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Volumn 50, Issue 11, 1997, Pages 1089-1111

Monotonicity for elliptic equations in unbounded lipschitz domains

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EID: 0031515499     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199711)50:11<1089::AID-CPA2>3.0.CO;2-6     Document Type: Article
Times cited : (264)

References (23)
  • 1
    • 0031093925 scopus 로고    scopus 로고
    • Symétrie radiale pour des problèmes elliptiques surdéterminés posés dans des domaines extérieurs
    • Aftalion, A., and Busca, J., Symétrie radiale pour des problèmes elliptiques surdéterminés posés dans des domaines extérieurs (French) [Radial symmetry of overdetermined boundary value problems in exterior domains], C. R. Acad. Sci. Paris Sér. I Math. 324(6), 1997, pp. 633-638.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , Issue.6 , pp. 633-638
    • Aftalion, A.1    Busca, J.2
  • 2
    • 0000683727 scopus 로고
    • A characteristic properly of spheres
    • Alexandrov, A. D., A characteristic properly of spheres, Ann. Mat. Pura Appl. (4) 58, 1962, pp. 303-315.
    • (1962) Ann. Mat. Pura Appl. (4) , vol.58 , pp. 303-315
    • Alexandrov, A.D.1
  • 3
    • 0000808032 scopus 로고
    • Uniqueness of the solution of a semilinear boundary value problem
    • Angenent, S. B., Uniqueness of the solution of a semilinear boundary value problem, Math. Ann. 272, 1985, pp. 129-138.
    • (1985) Math. Ann. , vol.272 , pp. 129-138
    • Angenent, S.B.1
  • 4
    • 85056060121 scopus 로고
    • Uniform estimates for regularization of free boundary problems
    • Analysis and Partial Differential Equations, C. Sadosky, ed., Dekker, New York
    • Berestycki, H., Caffarelli, L. A., and Nirenberg, L., Uniform estimates for regularization of free boundary problems, pp. 567-617 in: Analysis and Partial Differential Equations, C. Sadosky, ed., Lecture Notes in Pure and Applied Mathematics No. 122, Dekker, New York, 1990.
    • (1990) Lecture Notes in Pure and Applied Mathematics No. 122 , vol.122 , pp. 567-617
    • Berestycki, H.1    Caffarelli, L.A.2    Nirenberg, L.3
  • 5
    • 0001928126 scopus 로고
    • Symmetry for elliptic equations in a half-space
    • Boundary Value Problems for Partial Differential Equations and Applications, J. L. Lions et al., eds., Masson, Paris
    • Berestycki, H., Caffarelli, L. A., and Nirenberg, L., Symmetry for elliptic equations in a half-space, pp. 27-42 in: Boundary Value Problems for Partial Differential Equations and Applications, RMA Res. Notes Appl. Math., 29, J. L. Lions et al., eds., Masson, Paris, 1993.
    • (1993) RMA Res. Notes Appl. Math. , vol.29 , pp. 27-42
    • Berestycki, H.1    Caffarelli, L.A.2    Nirenberg, L.3
  • 6
    • 0001440517 scopus 로고    scopus 로고
    • Inequalities for second-order elliptic equations with applications to unbounded domains, I
    • Berestycki, H., Caffarelli, L. A., and Nirenberg, L., Inequalities for second-order elliptic equations with applications to unbounded domains, I, Duke Math. J. 81, 1996, pp. 467-494.
    • (1996) Duke Math. J. , vol.81 , pp. 467-494
    • Berestycki, H.1    Caffarelli, L.A.2    Nirenberg, L.3
  • 9
    • 13844311748 scopus 로고
    • On the method of moving planes and the sliding method
    • Berestycki, H., and Nirenberg, L., On the method of moving planes and the sliding method, Bol. Soc. Brasil Mat. (N.S.) 22, 1991, pp. 1-37.
    • (1991) Bol. Soc. Brasil Mat. (N.S.) , vol.22 , pp. 1-37
    • Berestycki, H.1    Nirenberg, L.2
  • 11
    • 84990602584 scopus 로고
    • The principal eigenvalue and maximum principle for second-order elliptic operators in general domains
    • Berestycki, H., Nirenberg, L., and Varadhan, S. R. S., The principal eigenvalue and maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47, 1994, pp. 47-92.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 47-92
    • Berestycki, H.1    Nirenberg, L.2    Varadhan, S.R.S.3
  • 12
    • 0002131129 scopus 로고
    • Existence and multiplicity results for a semilinear elliptic eigenvalue problem
    • Clément, P., and Sweers, G., Existence and multiplicity results for a semilinear elliptic eigenvalue problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 14(1), 1987, pp. 97-121.
    • (1987) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.14 , Issue.1 , pp. 97-121
    • Clément, P.1    Sweers, G.2
  • 13
    • 84971725019 scopus 로고
    • Some notes on the method of moving planes
    • Dancer, E. N., Some notes on the method of moving planes, Bull. Austral. Math. Soc. 46(3), 1992, pp. 425-434.
    • (1992) Bull. Austral. Math. Soc. , vol.46 , Issue.3 , pp. 425-434
    • Dancer, E.N.1
  • 14
    • 84971139225 scopus 로고
    • Existence and nonexistence results for semilinear elliptic problems in unbounded domains
    • Esteban, M. J., and Lions, P.-L., Existence and nonexistence results for semilinear elliptic problems in unbounded domains, Proc. Royal Soc. Edinburgh Sect. A 93, 1982/83, pp. 1-14.
    • (1982) Proc. Royal Soc. Edinburgh Sect. A , vol.93 , pp. 1-14
    • Esteban, M.J.1    Lions, P.-L.2
  • 15
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • Gidas, B., Ni, W. M., and Nirenberg, L., Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68, 1979, pp. 209-243.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 18
    • 0000925067 scopus 로고
    • Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
    • Li, C., Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains, Comm. Partial Differential Equations 16, 1991, pp. 585-615.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 585-615
    • Li, C.1
  • 19
    • 0000130264 scopus 로고
    • Some entire solutions in the plane of nonlinear poisson equations
    • Modica, L., and Mortola, S., Some entire solutions in the plane of nonlinear Poisson equations, Boll. Un. Mat. Ital. B (5) 17, 1980, pp 614-622.
    • (1980) Boll. Un. Mat. Ital. B (5) , vol.17 , pp. 614-622
    • Modica, L.1    Mortola, S.2
  • 20
    • 85033111310 scopus 로고    scopus 로고
    • Radial symmetry by moving planes for semilinear elliptic boundary value problems on exterior domains
    • to appear
    • Reichel, W., Radial symmetry by moving planes for semilinear elliptic boundary value problems on exterior domains, Arch. Rational Mech. Anal., to appear.
    • Arch. Rational Mech. Anal.
    • Reichel, W.1
  • 21
    • 0001358147 scopus 로고
    • A symmetry theorem in potential theory
    • Serrin, J., A symmetry theorem in potential theory, Arch. Rational Mech. Anal. 43, 1971, pp. 304-318.
    • (1971) Arch. Rational Mech. Anal. , vol.43 , pp. 304-318
    • Serrin, J.1
  • 23
    • 85033116704 scopus 로고
    • Doctoral Dissertation, Courant Institute of Mathematical Sciences, New York University
    • Tehrani, H., On some semilinear elliptic boundary value problems, Doctoral Dissertation, Courant Institute of Mathematical Sciences, New York University, 1994.
    • (1994) On Some Semilinear Elliptic Boundary Value Problems
    • Tehrani, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.