Results 31 to 40 of about 79 (79)

Blow up solutions for two-dimensional semilinear elliptic problem of Liouville type with nonlinear gradient terms

Demonstratio Mathematica
This work investigates the existence of singular limit solutions for nonlinear elliptic systems. Our main approach focuses on using the nonlinear domain decomposition method to establish a new Liouville-type result.
Baraket Sami, Ghorbal Anis Ben, Mahmoudi Fethi, Mtiri Foued   +3 more
doaj   +1 more source

Infinitely many new solutions for a nonlinear coupled Schrödinger system

Advances in Nonlinear Analysis
We revisit the following nonlinear Schrödinger system−ϵ2Δu+P(x)u=μ1u3+βuv2,inR3,−ϵ2Δv+Q(x)v=μ2v3+βu2v,inR3, $$\begin{cases}-{{\epsilon}}^{2}{\Delta}u+P\left(x\right)u={\mu }_{1}{u}^{3}+\beta u{v}^{2},\hfill & \text{in} {\mathbb{R}}^{3},\hfill ...
Wang Qingfang, Zhai Mingxue
doaj   +1 more source

Existence and non-degeneracy of the normalized spike solutions to the fractional Schrödinger equations

Advances in Nonlinear Analysis
The present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^
Guo Qing, Zhang Yuhang
doaj   +1 more source

Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type

Advances in Nonlinear Analysis, 2016
We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We use the nonlinear domain decomposition method.
Trabelsi Maryem, Trabelsi Nihed
doaj   +1 more source

Limiting profile of positive solutions to heterogeneous elliptic BVPs with nonlinear flux decaying to negative infinity on a portion of the boundary

Open Mathematics
This paper ascertains the limiting profile of the positive solutions of heterogeneous logistic elliptic boundary value problems under nonlinear mixed boundary conditions.
Cano-Casanova Santiago
doaj   +1 more source

Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition

Advances in Nonlinear Analysis, 2019
Let Ω ⊂ ℝ2 be a bounded domain with smooth boundary and b(x) > 0 a smooth function defined on ∂Ω. We study the following Robin boundary value problem:
Zhang Yibin, Shi Lei
doaj   +1 more source

Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
doaj   +1 more source

Persistence of a unique periodic wave train in convecting shallow water fluid

Demonstratio Mathematica
The coexistence of a traveling pulse and a periodic traveling wave was established in a convecting shallow water model when taking a nonlinear buoyancy term uuxu{u}_{x}.
Yang Sumin, Wen Qian
doaj   +1 more source

Exact difference approach on the Shishkin mesh for solving time fractional singularly perturbed parabolic PDE

Partial Differential Equations in Applied Mathematics
A novel approach has been introduced to address time-fractional singularly perturbed parabolic partial differential equations. This method utilizes the L1-Caputo finite difference technique to approximate the fractional derivative term and employs an ...
Mesfin Mekuria Woldaregay, Tibebu Worku Hunde   +1 more
doaj   +1 more source

Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters

Demonstratio Mathematica
This study is devoted to designing two hybrid computational algorithms to find approximate solutions for a class of singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters.
Ansari Khursheed J., Izadi Mohammad, Noeiaghdam Samad   +2 more
doaj   +1 more source