Results 21 to 30 of about 75 (69)

The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form [PDF]

, 2007
2000 Mathematics Subject Classification: 35J70, 35P15.The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied.
Rangelov, Tsviatko, Fabricant, Alexander, Kutev, Nikolai   +2 more
core  

Nonlinear Obata type equation on Finsler manifolds without boundary

Open Mathematics
We show that if there is a nonconstant function f ∈ C 1,α (M) satisfying the Obata equation on a Finsler n-manifold (M, F), then (M, F) is isometric to a Finsler n-sphere.
Wang Huarong
doaj   +1 more source

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

Advances 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

The Stekloff Problem for Rotationally Invariant Metrics on the Ball [PDF]

, 2013
. Let (Br, g) be a ball of radius r > 0 in R n (n ≥ 2) endowed with a rotationally invariant metric ds 2 + f 2 (s)dw 2 , where dw 2 represents the standard metric on S n−1 , the (n−1)-dimensional unit sphere.
El Problema De Stekloff, Montaño Carreño, Oscar Andrés   +2 more
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An eigenvalue estimate for self-shrinkers in a Ricci shrinker

Advanced 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

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

Analele 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

Characters and transfer maps via categorified traces

Forum 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, Bastiaan Cnossen, Maxime Ramzi, Lior Yanovski   +3 more
doaj   +1 more source

Bounds for the sum of the first k-eigenvalues of Dirichlet problem with logarithmic order of Klein-Gordon operators

Advances in Nonlinear Analysis
We provide bounds for the sequence of eigenvalues {λi(Ω)}i{\left\{{\lambda }_{i}\left(\Omega )\right\}}_{i} of the Dirichlet problem (I−Δ)lnu=λuinΩ,u=0inRN\Ω,{\left(I-\Delta )}^{\mathrm{ln}}u=\lambda u\hspace{1em}{\rm{in}}\hspace{0.33em}\Omega ,\hspace{1.
Chen Huyuan, Cheng Li
doaj   +1 more source

Trapped modes in a waveguide with a thick obstacle [PDF]

, 2004
The problem of finding necessary and sufficient condi-tions for the existence of trapped modes in waveguides has been known since 1943. [10]. The problem is the following: consider an infinite strip M in xs211D2(or an infinite cylinder with the smooth ...
Parnovski, L, Hawkins, H
core  

Reilly type inequalities for eigenvalues of the buckling problem on compact Riemannian manifolds

Demonstratio Mathematica
In this paper, we firstly study the two types of buckling problem of the biharmonic operator and get some Reilly type lower bound estimates for the first nonzero eigenvalue of these eigenvalue problems on compact Riemannian manifolds with boundary ...
Li Yanli, Du Feng, Xia Changyu
doaj   +1 more source