Results 31 to 40 of about 232 (187)

Standing waves of nonlinear Schrödinger systems with all attractive forces

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley   +1 more source

Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley   +1 more source

A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential

open access: yesElectronic Journal of Differential Equations, 2006
In this paper, we study the multiplicity of nontrivial nonnegative solutions for a semilinear elliptic equation involving nonlinear boundary condition and sign-changing potential.
Tsung-Fang Wu
doaj  

Multiple front and pulse solutions in spatially periodic systems

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

SEMILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED SYMMETRIC DOMAINS

open access: yesTaiwanese Journal of Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tzeng, Shyuh-yaur, Wang, Hwai-chiuan
openaire   +2 more sources

Nonradial solutions for the critical quasi‐linear Hénon equation involving p$p$‐Laplacian in RN$\mathbb {R}^N$

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai   +3 more
wiley   +1 more source

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

open access: yesElectronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

A full multigrid method for semilinear elliptic equation [PDF]

open access: yesApplications of Mathematics, 2017
16 pages, 6 figures.
Xie, Hehu, Xu, Fei
openaire   +2 more sources

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

open access: yesStudies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak   +3 more
wiley   +1 more source

Comparison results for semilinear elliptic equations via Picone-type identities

open access: yesElectronic Journal of Differential Equations, 2009
By means of a Picone's type identity, we prove uniqueness and oscillation of solutions to an elliptic semilinear equation with Dirichlet boundary conditions.
Tadie
doaj  

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