Results 31 to 40 of about 151 (130)

On a Neumann Problem with an Intrinsic Operator

Axioms
This paper investigates the existence and location of solutions for a Neumann problem driven by a (p,q) Laplacian operator and with a reaction term that depends not only on the solution and its gradient but also incorporates an intrinsic operator, which ...
Dumitru Motreanu, Angela Sciammetta
doaj   +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

Approximate Reachability for Feedback Linearizable Systems

Optimal Control Applications and Methods, EarlyView.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu, Chris Manzie, Peter M. Dower   +2 more
wiley   +1 more source

Existence and Nonexistence Results for Classes of Singular Elliptic Problem

Abstract and Applied Analysis, 2010
The singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants.
Peng Zhang, Jia-Feng Liao
doaj   +1 more source

Equilibrium Reward for Liquidity Providers in Automated Market Makers

Mathematical Finance, EarlyView.
ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha, Philippe Bergault, Leandro Sánchez‐Betancourt   +2 more
wiley   +1 more source

Existence and boundedness of solutions for anisotropic quasilinear elliptic equations with convection and unbounded coefficients

Boundary Value Problems
This paper investigates a class of anisotropic quasilinear elliptic equations involving convection terms and unbounded coefficients in a bounded domain.
Abdolrahman Razani, Sami Baraket
doaj   +1 more source

Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation ut−∑i=1NDiu2−pi|Diu|pi−2Diu=0,u⩾0.$$\begin{equation*} u_t- \sum \limits _{i=1}^N D_i{\left(u^{2-p_i}|D_i u|^{p_i-2} D_i u\right)}=0,\qquad u\geqslant 0.
S. Ciani, E. Henriques, M. O. Savchenko, I. I. Skrypnik   +3 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

Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot, Hongliang Li, David Manceau   +2 more
wiley   +1 more source

Study of a generalized logistic equation with nonlocal reaction term

Boundary Value Problems, 2018
In this paper, we consider the generalized logistic equation with nonlocal reaction term −Δu=u(λ+b∫Ωurdx−f(u))in Ω,u>0 in Ω,u=0 on ∂Ω. $$ -\Delta u=u \biggl(\lambda +b \int_{\Omega }u^{r}\,dx-f(u) \biggr)\quad \text{in } \Omega,\qquad u>0 \quad \text{ in
Jianhua Zhou, Ge Gao, Baoqiang Yan
doaj   +1 more source