Results 41 to 50 of about 564 (71)

The Interaction Between PDE and Graphs in Multiscale Modeling

, 2016
In this article an upscaled model is presented, for complex networks with highly clustered regions exchanging some abstract quantities in both, microscale and macroscale level.
Morales, Fernando A, Álvarez, Sebastián Naranjo   +1 more
core   +2 more sources

Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities

Advances in Nonlinear Analysis, 2015
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of modern physics. The existence of vector solitary-wave solutions (i.e.
Bhattarai Santosh
doaj   +1 more source

Existence of nontrivial solutions for the Klein-Gordon-Maxwell system with Berestycki-Lions conditions

Advances in Nonlinear Analysis, 2023
In this article, we study the following Klein-Gordon-Maxwell system: −Δu−(2ω+ϕ)ϕu=g(u),inR3,Δϕ=(ω+ϕ)u2,inR3,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}-\Delta u-\left(2\omega +\phi )\phi u=g\left(u),\hspace{1.0em}{\rm{in}}\hspace{1em}{{\mathbb{
Liu Xiao-Qi, Li Gui-Dong, Tang Chun-Lei
doaj   +1 more source

Stable anisotropic minimal hypersurfaces in $\mathbf {R}^{4}$

Forum of Mathematics, Pi, 2023
We show that a complete, two-sided, stable immersed anisotropic minimal hypersurface in $\mathbf {R}^4$ has intrinsic cubic volume growth, provided the parametric elliptic integral is $C^2$ -close to the area functional.
Otis Chodosh, Chao Li
doaj   +1 more source

A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities

Advanced Nonlinear Studies, 2023
This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi, Perera Kanishka, Sk Firoj   +2 more
doaj   +1 more source

Stability and critical dimension for Kirchhoff systems in closed manifolds

Advanced Nonlinear Studies
The Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
doaj   +1 more source

Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity

Demonstratio Mathematica
Our primary objective is to study the solvability of two kinds of fractional Kirchhoff double-phase problem involving logarithmic nonlinearity in RN{{\mathbb{R}}}^{N} via the variational approach.
Cheng Yu, Shang Suiming, Bai Zhanbing
doaj   +1 more source

Ground State Solutions for the Nonlinear Schrödinger–Bopp–Podolsky System with Critical Sobolev Exponent

Advanced Nonlinear Studies, 2020
In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev ...
Li Lin, Pucci Patrizia, Tang Xianhua
doaj   +1 more source

(p,Q) systems with critical singular exponential nonlinearities in the Heisenberg group

Open Mathematics, 2020
The paper deals with the existence of solutions for (p,Q)(p,Q) coupled elliptic systems in the Heisenberg group, with critical exponential growth at infinity and singular behavior at the origin.
Pucci Patrizia, Temperini Letizia
doaj   +1 more source

On a class of critical elliptic systems in ℝ4

Advances in Nonlinear Analysis, 2020
In the present paper, we consider the following classes of elliptic systems with Sobolev critical growth:
Zhao Xin, Zou Wenming
doaj   +1 more source