Equality in Wielandt’s eigenvalue inequality
Shmuel Friedland (2015)
Special Matrices
Similarity:
In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
Shmuel Friedland (2015)
Special Matrices
Similarity:
In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
Jan Bochenek (1980)
Annales Polonici Mathematici
Similarity:
J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
Similarity:
We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Jan Bochenek (1971)
Annales Polonici Mathematici
Similarity:
Julián Fernández Bonder, Julio D. Rossi (2002)
Publicacions Matemàtiques
Similarity:
In this paper we study the Sobolev trace embedding W(Ω) → L (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λ / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end...
Jacqueline Fleckinger, Jesús Hernández, François De Thélin (2003)
RACSAM
Similarity:
We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case. ...
Ivo Marek (1964)
Matematicko-fyzikálny časopis
Similarity: