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Volumn 17, Issue 2, 1997, Pages 159-166

Regularity of weak solutions to elliptic obstacle problems

Author keywords

Obstacle; Quasilinear; Regularity

Indexed keywords


EID: 0002326791     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0252-9602(17)30831-7     Document Type: Article
Times cited : (6)

References (10)
  • 1
    • 0041192689 scopus 로고
    • A regularity theory for a general class of quasilinear elliptic partial differential equations and obstacle problems
    • Choe H J. A regularity theory for a general class of quasilinear elliptic partial differential equations and obstacle problems. Arch. Rational Mech. & Anal., 1991,114: 383-394.
    • (1991) Arch. Rational Mech. & Anal. , vol.114 , pp. 383-394
    • Choe, H.J.1
  • 2
    • 0039598027 scopus 로고
    • On the obstacle problem for quasilinear elliptic equations of p Laplacian type
    • Choe H J, Lewis J. On the obstacle problem for quasilinear elliptic equations of p Laplacian type. SIAM J. Math. Anal., 1991,22: 623-638.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 623-638
    • Choe, H.J.1    Lewis, J.2
  • 3
    • 0001472514 scopus 로고
    • 1,α local regularity of weak solutions of degenerate elliptic equations
    • 1,α local regularity of weak solutions of degenerate elliptic equations. Nonlinear Anal. T.M.A., 1983,7: 827-850.
    • (1983) Nonlinear Anal. T.M.A. , vol.7 , pp. 827-850
    • Dibenedetto, E.1
  • 4
    • 0003283911 scopus 로고
    • Multiple integrals in the calculus of variations and nonlinear elliptic systems
    • Princeton Univ. Press, Princeton, NJ
    • Giaquinta M. Multiple integrals in the calculus of variations and nonlinear elliptic systems. In: Annals of Math. Studies. Vol. 105, Princeton Univ. Press, Princeton, NJ,1983.
    • (1983) Annals of Math. Studies , vol.105
    • Giaquinta, M.1
  • 5
    • 0040005350 scopus 로고
    • Remarks on the regularity of weak solutions to some variational inequalities
    • Giaquinta M. Remarks on the regularity of weak solutions to some variational inequalities. Math. Z., 1981,117: 15-31.
    • (1981) Math. Z. , vol.117 , pp. 15-31
    • Giaquinta, M.1
  • 6
    • 38249027835 scopus 로고
    • Regularity for the gradient of the solution to a nonlinear obstacle problem with degenerate ellipticity
    • Lindqvist P. Regularity for the gradient of the solution to a nonlinear obstacle problem with degenerate ellipticity. Nonlinear Anal. T. M.A., 1988, 12: 1245-1255.
    • (1988) Nonlinear Anal. T. M.A. , vol.12 , pp. 1245-1255
    • Lindqvist, P.1
  • 7
    • 38249012698 scopus 로고
    • Higher regularity of the solution to the p-Laplacian obstacle problem
    • Mu J. Higher regularity of the solution to the p-Laplacian obstacle problem. J.Diff.Equas., 1992,95: 370-384.
    • (1992) J.Diff.Equas. , vol.95 , pp. 370-384
    • Mu, J.1
  • 8
    • 0041192686 scopus 로고
    • Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations
    • Mu J, Ziemer W P. Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations. Comm. P.D.E., 1991,16: 821-843.
    • (1991) Comm. P.D.E. , vol.16 , pp. 821-843
    • Mu, J.1    Ziemer, W.P.2
  • 9
    • 33846445540 scopus 로고
    • Regularity for a more general class of quasilinear elliptic equations
    • Tolksdorf P. Regularity for a more general class of quasilinear elliptic equations, J. Diff. Equas., 1984,51: 126-150.
    • (1984) J. Diff. Equas. , vol.51 , pp. 126-150
    • Tolksdorf, P.1
  • 10
    • 58149322654 scopus 로고
    • Positive solutions of quasilinear elliptic obstacle problems with critical exponent
    • Yang Jianfu. Positive solutions of quasilinear elliptic obstacle problems with critical exponent. Nonlinear Anal. T.M.A., 1995,25: 1283-1306.
    • (1995) Nonlinear Anal. T.M.A. , vol.25 , pp. 1283-1306
    • Yang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.