A Krein space approach to elliptic eigenvalue problems with indefinite weights

zbMath0815.47044MaRDI QIDQ1328958

Branko Ćurgus, Branko Najman

Publication date: 25 June 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemKrein spacecritical pointregularity conditionsunbounded domainsspectral problemslocally integrable functioneigenvalue problem with indefinite weightsKrein-Langer theory of definitizable operatorssymmetric elliptic operator

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Eigenvalue problems for linear operators (47A75) Second-order elliptic equations (35J15) Linear operators on spaces with an indefinite metric (47B50)

Related Items (14)

Sturm--Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions ⋮ The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ Indefinite Sturm-Liouville operators in polar form ⋮ The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions ⋮ Differential operators symmetric with respect to an indefinite metric ⋮ Indefinite elliptic spectral problems ⋮ Preservation of the range under perturbations of an operator ⋮ Perturbation of eigenvalues of the Klein-Gordon operators ⋮ Characterizations of monotone \(\mathcal O\)-regularly varying functions by means of indefinite eigenvalue problems and HELP type inequalities ⋮ Conditional reducibility of certain unbounded nonnegative Hamiltonian operator functions ⋮ On the negative squares of indefinite Sturm--Liouville operators ⋮ Abstract Kinetic Equations with Positive Collision Operators ⋮ Non-semibounded sesquilinear forms and left-indefinite Sturm-Liouville problems

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