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Volumn 133, Issue 5, 2003, Pages 1175-1192

Axial symmetry of solutions to semilinear elliptic equations in unbounded domains

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EID: 0344981521     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500002869     Document Type: Conference Paper
Times cited : (9)

References (24)
  • 2
    • 0034400761 scopus 로고    scopus 로고
    • On the Morse indices of sign changing solutions of nonlinear elliptic problems
    • T. Bartsch, K. C. Chang and Z. Q. Wang. On the Morse indices of sign changing solutions of nonlinear elliptic problems. Math. Z. 233 (2000), 655-677.
    • (2000) Math. Z. , vol.233 , pp. 655-677
    • Bartsch, T.1    Chang, K.C.2    Wang, Z.Q.3
  • 3
    • 84975997369 scopus 로고
    • A remark on the nodal regions of the solutions of some super-linear elliptic equations
    • V. Benci and D. Fortunato. A remark on the nodal regions of the solutions of some super-linear elliptic equations. Proc. R. Soc. Edinb. A 111 (1989), 123-128.
    • (1989) Proc. R. Soc. Edinb. A , vol.111 , pp. 123-128
    • Benci, V.1    Fortunato, D.2
  • 4
    • 13844311748 scopus 로고
    • On the method of moving planes and the sliding method
    • H. Berestycki and L. Nirenberg. On the method of moving planes and the sliding method. Bol. Soc. Brasil Mat. 22 (1991), 1-37.
    • (1991) Bol. Soc. Brasil Mat. , vol.22 , pp. 1-37
    • Berestycki, H.1    Nirenberg, L.2
  • 6
    • 84990602584 scopus 로고
    • The principal eigenvalue and maximum principle for second-order elliptic operators in general domains
    • H. Berestycki, L. Nirenberg and S. R. S. Varadhan. The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Commun. Pure Appl. Math. 47 (1994), 47-92.
    • (1994) Commun. Pure Appl. Math. , vol.47 , pp. 47-92
    • Berestycki, H.1    Nirenberg, L.2    Varadhan, S.R.S.3
  • 7
    • 85015471238 scopus 로고    scopus 로고
    • Further qualitative properties for elliptic equations in unbounded domains
    • Dedicated to Ennio De Giorgi.
    • H. Berestycki, L. A. Caffarelli and L. Nirenberg. Further qualitative properties for elliptic equations in unbounded domains. (Dedicated to Ennio De Giorgi.). Annli Scuola Norm. Sup. Pisa 25 (1998), 69-94.
    • (1998) Annli Scuola Norm. Sup. Pisa , vol.25 , pp. 69-94
    • Berestycki, H.1    Caffarelli, L.A.2    Nirenberg, L.3
  • 8
    • 0003863052 scopus 로고
    • Mathematics and its Applications (Dordrecht: Kluwer Academic)
    • F. A. Berezin and M. A. Shubin. The Schrödinger equation. Mathematics and its Applications, vol. 66 (Dordrecht: Kluwer Academic, 1991).
    • (1991) The Schrödinger Equation , vol.66
    • Berezin, F.A.1    Shubin, M.A.2
  • 9
    • 84985345655 scopus 로고
    • Continuous Steiner-symmetrization
    • F. Brock. Continuous Steiner-symmetrization. Math. Nachr. 172 (1995), 25-48.
    • (1995) Math. Nachr. , vol.172 , pp. 25-48
    • Brock, F.1
  • 10
    • 0035578399 scopus 로고    scopus 로고
    • On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions
    • F. Catrina and Z. Q. Wang. On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Commun. Pure Appl. Math. 54 (2001), 229-258.
    • (2001) Commun. Pure Appl. Math. , vol.54 , pp. 229-258
    • Catrina, F.1    Wang, Z.Q.2
  • 11
    • 0005437692 scopus 로고    scopus 로고
    • Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
    • L. Damascelli, M. Grossi and F. Pacella. Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle. Annls Inst. H. Poincaré Analyse Non Linéaire 16 (1999), 631-652.
    • (1999) Annls Inst. H. Poincaré Analyse Non Linéaire , vol.16 , pp. 631-652
