Results 1 to 10 of about 223 (114)

Existence of Positive Solutions for a Class of px,qx-Laplacian Elliptic Systems with Multiplication of Two Separate Functions

open access: yesComplexity, 2020
The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two ...
Youcef Bouizem   +2 more
doaj   +2 more sources

Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability

open access: yesProceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021
Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo   +2 more
wiley   +1 more source

On a system of multi-component Ginzburg-Landau vortices

open access: yesAdvances in Nonlinear Analysis, 2023
We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
doaj   +1 more source

General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping

open access: yesOpen Mathematics, 2021
A nonlinear viscoelastic wave equation with Balakrishnan-Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.
Choucha Abdelbaki   +2 more
doaj   +1 more source

Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System

open access: yesAdvanced Nonlinear Studies, 2021
We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
doaj   +1 more source

Reversed Stein–Weiss Inequalities with Poisson-Type Kernel and Qualitative Analysis of Extremal Functions

open access: yesAdvanced Nonlinear Studies, 2021
Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space.
Tao Chunxia
doaj   +1 more source

Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

open access: yesOpen Mathematics, 2023
The Lord Shulman swelling porous thermo-elastic soil system with the presence of a distributed delay term is studied in this work. We will establish the well-posedness of the system and the exponential stability of the system is derived.
Choucha Abdelbaki   +2 more
doaj   +1 more source

Asymptotic properties of critical points for subcritical Trudinger-Moser functional

open access: yesAdvanced Nonlinear Studies, 2023
On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
doaj   +1 more source

Dynamical analysis of a reaction–diffusion mosquito-borne model in a spatially heterogeneous environment

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
doaj   +1 more source

Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations

open access: yesNonautonomous Dynamical Systems, 2022
In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a
Elazzouzi Abdelhai   +2 more
doaj   +1 more source

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