# what is the essence of the blowup technique and bubbling analysis in PDE or geometric analysis?

when we use the blowup technique and bubbling analysis? what are the essence and pespective? could you give some examples to explain them or some reference？ thank you

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-1 While in some sense I would actually like to see a really good answer to this, I feel I must discourage this question on the grounds that (from FAQ): "MathOverflow is not the appropriate place to ask somebody to write an expository article for you" and that this is a little bit along the lines of (from how to ask): "what's the deal with algebraic geometry?". So to continue quoting from these advice pages: "The great answer you're hoping for doesn't exist because there isn't a precise question". But you could have a look at arxiv.org/abs/math/0304396 –  Spencer Oct 14 '11 at 10:29
This question is indeed way too open ended. Also, looking at the asker's blog, the asker appears capable of providing more perspective and details and asking a more focused question. –  Deane Yang Oct 14 '11 at 13:53
In geometric analysis, I guess the first well-known blow-up argument was given in R. Schoen's solution to Yamabe problem. He used a Green function to blow up the metric near a point $x$ so that the punctured ball $B(x,r)\setminus \{x\}$ becomes an asymptotically flat end of a complete non-compact manifold. (The idea of Schoen comes from his study of "mass".)