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Volumn 14, Issue 3, 2002, Pages 359-384

A free boundary problem for ∞-Laplace equation

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EID: 0036556948     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260100107     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 0001883975 scopus 로고
    • A free boundary problem for the p-Laplacian: Uniqueness, convexity, and successive approximation of solutions
    • [AM]
    • [AM] A. Acker, R. Meyer, A free boundary problem for the p-Laplacian: uniqueness, convexity, and successive approximation of solutions. Electron. J. Differential Equations No. 08, 1995
    • (1995) Electron. J. Differential Equations , Issue.8
    • Acker, A.1    Meyer, R.2
  • 2
    • 33845404914 scopus 로고
    • Existence and regularity for a minimum problem with free boundary
    • [AC]
    • [AC] H. W. Alt, L. A. Caffarelli, Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325 (1981), 105-144
    • (1981) J. Reine Angew. Math. , vol.325 , pp. 105-144
    • Alt, H.W.1    Caffarelli, L.A.2
  • 3
    • 0001457134 scopus 로고
    • Extension of functions satisfying Lipschitz conditions
    • [Ar]
    • [Ar] G. Aronsson, Extension of functions satisfying Lipschitz conditions, Ark. Mat. 6 (1967), 551-561.
    • (1967) Ark. Mat. , vol.6 , pp. 551-561
    • Aronsson, G.1
  • 5
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • [CIL]
    • [CIL] M. G. Crandall, H. Ishii, P.-L. Lions, User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27(1) (1992), 1-67
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 6
    • 0001401834 scopus 로고
    • On quasilinear elliptic equations in domains with conical boundary points
    • [Do]
    • [Do] M. Dobrowolski, On quasilinear elliptic equations in domains with conical boundary points. J. Reine Angew. Math. 394 (1989), 186-195
    • (1989) J. Reine Angew. Math. , vol.394 , pp. 186-195
    • Dobrowolski, M.1
  • 7
    • 84968513647 scopus 로고
    • Regularity of the distance function
    • [Fo]
    • [Fo] R. L. Foote, Regularity of the distance function. Proc. Amer. Math. Soc. 92(1) (1984), 153-155
    • (1984) Proc. Amer. Math. Soc. , vol.92 , Issue.1 , pp. 153-155
    • Foote, R.L.1
  • 8
    • 85088005719 scopus 로고    scopus 로고
    • Existence of classical solutions to a free boundary problem for the p-Laplace operator: (I) the exterior convex case
    • [HS1]
    • [HS1] A. Henrot, H. Shahgholian, Existence of classical solutions to a free boundary problem for the p-Laplace operator: (I) the exterior convex case. (to appear in J. Reine Angew. Math.)
    • J. Reine Angew. Math.
    • Henrot, A.1    Shahgholian, H.2
  • 9
    • 85088714819 scopus 로고    scopus 로고
    • Existence of classical solutions to a free boundary problem for the p-Laplace operator: (II) the interior convex case
    • [HS2]
    • [HS2] A. Henrot, H. Shahgholian, Existence of classical solutions to a free boundary problem for the p-Laplace operator: (II) the interior convex case. (to appear in Indiana Univ. Math. J.)
    • Indiana Univ. Math. J.
    • Henrot, A.1    Shahgholian, H.2
  • 11
    • 0001179653 scopus 로고    scopus 로고
    • Behaviour in the limit, as p → ∞, of minimizers of functionals involving p-Dirichlet integrals
    • [Ja]
    • [Ja] U. Janfalk, Behaviour in the limit, as p → ∞, of minimizers of functionals involving p-Dirichlet integrals. SIAM J. Math. Anal. 27(2) (1996), 341-360
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.2 , pp. 341-360
    • Janfalk, U.1
  • 12
    • 21144476154 scopus 로고
    • Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
    • [Je]
    • [Je] R. Jensen, Uniqueness of Lipschitz extensions: minimizing the sup norm of the gradient. Arch. Rational Mech. Anal. 123(1) (1993), 51-74
    • (1993) Arch. Rational Mech. Anal. , vol.123 , Issue.1 , pp. 51-74
    • Jensen, R.1
  • 13
    • 0001568469 scopus 로고
    • xi u) = 0 with a singularity at a boundary point. (Russian) boundary value problems of mathematical physics, 8
    • [Kr]
    • xi u) = 0 with a singularity at a boundary point. (Russian) Boundary value problems of mathematical physics, 8. Trudy Mat. Inst. Steklov. 125 (1973), 127-139
    • (1973) Trudy Mat. Inst. Steklov. , vol.125 , pp. 127-139
    • Krol, I.N.1
  • 15
    • 0000628287 scopus 로고
    • Capacitary functions in convex rings
    • [Le]
    • [Le] J. L. Lewis, Capacitary functions in convex rings. Arch. Rational Mech. Anal. 66(3) (1977), 201-224
    • (1977) Arch. Rational Mech. Anal. , vol.66 , Issue.3 , pp. 201-224
    • Lewis, J.L.1
  • 16
    • 0000215269 scopus 로고
    • 1 nonlinearities. I. An approximating free boundary problem
    • [LS]
    • 1 nonlinearities. I. An approximating free boundary problem, Indiana Univ. Math. J. 39(4) (1990), 1081-1114
    • (1990) Indiana Univ. Math. J. , vol.39 , Issue.4 , pp. 1081-1114
    • Laurence, P.1    Stredulinsky, E.2
  • 17
    • 0000988355 scopus 로고
    • On gradient maximum principles for quasilinear elliptic equations
    • [PP]
    • [PP] L. E. Payne, G. A. Philippin, On gradient maximum principles for quasilinear elliptic equations. Nonlinear Anal. 23(3) (1994), 387-398
    • (1994) Nonlinear Anal. , vol.23 , Issue.3 , pp. 387-398
    • Payne, L.E.1    Philippin, G.A.2
  • 19
    • 0000968617 scopus 로고
    • Regularity for a class of non-linear elliptic systems
    • [Uh]
    • [Uh] K Uhlenbeck, Regularity for a class of non-linear elliptic systems. Acta Math. 138 (1977), 219-240
    • (1977) Acta Math. , vol.138 , pp. 219-240
    • Uhlenbeck, K.1
  • 20
    • 0000962102 scopus 로고
    • Symmetry and regularity for general regions having a solution to certain overdetermined boundary value problems
    • [Vo]
    • [Vo] A. L. Vogel, Symmetry and regularity for general regions having a solution to certain overdetermined boundary value problems. Atti Sem. Mat. Fis. Univ. Modena 40(2) (1992), 443-484
    • (1992) Atti Sem. Mat. Fis. Univ. Modena , vol.40 , Issue.2 , pp. 443-484
    • Vogel, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.