Monotonicity Properties of the First Eigenvalue of the Laplacian Operator on Ricci Solitonsdoi:85Xiang GaoSchool of Mathematical Sciences, Ocean University of China, Lane 238, Songling Road, Laoshan District, Qingdao City, Shandong Province, 266100, People's Republic of ChinaQiaofang Xing...
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....
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-...
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 ...
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...
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...
In the past few decades, many interesting properties of eigenvalues of some self-adjoint elliptic operators such as the usual Laplace operator (also called Laplace-Beltrami operator), the p-Laplace operator (also called p-Laplacian), the biharmonic operator and so on have been investigated in fixe...
In this paper we consider an analytic family of Riemannian structures on a compact smooth manifold M with boundary. We impose the Dirich-let condition to the η-Laplacian and show the existence of analytic curves of its eigenfunctions and eigenvalues. We derive Hadamard type variation formulas. ...
The perimeter constraint allows us to naturally generalize the problem to a setting involving more general admissible geometries made up of sets of finite perimeter with inner cracks, along with a suitable generalization of the Robin-Laplacian operator with properties which look very similar to those ...
We review some results about the first eigenvalue of the infinity Laplacian operator and its first eigenfunctions in a general norm context. Those results are obtained in collaboration with several authors: V. Ferone, P. Juutinen and B. Kawohl (see [BFK] , [BK1] , [BJK] and [BK2] )...