Publication Cover
Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 1
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Original Articles

On Weighted Estimates of Solutions for Nonlinear Higher Order Elliptic Problems

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Pages 55-74 | Published online: 09 Sep 2010

  • Böttcher , A. and Karlovich , Y. 1997 . Carleson Curves, Muckenhaupt Weights and Toeplitz Operators , Basel : Birkhäuser Verlag .
  • Chanillo , S. and Wheeden , R.L. 1985 . Weighted Poincaré and Sobolev inequalities and estimates for weighted Peano maximal function . Amer J. Math. , 107 : 1191 – 1226 .
  • Maso , G. DaI and Skrypnik , I.V. 1998 . Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains . Ann. Mat. Pura Appl. , 174 (4) : 13 – 72 .
  • Maso , G. DaI and Skrypnik , I.V. 1999 . Asymptotic behaviour of nonlinear elliptic higher order equations in perforated domains . J. Anal. Math. , 79 : 63 – 112 .
  • Heinonen , J. , Kilpelainen , T. and Martio , O. 1993 . Nonlinear Potential Theory of Degenerate Elliptic Equations , Oxford : Garendon Press .
  • Larin , D.V. 2000 . Homogenization of degenerate nonlinear Dirichlet problems in perforated domains of general structure . Nonlinear Boundary Problems , 10 : 117 – 122 .
  • Larin , D.V. and Skrypnik , I.V. 1999 . On weighted estimates of solutions of nonlinear elliptic problems . Math. Bohemica , 124 (2-3) : 173 – 184 .
  • Nicolosi , F. and Skrypnik , I.V. 1996 . Nirenberg-Gagliardo interpolation inequality and regularity of solutions of nonlinear higher order equations . Topol. Methods Nonlinear Anal. , 7 (2) : 327 – 347 .
  • Skrypnik , I.V. 1997 . Pointwise estimates for potential for higher order capacity . Ukrainian Math. J. , 49 (1) : 165 – 180 .
  • Skrypnik , I.V. 1994 . Methods for Analysis of Nonlinear Elliptic Boundary Value Problems. Nauka, Moscow 1990 , Providence : AMS . English translation in Translations of Mathematical Monographs, 139
  • Skrypnik , I.V. 1996 . Homogenization of nonlinear Dirichlet problems in perforated domains of general structure . Math. Sb. , 187 (8) : 125 – 157 .
  • Skrypnik , I.V. 1978 . High-order quasilinear elliptic equations with continuous generalized solutions . Differen. Urameniya , 14 (6) : 1104 – 1119 .

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