AbstractThis note studies the first non-trivial eigenvalue of second order self-adjoint elliptic operators in Rd. Some lower bounds of the eigenvalue are obtained by using a probabilistic approach and some geometric consideration. In one-dimensional case, an analytic proof is also presented. The resulting bounds can be sharp
Abstract: Throughout mathematical physics there are many problems dependent on, or consisting of det...
This thesis investigates the properties of the L₂-eigenvalues of singular, elliptic, second order op...
This thesis investigates the properties of the L₂-eigenvalues of singular, elliptic, second order op...
AbstractThis note studies the first non-trivial eigenvalue of second order self-adjoint elliptic ope...
The study of non-self-adjoint differential operators is a historical issue. Before and until now, mo...
In this paper lower bounds are established for certain eigenvalues. These inequalities lead to expli...
In this paper, we provide a method to produce guaranteed lower bounds for eigenvalues of 2m-th order...
The asymptotics and estimates are found for the eigenvalues of elliptic operators with various types...
The asymptotics and estimates are found for the eigenvalues of elliptic operators with various types...
SIGLEAvailable from British Library Document Supply Centre- DSC:7578.615(OUCL-NAG-R--93/2) / BLDSC -...
In this paper we introduce the notion of first eigenvalue for fully nonlinear operators which are no...
AbstractWe consider the semiclassical asymptotic behaviour of the number of eigenvalues smaller than...
Two generalizations of the notion of principal eigenvalue for elliptic operators in R-N are examined...
Two generalizations of the notion of principal eigenvalue for elliptic operators in RN are examined ...
The purpose of this short note is to give a variation on the classical Donsker-Varadhan inequality, ...
Abstract: Throughout mathematical physics there are many problems dependent on, or consisting of det...
This thesis investigates the properties of the L₂-eigenvalues of singular, elliptic, second order op...
This thesis investigates the properties of the L₂-eigenvalues of singular, elliptic, second order op...
AbstractThis note studies the first non-trivial eigenvalue of second order self-adjoint elliptic ope...
The study of non-self-adjoint differential operators is a historical issue. Before and until now, mo...
In this paper lower bounds are established for certain eigenvalues. These inequalities lead to expli...
In this paper, we provide a method to produce guaranteed lower bounds for eigenvalues of 2m-th order...
The asymptotics and estimates are found for the eigenvalues of elliptic operators with various types...
The asymptotics and estimates are found for the eigenvalues of elliptic operators with various types...
SIGLEAvailable from British Library Document Supply Centre- DSC:7578.615(OUCL-NAG-R--93/2) / BLDSC -...
In this paper we introduce the notion of first eigenvalue for fully nonlinear operators which are no...
AbstractWe consider the semiclassical asymptotic behaviour of the number of eigenvalues smaller than...
Two generalizations of the notion of principal eigenvalue for elliptic operators in R-N are examined...
Two generalizations of the notion of principal eigenvalue for elliptic operators in RN are examined ...
The purpose of this short note is to give a variation on the classical Donsker-Varadhan inequality, ...
Abstract: Throughout mathematical physics there are many problems dependent on, or consisting of det...
This thesis investigates the properties of the L₂-eigenvalues of singular, elliptic, second order op...
This thesis investigates the properties of the L₂-eigenvalues of singular, elliptic, second order op...
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