Radial solutions of a class of iterated partial differential equations
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
We consider the following problem: where Φ: Ω ⊂ → ℝ is an unknown function, Θ is an unknown constant and M, E are given parameters.
We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .