Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 8
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Original Articles

On Harnack inequality for degenerate nonlinear higher-order elliptic equations

Pages 971-985 | Accepted 29 Mar 2006, Published online: 04 Sep 2006

References

  • Nicolosi , F and Skrypnik , IV . 1996 . Nirenberg-Gagliardo interpolation inequality and regularity of solutions of nonlinear higher order equations . Topological Methods in Nonlinear Analysis , 7 ( 2 ) : 327 – 347 .
  • Skrypnik , IV . 1994 . Methods for analysis of nonlinear elliptic boundary value problems , AMS Providence .
  • Skrypnik , IV . 1978 . High-order quasilinear elliptic equations with continuous generalized solutions . Differentsialnye Uravneniya , 14 ( 6 ) : 1104 – 1119 .
  • Nicolosi , F and Skrypnik , IV . 2002 . On Harnack type theorems for nonlinear higher order elliptic equations . Nonlinear Analysis , 50 : 129 – 147 .
  • Serrin , J . 1964 . Local behavior of solutions of quasilinear equations . Acta Mathematica , 111 : 247 – 302 .
  • Giusti , E and Miranda , M . 1968 . Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni . Boll. UMI 1 , 4 : 219 – 226 .
  • Heinonen , J , Kilpelainen , T and Martio , O . 1993 . Nonlinear potential theory of degenerate elliptic equations , Oxford : Clarendon Press .
  • Böttcher , A and Karlovich , Y . 1997 . Carleson curves, Muckenhoupt weights and Toeplitz operators , Basel : Birkhäuser Verlag .
  • Chanillo , S and Wheeden , RL . 1985 . Weighted Poincaré and Sobolev inequalities and estimates for weighted Peano maximal function . American Journal of Mathematics , 107 : 1191 – 1226 .
  • Moser , J . 1961 . On Harnack's theorem for elliptic differential equations . Communications on Pure and Applied Mathematics , 14 : 577 – 591 .
  • D'Asero , S and Larin , DV . 2003 . On weighted estimates of solutions for nonlinear higher order elliptic problems . Applicable Analysis , 82 ( 1 ) : 55 – 74 .

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