We give an overview on some results concerning the unique solvability of the Dirichlet problem in W^{2,p}, p>1 , for second-order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces. We also extend such results to the planar case.
W^{2,p}-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data
CASO, Loredana
;D'AMBROSIO, ROBERTA;TRANSIRICO, Maria
2015
Abstract
We give an overview on some results concerning the unique solvability of the Dirichlet problem in W^{2,p}, p>1 , for second-order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces. We also extend such results to the planar case.File in questo prodotto:
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