A new concept of reduced measure for nonlinear elliptic equations;Un nouveau concept de mesure réduite pour des équations elliptiques non linéaires

Comptes Rendus Mathematique

Volumn 339, Issue 3, 2004, Pages 169-174

  Brezis, Haïm ^a,b   Marcus, Moshe ^c   Ponce, Augusto C ^a,c  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b RUTGERS UNIVERSITY   (United States)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4043072293     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.05.012     Document Type: Article

References (10)

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2. Ph. Bénilan H. Brezis Nonlinear problems related to the Thomas-Fermi equation J. Evol. Equations 3 2004 673-770
3. L. Boccardo T. Gallouët L. Orsina Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data Ann. Inst. H. Poincaré Anal. Non Linéaire 13 1996 539-551
4. H. Brezis Some variational problems of the Thomas-Fermi type in: R.W. Cottle F. Giannessi J.-L. Lions (Eds.) Variational Inequalities and Complementarity Problems Proc. Internat. School, Erice, 1978 1980 Wiley Chichester 53-73
5. H. Brezis Nonlinear elliptic equations involving measures in: C. Bardos A. Damlamian J.I. Diaz J. Hernandez (Eds.), Contributions to Nonlinear Partial Differential Equations, Madrid, 1981 1983 Pitman Boston, MA 82-89
6. H. Brezis A.C. Ponce Kato's inequality when Δ u is a measure C. R. Acad. Sci. Paris, Ser. I 338 2004 599-604
7. H. Brezis, M. Marcus, A.C. Ponce, Nonlinear elliptic equiations with measures revisted, in preparation
8. 1 J. Math. Soc. Japan 25 1973 565-590
9. L. Dupaigne, A.C. Ponce, Singularities of positive supersolutions in elliptic PDEs, Selecta Math. (N.S.), in press
10. 2 involving bounded measures Proc. Roy. Soc. Edinburgh Sect. A 95 1983 181-202