메뉴 건너뛰기




Volumn 1997, Issue , 1997, Pages 1-12

Sub-elliptic boundary value problems for quasilinear elliptic operators

Author keywords

Degenerate oblique derivative problem; Quasilinear elliptic operator; Sub elliptic estimates

Indexed keywords


EID: 0002911001     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (28)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • [Ad] R. Adams, Sobolev Spaces, Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 2
    • 0000934232 scopus 로고
    • On some existence theorems for semi-linear elliptic equations
    • [A-C] H. Amann and M. Crandall, On some existence theorems for semi-linear elliptic equations, Indiana Univ. Math. J. 27 (1978), 779-790.
    • (1978) Indiana Univ. Math. J. , vol.27 , pp. 779-790
    • Amann, H.1    Crandall, M.2
  • 3
    • 0346224192 scopus 로고
    • A homogeneous problem for the slant derivative for harmonic functions in three-dimensional regions
    • [B] A. V. Bicadze, A homogeneous problem for the slant derivative for harmonic functions in three-dimensional regions, Soy. Math. Dokl. 4 (1963), 156-159.
    • (1963) Soy. Math. Dokl. , vol.4 , pp. 156-159
    • Bicadze, A.V.1
  • 4
    • 0346854725 scopus 로고
    • On subelliptic pseudodifferential operators
    • [E] Y. Egorov, On subelliptic pseudodifferential operators, Sov. Math. Dokl. 10 (1969), 1056-1059.
    • (1969) Sov. Math. Dokl. , vol.10 , pp. 1056-1059
    • Egorov, Y.1
  • 5
    • 0006805973 scopus 로고
    • The oblique derivative problem
    • [E-K] Y. Egorov and V. Kondrat'ev, The oblique derivative problem, Math. USSR Sbornik 7 (1969), 139-169.
    • (1969) Math. USSR Sbornik , vol.7 , pp. 139-169
    • Egorov, Y.1    Kondrat'ev, V.2
  • 6
    • 0041455847 scopus 로고
    • Theoremi di esistenza e di unicità per problemi al contorno relativi ad equazioni paraboliche lineari e quasi lineari in n variabili
    • [Ga] E. Gagliardo, Theoremi di esistenza e di unicità per problemi al contorno relativi ad equazioni paraboliche lineari e quasi lineari in n variabili, Ricerche Mat. 5 (1956), 239-257.
    • (1956) Ricerche Mat. , vol.5 , pp. 239-257
    • Gagliardo, E.1
  • 8
    • 84974004011 scopus 로고
    • Hölder regularity of subelliptic pseudodifferential operators
    • [Gu] P. Guan, Hölder regularity of subelliptic pseudodifferential operators, Duke Math. J. 60 (1990), 563-598.
    • (1990) Duke Math. J. , vol.60 , pp. 563-598
    • Guan, P.1
  • 9
    • 0002700597 scopus 로고
    • Regularity estimates for the oblique derivative problem
    • [Gu-S1] P. Guan and E. Sawyer, Regularity estimates for the oblique derivative problem, Ann. of Math. 137 (1993), 1-70.
    • (1993) Ann. of Math. , vol.137 , pp. 1-70
    • Guan, P.1    Sawyer, E.2
  • 10
    • 0039760421 scopus 로고
    • Regularity estimates for the oblique derivative problem on non-smooth domains I
    • [Gu-S2] P. Guan and E. Sawyer, Regularity estimates for the oblique derivative problem on non-smooth domains I, Chinese Ann. of Math. Ser. B 16 (1995), No. 3, 299-324; II, ibid. 17 (1996), No. 1, 1-34.
    • (1995) Chinese Ann. of Math. Ser. B , vol.16 , Issue.3 , pp. 299-324
    • Guan, P.1    Sawyer, E.2
  • 11
    • 21344445945 scopus 로고    scopus 로고
    • Regularity estimates for the oblique derivative problem on non-smooth domains II
    • [Gu-S2] P. Guan and E. Sawyer, Regularity estimates for the oblique derivative problem on non-smooth domains I, Chinese Ann. of Math. Ser. B 16 (1995), No. 3, 299-324; II, ibid. 17 (1996), No. 1, 1-34.
    • (1996) Chinese Ann. of Math. Ser. B , vol.17 , Issue.1 , pp. 1-34
  • 12
    • 0000569441 scopus 로고
    • Pseudodifferential operators and non-elliptic boundary value problems
    • [H] L. Hörmander, Pseudodifferential operators and non-elliptic boundary value problems, Ann. of Math. 83 (1966), 129-209.
    • (1966) Ann. of Math. , vol.83 , pp. 129-209
    • Hörmander, L.1
  • 13
    • 84967800148 scopus 로고
    • Nonlinear oblique boundary value problems for non-linear elliptic equations
    • [L-T] C. Lieberman and N. S. Trudinger, Nonlinear oblique boundary value problems for non-linear elliptic equations, Trans. Amer. Math. Soc. 295 (1986), 509-546.
    • (1986) Trans. Amer. Math. Soc. , vol.295 , pp. 509-546
    • Lieberman, C.1    Trudinger, N.S.2
  • 14
    • 0348115383 scopus 로고
    • On a degenerating problem with directional derivative
    • [M] V. Maz'ya, On a degenerating problem with directional derivative, Math. USSR Sbornik 16 (1972), 429-469.
