Nonlinear Partial Differential Equations

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Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales (2004, background): “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 applicatio”
EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS (2002, background): “20 in [14] while the second proof offers a more easier and direct approach.”
A note on the strong maximum principle for elliptic differential inequalities (2000, background): “For the case of the Laplace operator and also for the m–Laplacian, the result is again due to Vazquez [8], see also [2].”