Elementary proofs of Embedding Theorems for Potential Spaces of Radial Functions
Pablo L. De Napoli, Irene Drelichman
TL;DR
This paper provides simple, elementary proofs for embedding theorems related to radial potential spaces and extends classical inequalities like Ni's and Strauss' in this context.
Contribution
It introduces straightforward proofs for weighted embedding theorems and generalizes key inequalities for radial potential spaces.
Findings
Elementary proofs of weighted embedding theorems
Generalizations of Ni's and Strauss' inequalities
Enhanced understanding of radial potential spaces
Abstract
We present elementary proofs of weighted embedding theorems for radial potential spaces and some generalizations of Ni's and Strauss' inequalities in this setting.
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Taxonomy
TopicsElasticity and Wave Propagation · Contact Mechanics and Variational Inequalities · Differential Equations and Boundary Problems