Nirav

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13 Questions

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3	Non Uniformly Elliptic Equations page 117 [G-T]
3	Confused about Proof of Thm 4.9 Gilbarg Trudinger
2	The definition of $p$ capacity of a set $A\subset\mathbb{R}^n$
2	Concerning the noncompactness of the map, $I: W^{1, 2}(\mathbb{R}^n)\rightarrow L^{2^{\ast}}(\mathbb{R}^n)$
2	Is this function harmonic? [G-T] page 121

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184 Reputation

+10	The definition of $p$ capacity of a set $A\subset\mathbb{R}^n$
+10	Concerning the noncompactness of the map, $I: W^{1, 2}(\mathbb{R}^n)\rightarrow L^{2^{\ast}}(\mathbb{R}^n)$
+5	Triangle inequality: $\vert\vert a+b\vert^q-\vert a\vert^q\vert\leq \varepsilon\vert a\vert^q+C(\varepsilon)\vert b\vert^q$
+5	Proof of Lemma 4.2 in [G-T] pg 55

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9 Answers

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4	$ABCD = I$ then $B^{-1} =?$
2	How to show product of two nonmeasurable sets is nonmeasurable?
1	Subsets of real space and subspaces
1	Prove that $W = \{(x,y,z,r) : r=5x+2y+7z\}$ is a subspace of $\mathbb{R}^4$
0	Extension Thoerem for the Sobolev Space $W^{1, \infty}(U)$

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21 Tags

5 linear-algebra × 3	1 geometry × 2
4 homework × 2	0 pde × 11
4 matrices	0 analysis × 10
2 real-analysis × 5	0 integration × 3
2 measure-theory × 3	0 functional-analysis × 3

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$Mathematics Stack Exchange$	Mathematics	184 rep	12
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