Continuous dependence of principal eigenvalues with respect to perturbations of the domain around its Dirichlet boundary

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 3, 2001, Pages 1797-1808

  Cano Casanova, S ^a,b   Lopez gomez J ^b  

^a UNIVERSIDAD PONTIFICIA COMILLAS   (Spain)

^b NONE

Author keywords

Continuous dependence; Mixed boundary conditions; Principal eigenvalues; Stability of domains; Variation of domains

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRATION; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

DIRICHLET BOUNDARY;

BOUNDARY VALUE PROBLEMS;

EID: 0035424299     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00311-X     Document Type: Conference Paper

References (13)

1. Dual semigroups and second order linear elliptic boundary value problems
2. Rate of eigenvalues on a dumbbell domain, simple eigenvalues case
3. Eigenvalue problems for nonsmoothly perturbed domains
4. Domain perturbation for elliptic equations subject to Robin boundary conditions
5. A nonlinear parabolic equation with varying domain
6. The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition
7. Perturbation formula of eigenvalues in a singularly perturbed domain
8. The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
9. Strong localized perturbations of eigenvalue problems
10. Summing logarithmic expansions for singularly perturbed eigenvalue problems