Results 21 to 30 of about 36,348 (314)

Time-dependent neutronics model of nodal neutronics program Ants [PDF]

open access: yes, 2023
Ants is a nodal neutronics program developed at VTT since 2017. Ants solution method for the nodal diffusion equation is based on the function expansion nodal method (FENM) and analytic function expansion nodal (AFEN) method.
Lauranto, Unna; id_orcid   +3 more
core   +1 more source

Nonlinear nonhomogeneous Neumann eigenvalue problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero.
Pasquale Candito   +2 more
doaj   +1 more source

Nodal Solutions of a Perturbed Elliptic Problem

open access: yes, 2008
Multiple nodal solutions are obtained for the elliptic problem -Δu = f(x, u) + εg (x, u) in Ω, u =0 on ∂Ω , where ε is a parameter, Ω is a smooth bounded domain in R^{N}, f ϵ C(overline{Ω} x R)$, g ϵ C(overline{Ω} x R). For a superlinear C^{1} function f which is odd in u and for any C^{1} function g, we prove that for any j ϵ N there exists ε _{j} > 0
Li, Yi, Liu, Z., Zhao, C.
openaire   +4 more sources

Nodal solutions for the Choquard equation

open access: yesJournal of Functional Analysis, 2016
We consider the general Choquard equations $$ -Δu + u = (I_α\ast |u|^p) |u|^{p - 2} u $$ where $I_α$ is a Riesz potential. We construct minimal action odd solutions for $p \in (\frac{N + α}{N}, \frac{N + α}{N - 2})$ and minimal action nodal solutions for $p \in (2,\frac{N + α}{N - 2})$.
GHIMENTI, MARCO GIPO   +1 more
openaire   +2 more sources

Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball

open access: yes, 2004
In [40], it was shown that the following singularly perturbed Dirichlet problem \ep^2 \Delta u - u+ |u|^{p-1} u=0, \ \mbox{in} \ \Om,\] \[ u=0 \ \mbox{on} \ \partial \Om has a nodal solution u_\ep which has the least energy among all nodal solutions.
Winter, M   +5 more
core   +1 more source

Localized nodal solutions for parameter-dependent quasilinear Schrodinger equations

open access: yesElectronic Journal of Differential Equations, 2021
In this article, we apply a new variational perturbation method to study the existence of localized nodal solutions for parameter-dependent semiclassical quasilinear Schrodinger equations, under a certain parametric conditions.
Rui He, Xiangqing Liu
doaj  

Existence of sign-changing solution with least energy for a class of Kirchhoff-type equation in $\mathbb{R}^N$

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
We consider the existence of least energy sign-changing (nodal) solution of Kirchhoff-type elliptic problems with general nonlinearity. Using a truncated technique and constrained minimization on the nodal Nehari manifold, we obtain that the Kirchhoff ...
Xianzhong Yao, Chunlai Mu
doaj   +1 more source

Ground state and nodal solutions for critical Kirchhoff–Schrödinger–Poisson systems with an asymptotically 3-linear growth nonlinearity

open access: yesBoundary Value Problems, 2020
In this paper, we consider the existence of a least energy nodal solution and a ground state solution, energy doubling property and asymptotic behavior of solutions of the following critical problem: { − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( x ) u + λ ...
Chungen Liu, Hua-Bo Zhang
doaj   +1 more source

Globally convergent algorithms for dc operating point analysis of nonlinear circuits [PDF]

open access: yes, 2003
An important objective in the analysis of an electronic circuit is to find its quiescent or DC operating point. This is the starting point for performing other types of circuit analysis.
Zwolinski, Mark   +3 more
core   +1 more source

Existence of nodal solutions to some nonlinear boundary value problems for ordinary differential equations of fourth order

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In this paper, we study the existence of nodal solutions of some nonlinear boundary value problems for ordinary differential equations of fourth order with a spectral parameter in the boundary condition.
Ziyatkhan Aliyev, Yagut Aliyeva
doaj   +1 more source

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