Results 11 to 19 of about 19 (19)

A pathological example in nonlinear spectral theory

open access: yesAdvances in Nonlinear Analysis, 2017
We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
doaj   +1 more source

Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

open access: yesAdvanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
doaj   +1 more source

Symmetrization for Mixed Operators

open access: yesAnnales Mathematicae Silesianae
In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–
Bahrouni Sabri
doaj   +1 more source

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

open access: yesAdvances in Difference Equations, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas   +2 more
doaj  

Expansion of eigenvalues of the perturbed discrete bilaplacian. [PDF]

open access: yesMon Hefte Math, 2022
Kholmatov SY   +2 more
europepmc   +1 more source

Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators

open access: yesOpen Mathematics, 2012
Kanigowski Adam, Kryszewski Wojciech
doaj   +1 more source

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