-Subharmonic Functions	2020	Vũ Việt Hưng Hoang Nhat Quy
+ PDF Chat	A priori estimates for complex Hessian equations	2014	Sławomir Dinew Sławomir Kołodziej
+	Range of the Hessian operator on some weighted $m$−subharmonic classes	2024	Hbil Jawhar

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	On a Family of Quasimetric Spaces in Generalized Potential Theory	2022	Per Åhag Rafał Czyż
+	On the regularity of the complex Hessian equation	2021	Per Åhag Rafał Czyż

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	The general definition of the complex Monge-Ampère operator	2004	Urban Cegrell
+ PDF Chat	A new capacity for plurisubharmonic functions	1982	Eric Bedford B. A. Taylor
+ PDF Chat	Cegrell classes on compact Kähler manifolds	2007	Sławomir Dinew
+ PDF Chat	The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian	1985	Luis Caffarelli Louis Nirenberg Joel Spruck
+	Uniqueness in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">E</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>X</mml:mi><mml:mo>,</mml:mo><mml:mi>ω</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2009	Sławomir Dinew
+	Über eine bemerkenswerte Hermitesche Metrik	1933	Erich Kähler
+	The weighted Monge–Ampère energy of quasiplurisubharmonic functions	2007	Vincent Guedj Ahmed Zériahi
+ PDF Chat	The dirichlet problem for a complex Monge-Amp�re equation	1976	Eric Bedford B. A. Taylor
+	On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I	1978	Shing‐Tung Yau
+ PDF Chat	Weak solutions to the complex Hessian equation	2005	Zbigniew Błocki