Results 81 to 90 of about 2,262 (104)

An inhomogeneous p-laplacian equation with a Hardy potential [PDF]

arXiv
In this work we study the existence and regularity of solutions to the following equation: $$-\Delta_p u + g(x) u = \frac{\lambda}{|x|^{p}} |u|^{p-2}u + f,$$ where $1< p < N$ and $f\in L^m$, where $m\ge 1$.
arxiv  

A linear condition determining local or global existence for nonlinear problems

Open Mathematics, 2013
Neuberger John, Neuberger John, Swift James   +2 more
doaj   +1 more source

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
doaj   +1 more source

Dichotomy Results for the Electromagnetic Schrödinger Equation [PDF]

arXiv
The electromagnetic nonlinear Schr\"odinger (emNLS) equation is a variant of the well-studied nonlinear Schr\"odinger equation. In this article, we consider questions of global existence or blow-up for emNLS in dimensions 3 and higher.
arxiv  

Global existence of weak solutions for a Willis-type model of elastodynamics [PDF]

arXiv
The global existence of weak solutions to a system related to the Willis model of elastodynamics is shown. The equations are reformulated as a linear hyperbolic system for which the existence of weak solutions is known.
arxiv  

On a generalized Stokes problem

Open Mathematics, 2011
Mácha Václav
doaj   +1 more source

Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions

Open Mathematics
In this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang, Huang Lehui, Cheng Lin, You Xiaoguang   +3 more
doaj   +1 more source

The fully parabolic multi-species chemotaxis system in $\mathbb{R}^{2}$

European Journal of Applied Mathematics
This article is devoted to the analysis of the parabolic–parabolic chemotaxis system with multi-components over $\mathbb{R}^2$ . The optimal small initial condition on the global existence of solutions for multi-species chemotaxis model in the ...
Ke Lin
doaj   +1 more source

Existence results for nonhomogeneous Choquard equation involving p-biharmonic operator and critical growth

Demonstratio Mathematica
In this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
doaj   +1 more source

Global well-posedness and uniform boundedness of 2D urban crime models with nonlinear advection enhancement

European Journal of Applied Mathematics
We study the global well-posedness and uniform boundedness of a two-dimensional reaction–advection–diffusion system with nonlinear advection. This strongly coupled system of nonlinear partial differential equations represents the continuum of a 2D ...
Wenjing Jiang, Qi Wang
doaj   +1 more source