Results 51 to 60 of about 6,453 (213)
Supersolutions for a class of semilinear heat equations
, 2012 A semilinear heat equation $u_{t}=\Delta u+f(u)$ with nonnegative initial data in a subset of $L^{1}(\Omega)$ is considered under the assumption that $f$ is nonnegative and nondecreasing and $\Omega\subseteq \R^{n}$.
EM Stein +8 more
core +1 more source
Maximal and minimal weak solutions for elliptic problems with nonlinearity on the boundary
Electronic Research Archive, 2022 This paper deals with the existence of weak solutions for semilinear elliptic equation with nonlinearity on the boundary. We establish the existence of a maximal and a minimal weak solution between an ordered pair of sub- and supersolution for both ...
S. Bandyopadhyay +4 more
doaj +1 more source
The robust Orlicz risk with an application to the green photovoltaic power generation
Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
wiley +1 more source
Polar Coordinates for the 3/2 Stochastic Volatility Model
Mathematical Finance, Volume 35, Issue 3, Page 708-723, July 2025.ABSTRACT The 3/2 stochastic volatility model is a continuous positive process s with a correlated infinitesimal variance process ν$\nu $. The exact definition is provided in the Introduction immediately below. By inspecting the geometry associated with this model, we discover an explicit smooth map ψ$ \psi $ from (R+)2$({\mathbb{R}}^+)^2 $ to the ...
Paul Nekoranik
wiley +1 more source
Discontinuous gradient constraints and the infinity Laplacian [PDF]
, 2012 Motivated by tug-of-war games and asymptotic analysis of certain variational problems, we consider a gradient constraint problem involving the infinity Laplace operator.
D. Rossi +3 more
core
, 2014 We study the following boundary value problem with a concave-convex nonlinearity: \begin{equation*} \left\{ \begin{array}{r c l l} -\Delta_p u & = & \Lambda\,u^{q-1}+ u^{r-1} & \textrm{in }\Omega, \\ u & = & 0 & \textrm{on }\partial\Omega.
Birindelli I. +5 more
core +2 more sources
Pyramidal traveling fronts in the Belousov-Zhabotinskii reaction-diffusion systems in R^3
Electronic Journal of Differential Equations, 2020 In this article, we consider a diffusion system with the Belousov-Zhabotinskii (BZ for short) chemical reaction. The existence and stability of V-shaped traveling fronts for the BZ system in $\mathbb{R}^2$ had been proved in our previous papers [30,
Luyi Ma, Hong-Tao Niu, Zhi-Cheng Wang
doaj
Boundary Value Problems, 2018 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
Boundary Value Problems, 2020 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
Existence and regularity for integro‐differential free transmission problem
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1923-1937, July 2025.Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
wiley +1 more source