Highly Influenced

7 Excerpts

@inproceedings{Anderson2004ExistenceOS, title={Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales}, author={Douglas R. Anderson and Richard Avery and Johnny Henderson}, year={2004} }

- Published 2004
DOI:10.1080/10236190410001731416

Kmx # B0ðxÞ # KMx for all x $ 0: Note, GðwÞ 1⁄4 jwj1=ð p21ÞsgnðwÞ is the inverse of g. We will refer to (g(u )) as a p-Laplacian operator. In the case of the time-scales R (the real numbers), or hZ (a constant graininess), the p-Laplacian arises in non-Newtonian fluids, in some reaction–diffusion problems, in flow through porous media, in nonlinear elasticity, glaceology and petroleum extraction; for a few references to such applications, see Refs. [3,7,8,15,20,22,32,33].