Weak Solutions to the Complex m-Hessian Equation on Open Subsets of $${{\mathbb {C}}}^{n}$$
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DOI: 10.1007/s11785-019-00948-5
Abstract: In this paper, we prove the existence of weak solutions to the complex m-Hessian equations in the class \({\mathcal {D}}_{m}(\Omega )\) on an open subset \(\Omega \) of \({\mathbb {C}}^n\). In the end of the… read more here.
Keywords: solutions complex; weak solutions; hessian equation; equation open ... See more keywords
On the regularity of complex Hessian equation on m-hyperconvex domain
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DOI: 10.1080/17476933.2018.1551888
Abstract: ABSTRACT We consider the Dirichlet problem for the complex Hessian equation of order . First, we give a specific estimate on the modulus of continuity of the solution with a continuous right-hand side and a… read more here.
Keywords: complex hessian; equation hyperconvex; hessian equation; hyperconvex domain ... See more keywords
Solvability of the Neumann problem for complex hessian equations in balls
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DOI: 10.1080/17476933.2020.1722111
Abstract: In this paper, we prove the existence and uniqueness of the admissible solution to complex Hessian equations with Neumann boundary condition in balls in . read more here.
Keywords: problem complex; complex hessian; solvability neumann; neumann problem ... See more keywords