Results 71 to 80 of about 5,752 (197)
Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model [PDF]
The Cryosphere, 2016 We address the inverse problem of inferring the basal geothermal heat flux from surface velocity observations using a steady-state thermomechanically coupled nonlinear Stokes ice flow model.
H. Zhu +5 more
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Complexity, 2019 We consider a stochastic one-predator-two-prey harvesting model with time delays and Lévy jumps in this paper. Using the comparison theorem of stochastic differential equations and asymptotic approaches, sufficient conditions for persistence in mean and ...
Tingting Ma, Xinzhu Meng, Zhengbo Chang
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A Variational Approach to the Quaternionic Hessian Equation
The Journal of Geometric AnalysisIn this paper, we introduce finite energy classes of quaternionic $m$-plurisubharmonic functions of Cegrell type and define the quaternionic $m$-Hessian operator on some Cegrell's classes. We use the variational approach to solve the quaternionic $m$-Hessian equation when the right-hand side is a positive Radon measure.
Amal, Hichame +2 more
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Degenerate complex Hessian equations on compact Hermitian manifolds
, 2023 International audienceIn this note we provide uniform a priori estimates for solutions to degenerate complex Hessian equations on compact hermitian manifolds.
Guedj, Vincent, Lu, Chinh H.
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Bounded solutions of a k-Hessian equation in a ball
Journal of Differential Equations, 2016 We consider the problem \begin{equation}\label{Eq:Abstract} (1)\;\;\;\begin{cases} S_k(D^2u)= λ(1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\ u=0 &\mbox{on }\partial B, \end{cases} \end{equation} where $B$ denotes the unit ball in $\mathbb{R}^n$, $n>2k$ ($k\in \mathbb{N}$), $λ>0$ and $q > k$.
Sánchez, Justino, Vergara, Vicente
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A New Finite-Difference Method for Nonlinear Absolute Value Equations
MathematicsIn this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the absolute value equations is considered.
Peng Wang, Yujing Zhang, Detong Zhu
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A quantitative result for the $k$-Hessian equation
In this paper, we study a symmetrization that preserves the mixed volume of the sublevel sets of a convex function, under which, a Pólya-Szeg\H o type inequality holds. We refine this symmetrization to obtain a quantitative improvement of the Pólya-Szeg\H o inequality for the $k$-Hessian integral, and, with similar arguments, we show a quantitative ...
Masiello A. L., Salerno F.
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Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation [PDF]
Journal of Applied Mathematics, 2016 Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation onSn.
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Topics on Hessian type equations [PDF]
We study some selected topics on Hessian type equations. In the first chapter, our goal to generalize the quantitative version of the constant rank theorem by Sz\'{e}kelyhidi-Weinkove onto Hermitian manifolds and the complex coordinate space.
Tsai, Yi-Lin
core
On $L^\infty$ estimates for Monge-Amp\`ere and Hessian equations on nef classes
, 2021 The PDE approach developed earlier by the first three authors for $L^\infty$ estimates for fully non-linear equations on K\"ahler manifolds is shown to apply as well to Monge-Amp\`ere and Hessian equations on nef classes. In particular, one obtains a new
Guo, Bin +3 more
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