Shakhmurov, Veli2024-05-252024-05-2520110252-95991860-626110.1007/s11401-011-0667-y2-s2.0-80052053586https://doi.org/10.1007/s11401-011-0667-yhttps://hdl.handle.net/20.500.14517/559The free boundary value problems for elliptic differential-operator equations are studied. Several conditions for the uniform maximal regularity with respect to boundary parameters and the Fredholmness in abstract L (p) -spaces are given. In application, the nonlocal free boundary problems for finite or infinite systems of elliptic and anisotropic type equations are studied.eninfo:eu-repo/semantics/openAccessFree boundary value problemsSobolev-Lions type spacesDifferential-operator equationsMaximal L-p regularityBanach spacesOperator-valued multipliersInterpolation of Banach spacesArticleQ4Q4325749770WOS:0002943459000070