Results 31 to 40 of about 2,221 (99)
Lieb-Thirring inequalities with improved constants
, 2007 Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allow us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi ...
Dolbeault, Jean +2 more
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Estimates for lower bounds of eigenvalues of the Klein-Gordon operator
, 2014 In this paper, we establish some inequalities for eigenvalues of the Klein-Gordon operator on a bounded domain in an n -dimensional Euclidean space. These inequalities give some sharper estimates for lower bounds of the sums of its first k eigenvalues ...
He-Jun Sun, Lingzhong Zeng
semanticscholar +1 more source
Estimates on the first two buckling eigenvalues on spherical domains
, 2009 In this paper, we study the first two eigenvalues of the buckling problem on spherical domains. We obtain an estimate on the second eigenvalue in terms of the first eigenvalue, which improves one recent result obtained by Wang-Xia in [7].Comment: This ...
Ashbaugh +8 more
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Universal inequalities for eigenvalues of quadratic polynomial operator of the Kohn Laplacian
, 2012 In this paper, we investigate the Dirichlet weighted eigenvalue problem of quadratic polynomial operator of the Kohn Laplacian on a bounded domain in the Heisenberg group Hn . We establish two inequalities for eigenvalues of this problem.
He-Jun Sun, Xuerong Qi
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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.
Fabricant, Alexander +2 more
core
, 2010 Many problems in engineering shape design involve eigenvalue optimizations. The relevant difficulty is that the eigenvalues are not continuously differentiable with respect to the density.
Zheng-Fang Zhang +2 more
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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
Spectral gap of segments of periodic waveguides
, 2006 We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of $L$ periodicity cells, equipped with periodic boundary conditions at the ``new ...
D. Borisov +6 more
core +2 more sources
An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
, 2020 In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco +1 more
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On an eighth order overdetermined elliptic boundary value problem
, 2010 We consider the overdetermined boundary value problem for the 4-harmonic operator, Δ4 = Δ(Δ3) , and show that if the solution of the problem exists, then the domain must be an open N -ball (N 2) .
S. Goyal, Vinod B. Goyal
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