To simplify the analysis for explanatory purposes, the standard deviations (SDs) of observation errors are assumed to be 3 L=s for all nodal demands, and 0.3 m for all pipe head loss, respectively. Note that, in reality, the SDs of observation errors are related to the model granularity,...
S. Papageorgiou, "Constant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniques," Boundary Value Problems, vol. 2009, Article ID 820237, 32 pages, 2009.Agarwal, RP, et al.: Constant sign and nodal solutions for problems with the p...
内容提示: arXiv:2312.07918v1 [math.AP] 13 Dec 2023ON THE NODAL SET OF SOLUTIONS TO DIRAC EQUATIONSWILLIAM BORRELLI p1q & RUIJUN WU p2qAbstract. Motivated by various geometric problems, we study the nodal set of solutionsto Dirac equations on manifolds, of general form. We prove that such ...
Keywords: Hardy Term; Critical Exponent; Slightly Subcritical Problems; Nodal Solutions; Blow-Up Solutions; Multi-Bubble Solutions; Singular Perturbation Methods MSC 2010: 35B44; 35B33; 35J60 1 Introduction The paper is concerned with the semilinear singular problem (1.1) { - Δ u - μ ...
The numerical interface penalization is not needed for stability, hence a valid scheme can have σ=0, but having σ>0 usually enhances the accuracy of the solutions [8], [76]. 5.1. Stability analysis of the non–conforming fully discrete system using the IMEX integrator To begin the ...
Xie, Z.: Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \({\bf R}^N\) . Proc. Roy. Soc. Edinburgh Sect. A 128, 1069-1097 (1998) Zeidler, E.: Nonlinear functional analysis and its applications I. Fixed-point theorems. Springer, New York 1986 About ...
Yang [X. F. Yang, A new inverse nodal problem, Journal of Differential Equations 169 (2001), 633–653] considered a new inverse nodal problem for the
Abstract In this paper, we study the existence of least-energy nodal (sign-changing) solutions for a class of critical Schrödinger-Poisson system on the Heisenberg group given by {−ΔHu+μϕ|u|q−2u=λf(ξ,u)+|u|2u,inΩ,−ΔHϕ=|u|q,inΩ,u=ϕ=0,on∂Ω, ...
Struwe, Some existence results for superlinear elliptic boundary value problems involving critical exponents, J. Func. Anal. 69 (1986), 289–306. Google Scholar R. Filippucci & P. Pucci, Non-existence and other properties for solutions of quasilinear elliptic equations, to appear in Diff. ...
The Courant theorem provides an upper bound for the number of nodal domains of eigenfunctions of a wide class of Laplacian-type operators. In particular, it holds for generic eigenfunctions of a quantum graph. The theorem stipulates that, after ordering the eigenvalues as a non decreasing sequence...