Kato's inequality when Δu is a measure;L'inégalité de Kato lorsque Δu est une mesure

Comptes Rendus Mathematique

Volumn 338, Issue 8, 2004, Pages 599-604

  Brezis, Haïm ^a,b   Ponce, Augusto C ^a,b  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842502035     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.12.032     Document Type: Article

References (8)

1. Ancona A. Une propriété d'invariance des ensembles absorbants par perturbation d'un opérateur elliptique Comm. Partial Differential Equations 4 1979 321-337
2. Boccardo L. Gallouët T. Orsina L. Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data Ann. Inst. H. Poincaré Anal. Non Linéaire 13 1996 539-551
3. t-Δu=g(u) revisited Adv. Differential Equations 1 1996 73-90
4. Brezis H. Ponce A.C. Remarks on the strong maximum principle Differential Integral Equations 16 2003 1-12
5. Brezis, H. Marcus, M. Ponce, A.C. Nonlinear elliptic equations with measures revisited, in preparation
6. Dupaigne, L. Ponce, A.C. Singularities of positive supersolutions in elliptic PDEs, Selecta Math. (N.S.), in press
7. Fukushima M. Sato K. Taniguchi S. On the closable part of pre-Dirichlet forms and the fine supports of underlying measures Osaka Math. J. 28 1991 517-535
8. Kato T. Schrödinger operators with singular potentials Israel J. Math. 13 1972 135-148