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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
1
vote
Brezis-Nirenberg type problem
In a paper by Wang Xu-jia your problem is analyzed in a even more general way.
(FTR: I can't comment yet..)
2
votes
0
answers
227
views
Chain rule for Newton-derivative
I'm looking for properties of the Newton-derivative, defined as follows: A function $F \colon X \to Y$ is Newton differentiable at $x\in X$ if there exists $\varepsilon>0$ and a function $G\colon B_\v …