Results 61 to 70 of about 153 (146)

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

Sub-supersolution method for a quasilinear elliptic problem involving the 1-laplacian operator and a gradient term

Journal of Functional Analysis, 2020
Let \(\Omega\) be a bounded Lipschitz domain of \(\mathbb{R}^N\). This paper is concerned with the existence of nonnegative solutions \(u\), vanishing on the boundary of \(\Omega\), for the nonlinear equation \[ -\mathrm{div}\Big(\frac{D u}{|D u|}\Big) + |D u| = a(x)u + h(x,u),\qquad x\in\Omega.
Figueiredo, Giovany M., Pimenta, Marcos T.O.   +1 more
openaire   +3 more sources

Fite-Wintner-Leighton-Type Oscillation Criteria for Second-Order Differential Equations with Nonlinear Damping

Abstract and Applied Analysis, 2013
Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
doaj   +1 more source

The free boundary for semilinear problems with highly oscillating singular terms

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract We investigate general semilinear (obstacle‐like) problems of the form Δu=f(u)$\Delta u = f(u)$, where f(u)$f(u)$ has a singularity/jump at {u=0}$\lbrace u=0\rbrace$ giving rise to a free boundary. Unlike many works on such equations where f$f$ is approximately homogeneous near {u=0}$\lbrace u = 0\rbrace$, we work under assumptions allowing ...
Mark Allen, Dennis Kriventsov, Henrik Shahgholian   +2 more
wiley   +1 more source

The sub-supersolution method for an evolutionary reaction-diffusion age-dependent problem

Differential and Integral Equations, 2005
In this work, we analyze a nonlinear population-dynamics model with age dependence and spatial diffusion, and where we are assuming the influence of a reaction term. Using a sub-supersolution method we derive existence and uniqueness results. We apply this method to study the existence and uniqueness of a positive solution of a generalized logistic and
Delgado, M., Molina-Becerra, M., Suárez, A.   +2 more
openaire   +2 more sources

Large solutions, metasolutions, and asymptotic behaviour of the regular positive solutions of sublinear parabolic problems

Electronic Journal of Differential Equations, 2000
In this paper we analyze the existence of regular and large positive solutions for a class of non-linear elliptic boundary value problems of logistic type in the presence of refuges.
Julian Lopez-Gomez
doaj  

The Exterior Problem of Parabolic Hessian Quotient Equations

Mathematics
In this paper, we investigate the exterior problem of parabolic Hessian quotient equations. By utilizing Perron’s method, we establish the existence of viscosity solutions that exhibit generalized asymptotic behavior at infinity.
Huawei Zhao, Limei Dai
doaj   +1 more source

Time‐insensitive nonlocal parabolic Harnack estimates

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We establish new Harnack estimates that defy the waiting‐time phenomenon for global solutions to nonlocal parabolic equations. Our technique allows us to consider general nonlocal operators with bounded measurable coefficients. Moreover, we show that a waiting‐time is required for the nonlocal parabolic Harnack inequality when local solutions ...
Naian Liao, Marvin Weidner
wiley   +1 more source

A nonlinear characterization of stochastic completeness of graphs

Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.
Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley   +1 more source

Existence and comparison results for variational-hemivariational inequalities

Journal of Inequalities and Applications, 2005
We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional.
Carl S
doaj