    • (1972) Math. USSR Sbornik , vol.16 , pp. 429-469
    • Maz'ya, V.1
  • 15
    • 0348115385 scopus 로고
    • Coercive estimates and regularity of the solution of degenerate elliptic pseudodifferential equations
    • [M-Ph] V. Maz'ya and B. P. Paneyakh, Coercive estimates and regularity of the solution of degenerate elliptic pseudodifferential equations, Funct. Anal. Appl. 4 (1970), 299-311.
    • (1970) Funct. Anal. Appl. , vol.4 , pp. 299-311
    • Maz'ya, V.1    Paneyakh, B.P.2
  • 17
    • 3042514518 scopus 로고    scopus 로고
    • On a degenerate boundary value problem for second order quasilinear elliptic operators
    • VSP International Science Publishers, Zeist, The Netherlands
    • [Pa-P] D. K. Palagachev and P. Popivanov, On a degenerate boundary value problem for second order quasilinear elliptic operators, Proc. Sixth Int. Coll. Differ. Equations, Plovdiv'95, VSP International Science Publishers, Zeist, The Netherlands, 1996, 197-208.
    • (1996) Proc. Sixth Int. Coll. Differ. Equations, Plovdiv'95 , pp. 197-208
    • Palagachev, D.K.1    Popivanov, P.2
  • 19
    • 38249002356 scopus 로고
    • Boundary value problem with a tangential oblique derivative for second order quasilinear elliptic operators
    • [P-Pa] P. Popivanov and D. K. Palagachev, Boundary value problem with a tangential oblique derivative for second order quasilinear elliptic operators, Nonl. Anal. 21 (1993), 123-130.
    • (1993) Nonl. Anal. , vol.21 , pp. 123-130
    • Popivanov, P.1    Palagachev, D.K.2
  • 20
    • 0006829999 scopus 로고
    • Sur le problème avec une tangentielle dérivée oblique pour une classe des équations elliptiques quasilinéaires du deuxième ordre
    • [P-K1] P. Popivanov and N. Koutev, Sur le problème avec une tangentielle dérivée oblique pour une classe des équations elliptiques quasilinéaires du deuxième ordre, C. R. Acad. Sci. Paris Sér. I Math. 304 (1987), 38-385.
    • (1987) C. R. Acad. Sci. Paris Sér. I Math. , vol.304 , pp. 38-385
    • Popivanov, P.1    Koutev, N.2
  • 21
    • 0006866690 scopus 로고
    • The tangential oblique derivative problem for nonlinear elliptic equations
    • [P-K2] P. Popivanov and N. Kutev, The tangential oblique derivative problem for nonlinear elliptic equations, Commun. Partial Differ. Equations 14 (1989), 413-428.
    • (1989) Commun. Partial Differ. Equations , vol.14 , pp. 413-428
    • Popivanov, P.1    Kutev, N.2
  • 22
    • 84972956430 scopus 로고
    • The subelliptic oblique derivative problem
    • [Sm] H. F. Smith, The subelliptic oblique derivative problem, Commun. Partial Differ. Equations 15 (1990), 97-137.
    • (1990) Commun. Partial Differ. Equations , vol.15 , pp. 97-137
    • Smith, H.F.1
  • 23
    • 0000894890 scopus 로고
    • Über semilineare elliptische differentialgleichungen zweiter ordnung
    • [To] F. Tomi, Über semilineare elliptische Differentialgleichungen zweiter Ordnung, Math. Z. 111 (1969), 350-366.
    • (1969) Math. Z. , vol.111 , pp. 350-366
    • Tomi, F.1
  • 24
    • 0011267264 scopus 로고
    • A new method of proof of the subelliptic estimates
    • [Tr] P. Trèves, A new method of proof of the subelliptic estimates, Commun. Pure Appl. Math. 24 (1971), 71-115.
    • (1971) Commun. Pure Appl. Math. , vol.24 , pp. 71-115
    • Trèves, P.1
  • 25
    • 0006839936 scopus 로고
    • The oblique derivative problem I
    • [W1] B. Winzell, The oblique derivative problem I, Math. Am. 229 (1977), 267-278.
    • (1977) Math. Am. , vol.229 , pp. 267-278
    • Winzell, B.1
  • 26
    • 3042512754 scopus 로고
    • Subelliptic estimates for the oblique derivative problem
    • [W2] B. Winzell, Subelliptic estimates for the oblique derivative problem, Math. Scandinav. 43 (1978), 169-176.
    • (1978) Math. Scandinav. , vol.43 , pp. 169-176
    • Winzell, B.1
  • 27
    • 3042568160 scopus 로고
    • The oblique derivative problem II
    • [W3] B. Winzell, The oblique derivative problem II, Ark. Mat. 17 (1979), 107-122.
    • (1979) Ark. Mat. , vol.17 , pp. 107-122
    • Winzell, B.1
  • 28
    • 84963487899 scopus 로고
    • A boundary value problem with an oblique derivative
    • [W4] B. Winzell, A boundary value problem with an oblique derivative, Commun. Partial Differ. Equations 6 (1981), 305-328.
    • (1981) Commun. Partial Differ. Equations , vol.6 , pp. 305-328
    • Winzell, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.