Existence and boundary behavior of solutions of Hessian equations with singular right-hand sides
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DOI: 10.1016/j.jfa.2019.02.018
Abstract: Abstract In this paper, we establish the existence of viscosity solutions of Hessian equations with singular right-hand sides and obtain the asymptotic boundary behavior of solutions. The asymptotic results generalize those for Poisson equations and… read more here.
Keywords: solutions hessian; hessian equations; hand sides; equations singular ... See more keywords
Interior estimates for solutions of the quadratic Hessian equations in dimension three
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DOI: 10.1016/j.jmaa.2020.124179
Abstract: Abstract We derive a priori C 2 , α interior estimates in dimension three for viscosity solutions of the quadratic Hessian equation σ 2 ( D 2 u ) = f ( x ) ,… read more here.
Keywords: interior estimates; dimension three; solutions quadratic; estimates solutions ... 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