Results 41 to 50 of about 179 (164)
The continuous subsolution problem for complex Hessian equations
This is the final version accepted for publication in IUMJ.
Charabati, Mohamad, Zeriahi, Ahmed
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Limits of cubic differentials and buildings
Abstract In the Labourie–Loftin parameterization of the Hitchin component of surface group representations into SL(3,R)$\mathrm{SL}(3,\mathbb {R})$, we prove an asymptotic formula for holonomy along rays in terms of local invariants of the holomorphic differential defining that ray.
John Loftin +2 more
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Optimal dividends for a NatCat insurer in the presence of a climate tipping point
Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher +2 more
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Noncontinuous solutions to degenerate parabolic inequalities
We consider the initial value problem for degenerate parabolic equations. We prove theorems on differential inequalities and comparison theorems in unbounded domain.
Krzysztof A. Topolski
doaj
Let L be a divergence form operator with Lipschitz continuous coefficients in a domain Ω, and let u be a continuous weak solution of Lu=0 in {u≠0}.
Sandro Salsa, Fausto Ferrari
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Go Green or Go Digital? A Set‐Theoretic Perspective of Incumbents' Paths to Success
ABSTRACT In response to growing pressures for environmental sustainability and technological advancement, this study examines how firms can effectively integrate green and digital innovations within ambidextrous strategies to enhance performance. Using fuzzy‐set Qualitative Comparative Analysis (fsQCA) on a sample of 175 German manufacturing and ...
Bettina Mayr
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Schauder estimates for parabolic p$p$‐Laplace systems
Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein +4 more
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Subsolution theorem and the Dirichlet problem for the quaternionic Monge–Ampère equation [PDF]
In this paper, the author studies quaternionic Monge-Ampère equations and obtain the existence of the solutions to the Dirichlet problem for such equations in strictly pesudoconvex domains in quaternionic space. The stability and subsolution theorems are established for quaternionic Monge-Ampère equations.
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Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
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Non-negative and positive solutions for some indefinite sublinear elliptic problems
We study the existence of non-negative and positive solutions to the indefinite sublinear elliptic problem − Δ u = λ u + m ( x ) | u | α − 1 u $\ -\Delta u=\lambda u+m(x)\left \vert u\right \vert ^{\alpha -1}u$ in Ω, u = 0 $u=0$ on ∂Ω, where Ω is a ...
J. I. Díaz, J. Hernández, Y. Ilyasov
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