Premium
An Eigenvalue Dirichlet Problem with Weight and L 1 Data
Author(s) -
Bocea Marian,
Redulescu Vicentiu
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19991980102
Subject(s) - mathematics , eigenvalues and eigenvectors , duality (order theory) , dirichlet distribution , dirichlet problem , combinatorics , mathematical analysis , pure mathematics , boundary value problem , physics , quantum mechanics
We give an existence result for a linear eigenvalue problem with weight and data in L 1 . Our approach is not variational and uses the notion of solution obtained by approximation. We also prove that this solution coincides with that obtained by G. Stampacchia with h duality arguments and we give a link with the renormalized solution in the sense formulated by P. –L. Lions and F. Murat.