q-analogue non-homogeneous wave equations are solved by a Duhamel solution strategy using constructions with q-analogue Fourier multipliers to compensate for the dependence of the analogue ...
We present pointwise gradient bounds for solutions to p-Laplacean type non-homogeneous equations employing non-linear Wolff type potentials, and then prove similar bounds, via suitable caloric ...
Non-homogeneous metric measure spaces provide a versatile framework for extending classical harmonic analysis to settings where the underlying measure does not satisfy the usual doubling property.