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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

2 votes

Reference Request: Calculus of Variations in Hilbert Space

The book of Struwe "Variational Methods", in the first chapter, has an abstract configuration in Banach Spaces. The so called variational lemmas. Then he gives some examples applied to partial differe …
Arturo Sanjuán's user avatar
2 votes
1 answer
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Proper sobolev spaces invariant under no-linearities

Let $f:H^s\to H^s$ at least continuous and not necesarily linear. Is there some kind of criterion or condition over $f$ that lets to ensure that $f({H^{s+k}})\subseteq H^{s+k}$?
Arturo Sanjuán's user avatar