Results 21 to 30 of about 31,181 (267)

Multi-bump type nodal solutions having a prescribed number of nodal domains: II

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 2005
This paper is a sequel to [Liu and Wang, preprint] in which we studied nodal property of multi-bump type sign-changing solutions constructed by Coti Zelati and Rabinowitz [Comm. Pure Appl. Math. 45 (1992) 1217]. In this paper we remove a technical condition that the nonlinearity is odd, which was used in [Comm. Pure Appl. Math.
Liu, Zhaoli, Wang, Zhi-Qiang
openaire   +3 more sources

Least energy nodal solutions for elliptic equations with indefinite nonlinearity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
We prove the existence of a nodal solution with two nodal domains for the Dirichlet problem with indefinite nonlinearity \begin{equation*} -\Delta_p u = \lambda |u|^{p-2} u + f(x) |u|^{\gamma-2} u \end{equation*} in a bounded domain $\Omega \subset ...
Vladimir Bobkov
doaj   +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

Jacobian-free Newton Krylov two-node coarse mesh finite difference based on nodal expansion method

open access: yesNuclear Engineering and Technology, 2022
A Jacobian-Free Newton Krylov Two-Nodal Coarse Mesh Finite Difference algorithm based on Nodal Expansion Method (NEM_TNCMFD_JFNK) is successfully developed and proposed to solve the three-dimensional (3D) and multi-group reactor physics models.
Xiafeng Zhou
doaj   +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

(p,2)-equations asymmetric at both zero and infinity

open access: yesAdvances in Nonlinear Analysis, 2018
We consider a (p,2){(p,2)}-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian with p>2{p>2}.
Papageorgiou Nikolaos S.   +2 more
doaj   +1 more source

Research of Focal Mechanism and Focal Depth of Qilian, Qinghai Ms5.2 Earthquake [PDF]

open access: yesE3S Web of Conferences, 2019
This paper selects the waveform records of 16 broadband digital seismic stations in the regional seismic network of Gansu province, Qinghai province, and Sichuan province involved inversion, use CAP focal mechanism solution method to calculate the Ms 5.2
Gao Yongguo, Yin Xinxin
doaj   +1 more source

Nodal curves and Riccati solutions of Painlevé equations

open access: yesKyoto Journal of Mathematics, 2004
In this paper, we study Riccati solutions of Painlev equations from a view point of geometry of Okamoto-Painlev pairs $(S,Y)$. After establishing the correspondence between (rational) nodal curves on $S-Y$ and Riccati solutions, we give the complete classification of the configurations of nodal curves on $S-Y$ for each Okamoto-Painlev pair $(S, Y)
Saito, Masa-Hiko, Terajima, Hitomi
openaire   +5 more sources

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