Results 11 to 20 of about 35 (34)

Strict Positivity for the Principal Eigenfunction of Elliptic Operators with Various Boundary Conditions

open access: yesAdvanced Nonlinear Studies, 2020
We consider elliptic operators with measurable coefficients and Robin boundary conditions on a bounded domain Ω⊂ℝd{\Omega\subset\mathbb{R}^{d}} and show that the first eigenfunction v satisfies v⁢(x)≥δ>0{v(x)\geq\delta>0} for all x∈Ω¯{x\in\overline ...
Arendt Wolfgang   +2 more
doaj   +1 more source

Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences

open access: yesAdvanced Nonlinear Studies, 2021
This paper deals with maximum principles depending on the domain and ABP estimates associated to the following Lane–Emden system involving fractional Laplace operators:
Leite Edir Junior Ferreira
doaj   +1 more source

Almost all Steiner triple systems are almost resolvable

open access: yesForum of Mathematics, Sigma, 2020
We show that for any n divisible by 3, almost all order-n Steiner triple systems admit a decomposition of almost all their triples into disjoint perfect matchings (that is, almost all Steiner triple systems are almost resolvable).
Asaf Ferber, Matthew Kwan
doaj   +1 more source

Multiplicity solutions of a class fractional Schrödinger equations

open access: yesOpen Mathematics, 2017
In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang   +3 more
doaj   +1 more source

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on
Sabatini Luca
doaj   +1 more source

Front instability in a condensed phase combustion model

open access: yesAdvances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis   +2 more
doaj   +1 more source

Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

open access: yesAdvances in Nonlinear Analysis, 2016
This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]).
Barbu Luminita, Enache Cristian
doaj   +1 more source

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
doaj   +1 more source

An eigenvalue estimate for self-shrinkers in a Ricci shrinker

open access: yesAdvanced Nonlinear Studies
In this paper, we study the drifted Laplacian Δf on a hypersurface M in a Ricci shrinker (M̄,g,f) $\left(\bar{M},g,f\right)$ . We prove that the spectrum of Δf is discrete for immersed hypersurfaces with bounded weighted mean curvature in a Ricci ...
Conrado Franciele, Zhou Detang
doaj   +1 more source

Characters and transfer maps via categorified traces

open access: yesForum of Mathematics, Sigma
We develop a theory of generalized characters of local systems in $\infty $ -categories, which extends classical character theory for group representations and, in particular, the induced character formula.
Shachar Carmeli   +3 more
doaj   +1 more source

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