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Singular limit of solutions of the p-Laplacian equation

โœ Scribed by Yi Qing; Zhao Junning


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
89 KB
Volume
43
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Singular limit of solutions of the very
โœ Kin Ming Hui ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 555 KB

We prove that the distribution solutions of the very fast diffusion equation โˆ‚u/โˆ‚t = โˆ†(u m /m), u > 0, in R n ร— (0, โˆž), u(x, 0) = u 0 (x) in R n , where m < 0, n โ‰ฅ 2, constructed in [P. Daskalopoulos, M.A. Del Pino, On nonlinear parabolic equations of very fast diffusion, Arch. Ration. Mech. Anal. 1

Multiple solutions to p-Laplacian equati
โœ Benjin Xuan ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

In this paper, we shall investigate the existence of multiple (positive) weak solutions for the Dirichlet problem of the p-Laplacian with singularity and cylindrical symmetry. The results depends heavily on parameters n; p; q; r; s and ยฟ 0. By the technical decomposition of the associated Nehari man