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Communications in Partial Differential Equations Volume 23, 1998 - Issue 5-6
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Original Articles

Existence of hölder continuous weak solutions for degenerate quasi-linear elliptic systems

Makoto Araki Ariake College of Technology, 836, Japan E-mail: [email protected]
Pages 831-846 | Published online: 23 Dec 2010

  • Araki , M. Holder continuous weak solutions of degenerate quasilinear. elliptic systems . Nonlinear Anal. T, M & A. , to appear
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  • Araki , M. , Ikerbe , N. and Mizutani , Y. 1994 . On the Hölder continuous weak solutions of the Dirichlet problem for degenerate quasilinear elliptic systems . Adv. Math. Sci. Appl. , 4 ( 1 ) : 105 – 122 .
  • Dibenedetto , E. 1993 . Degenerate Parabolic Equations , New-York : Springer-Verleg .
  • Gilberg , D. and Trudinger , N.S. 1983 . Elliptic Partial Dzfferential Equations of Second Order , Berlin : Springer Verlag .
  • Hayasida , K. and Yokoi , Y. 1986 . On the Hölder continuity at the bountiary of weak solutions of the Dirichlet problem for degenerate quasilinear tdliptic: equations . Math. Japonica , 31 ( 4 ) : 561 – 606 .
  • Ohara , Y. 1981 . On the non-negative solutions of the L)ir.ichlet problem for degenerate quasi-linear elliptic equations . Funkcialaj Ekmacioj , 24 : 103 – 111 .
  • Ladyzhenskaya , O.A. and Ural'tseva , N.N. 1968 . Linear and quasi-linear elliptic equations , New York : Academic Press .
  • Mizutani , Y. 1994 . On the Hölder continuous solutions of' the Dirichlet problem for degenerate quasi-1inear elliptic equations . Finkcialaj Ekuacioj , 37 : 65 – 79 .
  • 1995 . On the regularity of the solutions for degenerate elliptic: equations . Adv. Math. Sci. Appl. , 5 ( 1 )
  • Ohara , Y. and Ikebe , N. 1983 . On the Holder continuity of the solutions for degenerate elliptic equations . Fudcialaj Ekvacioj , 26 : 339 – 347 .
  • Serriu , J. 1969 . The problem of Dirichlet for quasi-linear differential equations with many independent variables . Philos. Tram. Roy. London , A 264 : 413 – 495 .
  • Trudinger , N.S. 1995 . “ Lectures on Nordiner Elliptic Eguations of Second Order ” . In Lectures in Mathematical Sciences , Tokyo : The University .
  • Ural'tseva , N.N. 1968 . Degenerate quasi-linear elliptic systems . Zap. Nauncn. Sem. Leningrad. Otdel. Mat. Inst. Steklov , 7 : 184 – 222 .

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