Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$-Reference-Cited by-同舟云学术

Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$

Published:2021-06-06 Issue:5 Volume:15 Page:
ISSN:1661-8254
Container-title:Complex Analysis and Operator Theory
language:en
Short-container-title:Complex Anal. Oper. Theory

Author:

Hai Le Mau,Van Quan Vu

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11785-021-01122-6.pdf

Reference21 articles.

1. Åhag, P., Cegrell, U., Czyż, R., Hiep, P.H.: Monge-Ampère measures on pluripolar sets. J. Math. Pures Appl. 92, 613–627 (2009)

2. Åhag, P., Czyż, R.: Kolodziej’s subsolution theorem for unbounded pseudoconvex domains. Iage. Acta Mat. 50, 7–23 (2012)

3. Bedford, E., Taylor, B.A.: The Dirichlet problem for an equation of complex Monge-Ampère type. In: Partial Differential Equations and Geometry (Park City, UT, 1977), Lecture Notes Pure Appl. Mat. vol. 48, pp. 39–50. Dekker, New York (1979)

4. Benelkourchi, S.: Weak solution to the complex Monge-Ampère equation on hyperconvex domains. Ann. Polon. Math. 112(3), 239–246 (2014)

5. Błocki, Z.: Weak solutions to the complex Hessian equation. Ann. Inst Fourier (Grenoble) 55, 1735–1756 (2005)

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