Results 21 to 30 of about 36,348 (314)
Time-dependent neutronics model of nodal neutronics program Ants [PDF]
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
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
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
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
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
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
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
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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
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Globally convergent algorithms for dc operating point analysis of nonlinear circuits [PDF]
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
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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
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