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Giuseppe Di Fazio's user avatar
Giuseppe Di Fazio's user avatar
Giuseppe Di Fazio's user avatar
Giuseppe Di Fazio
  • Member for 10 years, 8 months
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awarded
 Yearling
answered
Regularity of solution of $(-\Delta + w)f = 0$
answered
Higher integrability for Sobolev functions - part 2
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Weak solution of elliptic differential equation of divergence type
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General version of Weyl's lemma
Yes, for smooth coefficients your statement is true.
answered
General version of Weyl's lemma
awarded
 Caucus
awarded
 Constituent
awarded
 Yearling
comment
On the fundamental solution for elliptic PDE
I checked for the explicit expression of the Green function in the case of Laplace operator in the ball centered at the origin having radius R. I found the explicit expression at page 20 of Gilbarg-Trudinger. The number R is present so I believe the constant does depend on R.
answered
On the fundamental solution for elliptic PDE
awarded
 Autobiographer
answered
Proof of Littman-Stampacchia-Weinberger theorem on the fundamental solution for elliptic PDEs
answered
Applications of the Calderon-Zygmund theory to PDE's
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fractional laplacian on $\mathbb{R}.$
answered
Elliptic regularity in $L^1$
awarded
 Teacher
answered
Harnack Inequality
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Optimal $L_p$-estimate for elliptic operator
Could you give a reference of the paper in which the problem has been solved for the operator \Delta?
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Optimal $L_p$-estimate for elliptic operator
Iif you are still in trouble feel free to ask
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