Positive Eigenfunctions of a Schrödinger Operator [PDF]
, 2017 The paper considers the eigenvalue problem -Δu-αu+λg(x)u=0 withu∈H1(RN),u≠0 where ∞, λ ∈ and g(x)≡0 on Ω¯, g(x) ∈ (0,1] onRN \ Ω¯ and lim|x|→+∞g(x)=1 for some bounded open set Ω∈RN. Given α>0, does there exist a value of λ>0 for which the problem has
Stuart, C. A., Zhou, Huan-Song
core
Heat trace asymptotics with singular weight functions II
, 2010 We study the weighted heat trace asymptotics of an operator of Laplace type with mixed boundary conditions where the weight function exhibits radial blowup.
Berg, Michiel van den +2 more
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On the parity of the number of nodal domains for an eigenfunction of the Laplacian on tori
, 2015 In this note, we discuss a question posed by T. Hoffmann-Ostenhof concerning the parity of the number of nodal domains for a non-constant eigenfunction of the Laplacian on flat tori. We present two results.
Léna, Corentin
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Efficiency and localisation for the first Dirichlet eigenfunction
, 2019 Bounds are obtained for the efficiency or mean to peak ratio $E(\Omega)$ for the first Dirichlet eigenfunction (positive) for open, connected sets $\Omega$ with finite measure in Euclidean space $\R^m$. It is shown that (i) localisation implies vanishing
Berg, Michiel van den +3 more
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Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation. [PDF]
Springerplus, 2014 Islam MH, Khan K, Akbar MA, Salam MA.
europepmc +1 more source
Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(-ϕ(ξ))-expansion method. [PDF]
Springerplus, 2014 Roshid HO +3 more
europepmc +1 more source
Exact traveling wave solutions for system of nonlinear evolution equations. [PDF]
Springerplus, 2016 Khan K, Akbar MA, Arnous AH.
europepmc +1 more source
Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G'/G)-expansion method. [PDF]
Springerplus, 2013 Alam MN, Akbar MA.
europepmc +1 more source
On a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process. [PDF]
J Biol Dyn, 2014 Bai M, Xu S.
europepmc +1 more source