Asymptotic behaviour of solutions to p-Laplacian equation

Asymptotic Analysis

Volumn 35, Issue 1, 2003, Pages 27-40

  Cicalese, Marco ^a   Trombetti, Cristina ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

DIRICHLET PROBLEM; LIPSCHITZ BOUNDARY;

ASYMPTOTIC STABILITY;

EID: 0041888335     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. A. Alvino, Sulla diseguglianza di Sobolev in spazi di Lorentz, Boll. Un. Mat. Ital. 14 (1977), 3-11.
2. F. Andreu, C. Ballester, V. Caselles and J.M. Mazón, The Dirichlet problem for the total variation flow, J. Funct. Anal. 180(2) (2001), 347-403.
3. N, J. Differential Equations, 184(2) (2002), 475-525.
4. L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions, Studies in Advanced Mathematics, CRC Press, 1992.
5. E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Birkhaüser, Basel, 1984.
6. B. Kawohl, Rearrangements and Convexity of Level Sets in P.D.E., Lecture Notes in Math., Vol. 1150, Heidelberg, 1985.
7. B. Kawohl, On a family of torsional creep problems, J. Reine Angew. Math. 410 (1990), 1-22.
8. p-2∇u) = f with varying p, J. Math. Anal. Appl. 127 (1987), 93-102.
9. P. Marcellini and K. Miller, Elliptic versus parabolic regularization for the equation of prescribed mean curvature, J. Differential Equations 137 (1997), 1-53.
10. J. Mossino, Inegalités Isopérimétriques et Applications en Physique, Collection travaux en Cours, Hermann, Paris, 1984.
11. R. O'Neil, Integral transforms and tensor products on Orlicz spaces and L(p, q) spaces, J. Anal. Math. 21 (1968), 1-276.
12. G. Talent, Best constant in Sobolev inequality, Ann. Mat. Pura Appl. 120 (1979), 159-184.
13. G. Talent, Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces, Ann. Mat. Pura Appl. 110 (1976) 353-372.
14. W.P. Ziemer, Weakly Differentiable Functions, Springer, 1989.