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An Agmon Douglis-Nirenberg type result for some non linear equations
Giachetti, D.
Schianchi, R.
1999
Abstract
We consider local distributional solutions $u\,\epsilon\, W_{loc}^{1,r}\left(\Omega\right)$of
non linear elliptic equations of the type
\[
-divA\left(x,Du\right)=-div\, f\left(x\right)+g\left(x\right)
\]
and we prove that $u\,\epsilon\, W_{loc}^{2,r}\left(\Omega\right)$
when r is sufficiently close to 2 which is the exponent related to
the growth conditions of the operator (see assumptions (2) and (3)).
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (1999)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
D. Giachetti and R. Schianchi, "An Agmon Douglis-Nirenberg type result for some non linear equations", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (1999), pp. 143-152.
Languages
en
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