Boundary behavior and estimates for solutions of equations containing the p-Laplacian

Electronic Journal of Differential Equations

Volumn 1999, Issue , 1999, Pages 1-19

  Fleckinger, Jacqueline ^a   Harrell II, Evans M ^a,b   De Thélin, François ^a  

^a CNRS   (France)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Boundary estimate; Boundary perturbation; Hardy inequlity; p Laplacian; Principal eigenvalue

Indexed keywords

EID: 0005437835     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. [B1] J. Barta, Sur la vibration fondamentale d'une membrane, C.R. Acad. Sci. Paris 204(1937), 472-473.
2. p-theory of Schrödinger semigroups, Sibirsk. Mat. J. 31(1990), 16-26; English translation in Siberian. Math. J. 31(1991), 540-549.
3. p-theory of Schrödinger semigroups, Sibirsk. Mat. J. 31(1990), 16-26; English translation in Siberian. Math. J. 31(1991), 540-549.
4. [B3] T. Boggio, Sull'equazione del moto vibratorio delle membrane elastiche, Accad. Lincei, sci. fis., ser. 5a16(1907), 386-393.
5. [D1] E.B. Davies, Heat kernels and spectral theory, Cambridge, University Press, 1989.
6. [D2] E.B. Davies, Sharp boundary estimates for elliptic operators, preprint 1998.
7. [D3] P. Dŕabek, P. Krejčí, and P. Takáč, Nonlinear Differential Equations, Boca Raton, FL, CRC Press, to appear.
8. [D4] R.J. Duffin, Lower bounds for eigenvalues, Phys. Rev. 71(1947), 827-828.
9. [E1] D.E. Edmunds and W.D. Evans, Spectral theory and differential operators, Oxford, Clarendon Press, 1987.
10. [E2] W.D. Evans, D.J. Harris, and R. Kauffman, Boundary behaviour of Dirichlet eigenfunctions of second order elliptic equations, Math. Z. 204(1990), 85-115.
11. [H1] G.H. Hardy, J.E. Littlewood, and G. Pólya, Inequalities. Cambridge, University Press, 1959.
12. p-spaces, Diff. and Int. Eqns. 9(1996), 811-826.
13. n, Trans. Amer. Math. Soc. 350(1998), 3237-3255.
14. [M2] E. Mitidieri, A simple approach to Hardy's inequalities, preprint.
15. [P1] M.M.H. Pang, Approximation of ground state eigenvalues of eigenfunctions of Dirichlet Laplacians. Bull. London Math. Soc. 29(1997), 720-730.
16. [S1] B. Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. 7(1982), 447-526.