Functions locally almost 1-harmonic

International Journal of Phytoremediation

Volumn 83, Issue 9, 2004, Pages 865-896

  Demengel, Françoise ^a  

^a UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

35JXX; 35K65; BV Functions; Cacciopoli sets; Functions locally almost 1 harmonic; Mathematical Subject Classifications 2000: 35J70

Indexed keywords

EID: 22944469212     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810310001621369     Document Type: Article

References (20)

1. Allegretto, W, and Huang, YX. 1999. Principal eigenvalues and Sturm comparison via Picone's identity. J. Differential Equations, 156 (2): 427–438.
2. Birindelli I, F., Demengel. Existence of solutions for semi-linear equations involving the p-Laplacien: the non coercive case Calculus of Variations (Accepted)
3. Carbone, L, and de Arcangelis, R. 2001. On the unique extension problem for functionals of the calculus of variations. RenD Mat. Acc. Lincei, 12 (9): 85–106.
4. Carriero, M, dal Maso, G, Leaci, A, and Pascali, E. 1988. Relaxation of the non-parametric plateau problem with an obstacle. J. Math. Pures et Appl, 67: 359–396.
5. Carriero, M, Leaci, A, and Pascali, E. On the semi-continuity and the relaxation for integrals with respect to the Lebesgue measure added to integrals with respect to a Radon measure. Ann. Mat. Pura Appl, 149 (4) 1–21.
6. Giorgi, De, Carriero, M, and Leaci, A. 1989. Existence Theorem for a minimum problem with a free discontinuity set. ARMA, 108: 195–218.
7. Demengel, F. 1989. Some compactness result for some spaces of functions with bounded derivatives. ARMA, 105 (2): 123–161.
8. Demengel, F. 1999. On Some Nonlinear Partial Differential Equations involving the “1”-Laplacian and Critical Sobolev Exponent. ESAIM, Control Optim. Calc. Var, 4: 667–686.
9. Demengel F, Some existence's results for non coercive “1-Laplacian” operator submitted to Non linear Analysis, et Prepublication de l'Université de Cergy-Pontoise
10. Demengel, F, and Temam, R. 1984. Convex functions of a measure and its applications. Indiana Journal of Maths, 33: 673–709.
11. 1 ). Non Linear Analysis, T.M.A, 19 (7): 625–641.
12. Ekeland I, Temam R, 1976 Convex Analysis and Variational Problems, North-Holland Publishing Company Amsterdam–Oxford American Elsevier Publishing Company, New York
13. Giusti E, 1984 Minimal Surfaces and Functions of Bounded Variation Notes de cours rédigés par G.H. Williams Department of Mathematics Australian National University Canberra 1977 et Birkhaüser
14. Giaquinta M, Modica G, Soucek J, 1997 Cartesian Currents in the Calculus of Variations I LNM 37 Springer-Verlag Berlin
15. Guedda, M, and Veron, L. 1989. Quasilinear equations involving critical Sobolev exponents. Nonlinear Analysis, Theory, Methods and Applications, 13: 879–902.
16. Hebey E, 1997 Introduction;àl’Analyse Non Linéaire sur les variétés, Diderot Editeurs, Arts et Sciences Paris
17. Moser, J. 1960. A new proof of DeGiorgi's theorem concerning the regularity problem for elliptic equations. Comm. Pure Appl. Math, 13: 457–468.
18. Strang G, Temam R, 1980 Functions with bounded variations A.R.M.A 493 527
19. Suquet, P. 1979. Sur les équations de la plasticité. Ann. Fac. Sciences Toulouse, 1: 77–87.
20. Ziemmer, 1989 Weakly Differentiable functions, Number 120 L.N.M. Springer-Verlag New York