Interior Hessian estimates for Hessian quotient equations in dimension three
In this paper, we establish the interior Hessian estimates for $2$-convex solutions to $\frac{σ_2}{σ_1} (D^2 u) = ψ(x,u)$ in dimension three. In higher dimensions ($n \geq 4$), we prove the interior Hessian estimates for semi-convex solutions. We provide a new method to prove the doubling inequality for smooth solutions in dimensions three and four. In
Jiao, Heming, Sui, Zhenan
openaire +2 more sources
Classical Neumann problems for Hessian equations and Alexandrov-Fenchel inequalities
Last year, Xinan Ma and me gave a existence result about the Neumann problems for Hessian equations. In this talk, we proceed further to study classical Neumann problems for Hessian equations.
Qiu, Guohuan
core
Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
We initiate the study of $m$-subharmonic functions with respect to a semipositive $(1,1)$-form in Euclidean domains, providing a significant element in understanding geodesics within the context of complex Hessian equations.
Lu, Chinh H. +3 more
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Effects of Molecular Aggregation on Dynamic Third-Order Nonlinear Optical Responses: Oligo(thiophene-benzothiadiazole) as a Case Study. [PDF]
Ahmadzadeh K +5 more
europepmc +1 more source
VeloxChem: Large-Scale DFT Calculations of Geometric Derivatives up to Second Order for Simulation of IR Spectra. [PDF]
Andersen JH +5 more
europepmc +1 more source
Steering Langevin Dynamics toward Transition States Using Collective-Variable-Free Resampling. [PDF]
Ketter M, Madsen GKH.
europepmc +1 more source
Analytical Nuclear Gradients for State-Averaged Configuration Interaction Singles Variants: Application to Conical Intersections. [PDF]
Tsuchimochi T.
europepmc +1 more source
SCF Framework, HF Stability, and RPA Correlation for Jordan-Wigner-Transformed Spin Hamiltonians on Arbitrary Coupling Topologies. [PDF]
Tabrizi SG +3 more
europepmc +1 more source

