On the Dirichlet problem for a degenerate elliptic equation

Jan H. Chabrowski

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 1, page 141-155
  • ISSN: 0010-2628

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Chabrowski, Jan H.. "On the Dirichlet problem for a degenerate elliptic equation." Commentationes Mathematicae Universitatis Carolinae 028.1 (1987): 141-155. <http://eudml.org/doc/17521>.

@article{Chabrowski1987,
author = {Chabrowski, Jan H.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {degenerate elliptic equation; Dirichlet problem; existence; weighted Sobolev space},
language = {eng},
number = {1},
pages = {141-155},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the Dirichlet problem for a degenerate elliptic equation},
url = {http://eudml.org/doc/17521},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Chabrowski, Jan H.
TI - On the Dirichlet problem for a degenerate elliptic equation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 1
SP - 141
EP - 155
LA - eng
KW - degenerate elliptic equation; Dirichlet problem; existence; weighted Sobolev space
UR - http://eudml.org/doc/17521
ER -

References

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  1. J. CHABROWSKI B. THOMPSON, On traces of solutions of a semilinear partial differential equation of elliptic type, Ann. Polon. Math. 42 (1982), 45-71. (1982) MR0728069
  2. J. CHABROWSKI B. THOMPSON, On the boundary values of the solutions of linear elliptic equations, Bull. Austral. Math. Soc. 27(1983), 1-30. (1983) MR0696642
  3. D. GILBARG N. S. TRUDINGER, Elliptic partial differential equations of second order, Die Grundlehren der Matheroatischen Wissenschäften 223, Springer-Verlag, Berlin, Heidelberg, New York, 1977. (1977) MR0473443
  4. C. GOULAOUIC N. SHIMUKURA, Regularity hölderienne de certain problèmes aux limites elliptiques dégénérés, Ann. Sc. Norm. Sup. di Pisa, 10 (1), (1983), 79-108. (1983) MR0713111
  5. J. J. KOHN L. NIRENBERG, Degenerate elliptic parabolic equations of second order, Comm. Pure Appl. Math. 20 (1967), 797-872. (1967) MR0234118
  6. A. KUFNER O. JOHN S. FUČÍK, Function spaces, Noordhoff, Leyden, Academia, Prague, 1977. (1977) MR0482102
  7. Michel LANGLAIS, On the continuous solutions of a degenerate elliptic equation, Proc. London Math. Soc. (3) (50) (1985), 282-298. (1985) MR0772714
  8. R. D. MEYER, Some embedding theorems for generalized Sobolev spaces and applications to degenerate elliptic differential operators, J. Math, Mech. 16 (1967), 739-760. (1967) Zbl0149.09303MR0204843
  9. V. P. MIKHAILOV, Boundary values of the solutions of elliptic equations in domains with smooth boundary, Mat. Sb. 101 (143) (1976), 163-188. (1976) MR0425355
  10. O. A. OLEĬNIK E. V. RADKEVIČ, Second order equations with non-negative characteristic form, Am. Math. Soc. Providence, Plenum, New York 1976. (1976) 

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