Results 31 to 40 of about 803 (73)

Generalised global supersolutions with mass control for systems with taxis

, 2019
The existence of generalised global supersolutions with a control upon the total mass is established for a wide family of parabolic-parabolic chemotaxis systems and general integrable initial data in any space dimension.
Zhigun, Anna
core   +1 more source

Existence of Multiple Solutions for Certain Quasilinear Elliptic Problems Under Flux Boundary Conditions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed, Taghi Ahmedatt, Yongqiang Fu   +2 more
wiley   +1 more source

Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions

, 2016
We study the global existence and uniqueness of weak solutions to kinetic Kolmogorov-Vicsek models that can be considered a non-local non-linear Fokker-Planck type equation describing the dynamics of individuals with orientational interactions.
Gamba, Irene M., Kang, Moon-Jin
core   +1 more source

Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques

Nonautonomous Dynamical Systems
The present article deals with the existence of weak solutions to a class of p(z)p\left(z)-Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while ...
Allalou Mouad, Raji Abderrahmane
doaj   +1 more source

Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations

Advances in Nonlinear Analysis, 2022
In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u),    x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
doaj   +1 more source

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

Advances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +1 more source

The structure of 𝓐-free measures revisited

Advances in Nonlinear Analysis, 2020
We refine a recent result on the structure of measures satisfying a linear partial differential equation 𝓐μ = σ, μ, σ are Radon measures, considering the measure μ(x) = g(x)dx + μus(x̃)(μs(x̄) + dx̄) where x = (x̃,x̄) ∈ ℝk × ℝd−k, μus is a uniformly ...
Mitrovic D., Vujadinović Dj.
doaj   +1 more source

Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations [PDF]

, 2017
In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding weak solution to the three-dimensional Navier-Stokes equations become smooth on either $[0,T_1]$ or $ [T_2 ...
Gutiérrez-Santacreu, Juan Vicente
core   +1 more source

Weak solutions to an asymptotic equation of the variational sine-Gordon equation

Demonstratio Mathematica
This paper is concerned with an asymptotic equation which models uni-directional and weakly nonlinear waves for the variational sine-Gordon equation describing the motion of long waves on a neutral dipole chain in the continuum limit.
Chen Jianjun, Tang Xiaowei, Hu Yanbo
doaj   +1 more source

Nonlinear elliptic boundary value problems with convection term and Hardy potential

Moroccan Journal of Pure and Applied Analysis, 2023
In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel, Bouajaja Abdelkader, Redwan Hicham   +2 more
doaj   +1 more source