    • Damascelli, L.1    Grossi, M.2    Pacella, F.3
  • 12
    • 0033436674 scopus 로고    scopus 로고
    • Symmetry of ground states of p-Laplace equations via the moving plane method
    • L. Damascelli, F. Pacella and M. Ramaswamy. Symmetry of ground states of p-Laplace equations via the moving plane method. Arch. Ration. Mech. Analysis 148 (1999), 291-308.
    • (1999) Arch. Ration. Mech. Analysis , vol.148 , pp. 291-308
    • Damascelli, L.1    Pacella, F.2    Ramaswamy, M.3
  • 13
    • 84990614227 scopus 로고
    • Nonsymmetric ground states of symmetric variational problems
    • M. J. Esteban. Nonsymmetric ground states of symmetric variational problems. Commun. Pure Appl. Math. 44 (1991), 259-274.
    • (1991) Commun. Pure Appl. Math. , vol.44 , pp. 259-274
    • Esteban, M.J.1
  • 14
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. Gidas, W. M. Ni and L. Nirenberg. Symmetry and related properties via the maximum principle. Commun. Math. Phys. 68 (1979), 209-243.
    • (1979) Commun. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 16
    • 0035635114 scopus 로고    scopus 로고
    • Locating the peaks of solutions via the maximum principle. I. The Neumann problem
    • C. S. Lin. Locating the peaks of solutions via the maximum principle. I. The Neumann problem. Commun. Pure Appl. Math. 54 (2001), 1065-1095.
    • (2001) Commun. Pure Appl. Math. , vol.54 , pp. 1065-1095
    • Lin, C.S.1
  • 17
    • 0038249182 scopus 로고    scopus 로고
    • Method of rotating planes applied to a singularly perturbed Neumann problem
    • C. S. Lin and I. Takagi. Method of rotating planes applied to a singularly perturbed Neumann problem. Calc. Var. PDEs 13 (2001), 519-536.
    • (2001) Calc. Var. PDEs , vol.13 , pp. 519-536
    • Lin, C.S.1    Takagi, I.2
  • 18
    • 85030707196 scopus 로고
    • The concentration-compactness method in the calculus of variations. The locally compact case. I
    • P.-L. Lions. The concentration-compactness method in the calculus of variations. The locally compact case. I. Annls Inst. H. Poincaré Analyse Non Linéaire 1 (1984), 109-145.
    • (1984) Annls Inst. H. Poincaré Analyse Non Linéaire , vol.1 , pp. 109-145
    • Lions, P.-L.1
  • 19
    • 85030719142 scopus 로고
    • The concentration-compactness method in the calculus of variations. The locally compact case. II
    • P.-L. Lions. The concentration-compactness method in the calculus of variations. The locally compact case. II. Annls Inst. H. Poincaré Analyse Non Linéaire 1 (1984), 223-283.
    • (1984) Annls Inst. H. Poincaré Analyse Non Linéaire , vol.1 , pp. 223-283
    • Lions, P.-L.1
  • 20
    • 0037141863 scopus 로고    scopus 로고
    • Symmetry results for solutions of semilinear elliptic equations with convex non-linearities
    • F. Pacella. Symmetry results for solutions of semilinear elliptic equations with convex non-linearities. J. Funct. Analysis 192 (2002), 271-282.
    • (2002) J. Funct. Analysis , vol.192 , pp. 271-282
    • Pacella, F.1
  • 22
    • 0001358147 scopus 로고
    • A symmetry problem in potential theory
    • J. Serrin. A symmetry problem in potential theory. Arch. Ration. Mech. Analysis 43 (1971), 304-318.
    • (1971) Arch. Ration. Mech. Analysis , vol.43 , pp. 304-318
    • Serrin, J.1
  • 23
    • 0033463505 scopus 로고    scopus 로고
    • Symmetry of ground states of quasilinear elliptic equations
    • J. Serrin and H. Zou. Symmetry of ground states of quasilinear elliptic equations. Arch. Ration. Mech. Analysis 148 (1999), 265-290.
    • (1999) Arch. Ration. Mech. Analysis , vol.148 , pp. 265-290
    • Serrin, J.1    Zou, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.