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Nonlinear nonhomogeneous Neumann eigenvalue problems [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
Summary: 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. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal.
Candito, Pasquale   +2 more
doaj   +8 more sources

Nonlinear eigenvalue problems [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2014
15 pages, 8 ...
Fring, A., Bender, C., Komijani, J.
openaire   +5 more sources

Nonlinear Eigenvalue Problems with Specified Eigenvalues [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2014
This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem $T$, we are concerned with finding the minimal backward error such that $T$ has a set of prescribed eigenvalues with prescribed algebraic multiplicities.
Michael Karow   +2 more
openaire   +8 more sources

Comment on ‘Nonlinear eigenvalue problems’ [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2014
The asymptotic behaviour of solutions to y'(x)=cos[πxy(x)] was investigated by Bender et al (2014 J. Phys. A: Math. Theor. 47 235204). They found, for example, a relation between the initial value y(0)=a and the number of maxima that the solution exhibited.
Bender C M, Bender C M, Oliver S Kerr
openaire   +7 more sources

FEAST eigensolver for nonlinear eigenvalue problems [PDF]

open access: yesJournal of Computational Science, 2018
The linear FEAST algorithm is a method for solving linear eigenvalue problems. It uses complex contour integration to calculate the eigenvectors whose eigenvalues that are located inside some user-defined region in the complex plane. This makes it possible to parallelize the process of solving eigenvalue problems by simply dividing the complex plane ...
Gavin, Brendan   +2 more
openaire   +4 more sources

Nonlinear eigenvalue problems [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1975
The object of this paper is to prove two new results on the nature of the spectrum of a class of nonlinear elliptic eigenvalue problems. In the first case, sufficient conditions are given for which the spectrum is bounded and, in the second case, conditions are given for which the spectrum is open.
Fradkin, L. Ju., Wake, G. C.
openaire   +3 more sources

On minmax characterization in non-linear eigenvalue problems

open access: yesBruno Pini Mathematical Analysis Seminar, 2022
This is a note based on the paper [20] written in collaboration with N. Fusco and Y. Zhang. The main goal is to introduce minimax type variational characterization of non-linear eigenvalues of the p-Laplacian and other results related to shape and ...
Shirsho Mukherjee
doaj   +1 more source

Nonlinear Eigenvalue Problems for the Dirichlet (p,2)-Laplacian

open access: yesAxioms, 2022
We consider a nonlinear eigenvalue problem driven by the Dirichlet (p,2)-Laplacian. The parametric reaction is a Carathéodory function which exhibits (p−1)-sublinear growth as x→+∞ and as x→0+.
Yunru Bai   +2 more
doaj   +1 more source

Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given.
E. M. Adylina, L. V. Stepanova
doaj   +3 more sources

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