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Volumn 45, Issue 1, 1996, Pages 15-36

Critical sets of smooth solutions to elliptic equations in dimension 3

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EID: 0009124466     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1996.45.1957     Document Type: Article
Times cited : (21)

References (27)
  • 2
    • 0001666009 scopus 로고
    • Singular solutions and the determination of conductivity by boundary measurements
    • G. ALESSANDRINI, Singular solutions and the determination of conductivity by boundary measurements, J. Differential Equations 84 (1990), 252-272.
    • (1990) J. Differential Equations , vol.84 , pp. 252-272
    • Alessandrini, G.1
  • 3
    • 0003649603 scopus 로고
    • Universitext, Springer Verlag, Berlin
    • M. BERGER, Geometry II, Universitext, Springer Verlag, Berlin, 1987.
    • (1987) Geometry II
    • Berger, M.1
  • 4
    • 84980086490 scopus 로고
    • Local behaviour of solutions of general linear elliptic equations
    • L. BERS, Local behaviour of solutions of general linear elliptic equations, Comm. Pure Appl. Math. 8 (1955), 473-496.
    • (1955) Comm. Pure Appl. Math. , vol.8 , pp. 473-496
    • Bers, L.1
  • 6
    • 0002869814 scopus 로고
    • Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
    • L. A. CAFFARELLI, A. FRIEDMAN, Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations, J. Differential Equations 60 (1985), 420-433.
    • (1985) J. Differential Equations , vol.60 , pp. 420-433
    • Caffarelli, L.A.1    Friedman, A.2
  • 8
    • 51249192264 scopus 로고
    • Eigenfunctions and Nodal sets
    • S.-Y. CHENG, Eigenfunctions and Nodal sets, Comm. Math. Helvetici 51 (1976), 43-55.
    • (1976) Comm. Math. Helvetici , vol.51 , pp. 43-55
    • Cheng, S.-Y.1
  • 9
    • 84972540536 scopus 로고
    • Nodal sets of eigenfunctions on Riemann surfaces
    • R.-T. DONG, Nodal sets of eigenfunctions on Riemann surfaces, J. Differential Geom. 36 (1992), 493-506.
    • (1992) J. Differential Geom. , vol.36 , pp. 493-506
    • Dong, R.-T.1
  • 10
    • 0001157319 scopus 로고
    • Nodal sets of eigenfunctions on Riemannian manifolds
    • H. DONELLY & CH. FEFFERMAN, Nodal sets of eigenfunctions on Riemannian manifolds. Invent. Math. 93 (1988), 161-183.
    • (1988) Invent. Math. , vol.93 , pp. 161-183
    • Donelly, H.1    Fefferman, C.H.2
  • 12
    • 84875086023 scopus 로고    scopus 로고
    • Nodal sets for eigenfunctions of the Laplacian on surfaces
    • to appear
    • _, Nodal sets for eigenfunctions of the Laplacian on surfaces, J. Amer. Math. Soc. (to appear).
    • J. Amer. Math. Soc.
  • 14
    • 0013038652 scopus 로고
    • Singular sets of solutions to elliptic equations
    • Q. HAN, Singular sets of solutions to elliptic equations, Indiana Univ. Math. J. 43 (1994), 983-1002.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 983-1002
    • Han, Q.1
  • 15
    • 0003284894 scopus 로고    scopus 로고
    • The analysis of linear partial differential operators 1
    • Springer Verlag, Berlin
    • L. HÖRMANDER, The Analysis of Linear Partial Differential Operators 1, Grundlehren Math. Wiss., Vol. 256, Springer Verlag, Berlin.
    • Grundlehren Math. Wiss. , vol.256
    • Hörmander, L.1
  • 16
    • 84972545721 scopus 로고
    • Nodal sets for solutions of elliptic equations
    • R. HARDT & L. SIMON, Nodal sets for solutions of elliptic equations, J. Differential Geom. 30 (1989), 505-522.
    • (1989) J. Differential Geom. , vol.30 , pp. 505-522
    • Hardt, R.1    Simon, L.2
  • 17
    • 0040390832 scopus 로고
    • On the local behaviour of nodes of solutions of Schrödinger equations in dimension ≥ 3
    • M. HOFFMANN-OSTENHOF & T. HOFFMANN-OSTENHOF, On the local behaviour of nodes of solutions of Schrödinger equations in dimension ≥ 3. Comm. Partial Differential Equations 15 (1990), 435-451.
    • (1990) Comm. Partial Differential Equations , vol.15 , pp. 435-451
    • Hoffmann-Ostenhof, M.1    Hoffmann-Ostenhof, T.2
  • 18
    • 0039350122 scopus 로고
    • Local properties of solutions of Schrödinger equations
    • _, Local properties of solutions of Schrödinger equations, Comm. Partial Differential Equations 17 (1992), 491-522.
    • (1992) Comm. Partial Differential Equations , vol.17 , pp. 491-522
  • 20
    • 84990619714 scopus 로고
    • Nodal sets of solutions of elliptic and parabolic equations
    • F. H. LIN, Nodal sets of solutions of elliptic and parabolic equations. Comm. Pure Appl. Math. XLIV (1991), 287-308.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 287-308
    • Lin, F.H.1
  • 21
    • 0002982313 scopus 로고
    • Singular points of complex hypersurfaces
    • J. MILNOR, Singular points of complex hypersurfaces, Ann. of Math. Stud. 61, (1968).
    • (1968) Ann. of Math. Stud. , vol.61
    • Milnor, J.1
  • 22
    • 0040390825 scopus 로고
    • Uniqueness and stability of the solution of an elliptic equation from a set to a domain
    • N. NADIRASHVILI, Uniqueness and stability of the solution of an elliptic equation from a set to a domain, Math. Notes of the Acad. Sci. USSR 40 (1986), 623-627.
    • (1986) Math. Notes of the Acad. Sci. USSR , vol.40 , pp. 623-627
    • Nadirashvili, N.1
  • 23
    • 84952416626 scopus 로고
    • Sur les zeros des solutions d'inequalités diferentielles elliptiques
    • L. ROBBIANO, Sur les zeros des solutions d'inequalités diferentielles elliptiques, Comm. Partial Differential Equations 12 (1987), 903-919.
    • (1987) Comm. Partial Differential Equations , vol.12 , pp. 903-919
    • Robbiano, L.1
  • 24
    • 0040390811 scopus 로고
    • Dimension de hausdorff et capacité de points singuliers d'une solution d'un opérateur elliptique
    • L. ROBBIANO & J. SALAZAR, Dimension de hausdorff et capacité de points singuliers d'une solution d'un opérateur elliptique, Bull. Sci. Math. 114 (1990), 329-336.
    • (1990) Bull. Sci. Math. , vol.114 , pp. 329-336
    • Robbiano, L.1    Salazar, J.2
  • 25
    • 0003372422 scopus 로고
    • Basic algebraic geometry
    • Springer-Verlag, Berlin
    • I. R. SHAVAREVIC, Basic Algebraic Geometry, Grundlehren Math. Wiss. Vol. 213 , Springer-Verlag, Berlin, 1974.
    • (1974) Grundlehren Math. Wiss. , vol.213
    • Shavarevic, I.R.1
  • 27
    • 0002015997 scopus 로고
    • Open problems in geometry
    • Problem 43
    • S. T. YAU, Open problems in geometry. Proc. Symp. Pure Math. 54,1 (1993), 1-28, Problem 43.
    • (1993) Proc. Symp. Pure Math. , vol.54 , Issue.1 , pp. 1-28
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.