Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales

@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}
}
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]. 

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