Results 51 to 60 of about 1,588 (189)

Existence of solutions for sublinear equations on exterior domains

Electronic Journal of Differential Equations, 2018
In this article we consider the radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius $R>0$, $B_{R}$, centered at the origin in ${\mathbb R}^N$ with $u=0$ on $\partial B_{R}$ and $\lim_{r \to \infty} u(r)=0$ where $N>2$, $
Joseph A. Iaia
doaj  

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa, Romulo Diaz Carlos, El‐Houari Hamza   +2 more
wiley   +1 more source

Existence and nonexistence of solutions for semilinear equations on exterior domains

Electronic Journal of Differential Equations, 2016
In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0 centered at the origin in ${\mathbb R}^{N}$ where f is odd with f0 on $(\beta, \delta)$, $f\equiv 0$ for $u> \delta$, and where the ...
Joseph A. Iaia
doaj  

Controllability of conformable differential systems

Nonlinear Analysis, 2020
This paper deals with complete controllability of systems governed by linear and semilinear conformable differential equations. By establishing conformable Gram criterion and rank criterion, we give sufficient and necessary conditions to examine that a ...
Xiaowen Wang, JinRong Wang, Michal Fečkan   +2 more
doaj   +1 more source

Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley   +1 more source

Existence and nonexistence of solutions for sublinear equations on exterior domains

Electronic Journal of Differential Equations, 2017
In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ${\mathbb R}^{N}$ with u=0 on $\partial B_{R}$ where f is odd with f0 on $(\beta, \infty)$, $f(u)\sim u^
Joseph A. Iaia
doaj  

Application of operator splitting to solve reaction-diffusion equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated.
T. Ladics
doaj   +1 more source

Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
wiley   +1 more source

Existence of infinitely many solutions for singular semilinear problems on exterior domains

Electronic Journal of Differential Equations, 2019
In this article we prove the existence of infinitely many radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0, $B_R$, centered at the origin in $\mathbb{R}^N$ with u=0 on $\partial B_R$ and $\lim_{r \to \infty} u ...
Joseph A. Iaia
doaj  

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source