A Generalization of the Fundamental Estimates for W M; P -solutions of Linear Systems with Constant Coeecients (the Case 1 < P < 2)
نویسنده
چکیده
The aim of the present paper is to extent the well known fundamental estimates (w.r.t. the L 2-norm) for weak solutions of a linear elliptic system with constant coef-cients: N X j=1 X jj;jj=m D (A ij D u j) = 0 in (i = 1; : : : ; N); (1) where kk 2 A ij i j c kk 2 8 2 IR nN ; ((IR n is open and bounded). Based on a generalization of the "Caccioppoli-inequality" we are able to establish the extended fundamental estimates w.r.t. the L p-norm of W m; p-solutions (1 < p < 2) of the linear system (1).
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