Compactness of weighted Sobolev trace operators holds in outward cuspidal domains, enabling well-posed non-linear Steklov problems with non-trivial solutions.
Maz’ya, Sobolev spaces: with applications to ellipt ic partial differential equations, Springer: Berlin/Heidelberg, (2010)
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Compactness of weighted Sobolev trace operators and non-linear Steklov problems
Compactness of weighted Sobolev trace operators holds in outward cuspidal domains, enabling well-posed non-linear Steklov problems with non-trivial solutions.