In this paper, it is shown that the first nonzero eigenvalue λ1 of the Laplacian operator on a compact immersed minimal hypersurface M in the unit sphere S n+1 satisfies one of the following (i)l1=n, (ii)l1 £ (1+k0)n, (iii)l1 ³ n+fracn2(nk0-(n-1)) (i)lambda _{1...
W. Wu, X. Zhou, Eigenvalue of fractional differential equations with p-Laplacian operator, Discrete Dyn. Nat. Soc. 2013 (2013) (Art. no. 137890).W. Wu and X. Zhou, "Eigenvalue of fractional differential equations with P-Laplacian operator," Discrete Dynamics in Nature and Society, vol....
Laplace-type operatorfirst eigenvaluecharacterization of hyperellipsoidsAccording to Tashiro–Obata, on a Riemannian manifold ( M , g ) with its Ricci curvature bounded positively from below, the first eigenvalue of the Laplacian on functions satisfies a simple inequality in terms of the scalar ...
A.-M. Matei, First eigenvalue for the p-Laplace operator[J], Nonlinear Anal. Ser. A: Theory Methods 39(8), 1051 (2000). Article MathSciNet Google Scholar H. Takeuchi, On the first eigenvalue of the p-Laplacian in a Riemannian manifold[J], Tokyo J. Math. 21, 135 (1998). Art...
Estimates for eigenvalues of Laplacian operator with any order Let D be a bounded domain in an n-dimensional Euclidean space R~n.Assume that 0λ_1≤λ_2≤…≤λ_k≤…are the eigenvalues of the Dirichlet Laplacian opera... WU Fa-En,LF Cao - 《中国科学:数学(英文版)》 被引量: 44发表...
Optimization of the principal eigenvalue of the pseudo p-Laplacian operator with Robin boundary conditions - Emamizadeh, Zivari-Rezapour () Citation Context ...imization, Existence, Uniqueness. *Corresponding author. 1 2 N. Amiri and M. Zivari-Rezapour functions. Rearrangement optimization ...
Eigenvalue problems for the p-Laplacian An Lê Nonlinear Analysis-theory Methods & Applications Mar 2006 Abstract We study nonlinear eigenvalue problems for the p -Laplace operator subject to different kinds of boundary conditions on a bounded domain. Using the Ljusternik–Schnirelman principle, we ...
In this paper, we are interested in studying the multiplicity, uniqueness, and nonex-istence of solutions for a class of singular elliptic eigenvalue problems for theDirichlet fractional(p,q)-Laplacian. The nonlinearity considered involves super-critical Sobolev growth. Our approach is variational to...
On the Computation of Dominant Eigenpairs of a Matrix Valued Linear Operator 11 -- 56:43 App Randomized Joint Diagonalization 14 -- 59:24 App Computational Graphs for Matrix Functions 10 -- 1:04:50 App A Not So Simple Matter of Software 20 -- 1:01:20 App 07 - Laplacian solvers ...
In this article, we prove a minimax characterisation of the second eigenvalue of the p-Laplacian operator on p-quasi open sets, using a construction based on minimizing movements. This leads also to an existence theorem for spectral functionals depending on the first two eigenvalues of the p-...