Results 51 to 60 of about 6,505 (230)
We establish the existence, nonexistence, and multiplicity of positive solutions to semilinear elliptic systems with integral boundary conditions when positive multiparameters vary on the boundary.
Eunkyung Ko, Eun Kyoung Lee
doaj +1 more source
The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right-hand side and variable parameters by using the sub-/supersolution method. Our study is a natural extension result of our previous one in (Boulaaras
Mohamed Haiour +3 more
doaj +1 more source
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
wiley +1 more source
Positiveness of Nonnegative Supersolutions of Elliptic Equations [PDF]
We prove the positiveness of the nonnegative supersolutions of equation (1), provided that the solutions are nontrivial whenever the structure condition (2) is fulfilled by A and B. Let G be a bounded domain in the n-dimensional Euclidean space E . Let p > 1, W (G), and W>(G) be the usual Sobolev spaces.
Liang Xiting, Yu Mingqi
openaire +2 more sources
On the Finite Time Convergence of Cyclic Coordinate Descent Methods [PDF]
Cyclic coordinate descent is a classic optimization method that has witnessed a resurgence of interest in machine learning. Reasons for this include its simplicity, speed and stability, as well as its competitive performance on $\ell_1$ regularized ...
Saha, Ankan, Tewari, Ambuj
core
ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley +1 more source
Optimal consumption problem in the Vasicek model [PDF]
We consider the problem of an optimal consumption strategy on the infinite time horizon based on the hyperbolic absolute risk aversion utility when the interest rate is an Ornstein-Uhlenbeck process.
Jakub Trybuła
doaj +1 more source
Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities [PDF]
We study fully nonlinear elliptic equations such as \[ F(D^2u) = u^p, \quad p>1, \] in $\R^n$ or in exterior domains, where $F$ is any uniformly elliptic, positively homogeneous operator.
Armstrong, Scott N., Sirakov, Boyan
core +4 more sources
Nonlinear elliptic-parabolic problems
We introduce a notion of viscosity solutions for a general class of elliptic-parabolic phase transition problems. These include the Richards equation, which is a classical model in filtration theory.
Kim, Inwon C., Pozar, Norbert
core +1 more source
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
wiley +1 more source

