메뉴 건너뛰기




Volumn 64, Issue 1-2, 1997, Pages 153-169

Symmetry properties of positive solutions of elliptic equations on symmetric domains

Author keywords

Monofonicity; Positive solutions; Semilinear equations; Symmetry

Indexed keywords


EID: 0001296278     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819708840527     Document Type: Article
Times cited : (31)

References (21)
  • 1
    • 0002019196 scopus 로고
    • Uniqueness theorems for sufaces in the large I
    • Alexandrov, A.D., 1956. Uniqueness theorems for sufaces in the large I. Vestnik Leningrad Univ. Math., 11: 5–17.
    • (1956) Vestnik Leningrad Univ. Math. , vol.11 , pp. 5-17
    • Alexandrov, A.D.1
  • 2
    • 0001508520 scopus 로고
    • Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
    • Berestycki, H., and Nirenberg, L., 1988. Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. J. Geometry and Physics, 5: 237–275.
    • (1988) J. Geometry and Physics , vol.5 , pp. 237-275
    • Berestycki, H.1    Nirenberg, L.2
  • 3
    • 0000840471 scopus 로고
    • Some qualitative properties of solutions of semilinear equations in cylindrical domains
    • Rabinowitz P., (ed), Academic Press, and,. Edited by
    • Berestycki, H., and Nirenberg, L., 1990. “ Some qualitative properties of solutions of semilinear equations in cylindrical domains ”. In Analysis et cetera, Edited by: Rabinowitz, P., 115–164. Academic Press.
    • (1990) Analysis et cetera , pp. 115-164
    • Berestycki, H.1    Nirenberg, L.2
  • 4
    • 13844311748 scopus 로고
    • On the method of moving planes and the sliding method
    • Berestycki, H., and Nirenberg, L., 1991. On the method of moving planes and the sliding method. Bol. Soc. Bras. Mat., 22 (1): 1–37.
    • (1991) Bol. Soc. Bras. Mat. , vol.22 , Issue.1 , pp. 1-37
    • Berestycki, H.1    Nirenberg, L.2
  • 6
    • 38249024346 scopus 로고
    • Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions
    • Berestycki, H., and Pacella, F., 1989. Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions. J. Funct. Anal., 87 (1): 177–211.
    • (1989) J. Funct. Anal. , vol.87 , Issue.1 , pp. 177-211
    • Berestycki, H.1    Pacella, F.2
  • 7
    • 0001189789 scopus 로고
    • Principle du maximum dans les spaces de Sobolev
    • Bony, J.M., 1967. Principle du maximum dans les spaces de Sobolev. C.R. Acad. Sci. Paris, Ser., A 255 (1): 333–336.
    • (1967) C.R. Acad. Sci. Paris, Ser. , vol.A 255 , Issue.1 , pp. 333-336
    • Bony, J.M.1
  • 10
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • Gidas, B., Ni, W.N., and Nirenberg, L., 1979. Symmetry and related properties via the maximum principle. Comm. Math. Phys., 68 (1): 209–243.
    • (1979) Comm. Math. Phys. , vol.68 , Issue.1 , pp. 209-243
    • Gidas, B.1    Ni, W.N.2    Nirenberg, L.3
  • 11
    • 0000924617 scopus 로고
    • n
    • Nachbin L., (ed), Academic Press, Part A, Advances Math. Suppl. Studies, and,. Edited by
    • n ”. In Math Anal. and Appli., Edited by: Nachbin, L., Vol. 7A, 369–402. Academic Press. Part A, Advances in Math. Suppl. Studies
    • (1981) Math Anal. and Appli. , vol.7A , pp. 369-402
    • Gidas, B.1    Ni, W.N.2    Nirenberg, L.3
  • 13
    • 0010999796 scopus 로고
    • Nonlinear elliptic and parabolic equations of the second order
    • Springer Verlag,. In
    • Krylov, N.V., 1983. “ Nonlinear elliptic and parabolic equations of the second order ”. In Grundlehren der math Wiss., Springer Verlag.
    • (1983) Grundlehren der math Wiss.
    • Krylov, N.V.1
  • 15
    • 84966204935 scopus 로고
    • A remark on Bony's maximum principle
    • Lions, P.L., 1983. A remark on Bony's maximum principle. Proc. Amer. Math. Soc., 88: 503–508.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 503-508
    • Lions, P.L.1
  • 18
    • 0001358147 scopus 로고
    • A symmetry problem in potential theory
    • surfaces, J.Diff. Geom., 18 (1983) 791-809
    • Serrin, J., 1971. A symmetry problem in potential theory. Arch. Rat. Mech., 43: 304–318. surfaces, J.Diff. Geom., 18 (1983) 791-809
    • (1971) Arch. Rat. Mech. , vol.43 , pp. 304-318
    • Serrin, J.1
  • 19
    • 0002562437 scopus 로고
    • On symmetry in elliptic systems
    • Shaker, A.W., 1991. On symmetry in elliptic systems. Applicable Anal., 41: 1–9.
    • (1991) Applicable Anal. , vol.41 , pp. 1-9
    • Shaker, A.W.1
  • 20
    • 0001391656 scopus 로고
    • On the degenerate elliptic-parabolic operators of second order and their associated diffussions
    • Stroock, D., and Varadhan, S.R.S., 1972. On the degenerate elliptic-parabolic operators of second order and their associated diffussions. Comm. Pure Appl. Math., 25: 651–713.
    • (1972) Comm. Pure Appl. Math. , vol.25 , pp. 651-713
    • Stroock, D.1    Varadhan, S.R.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.