메뉴 건너뛰기




Volumn 1998, Issue , 1998, Pages 1-18

A minmax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems

Author keywords

Dirichlet problem; Sign changing solution

Indexed keywords


EID: 3342925295     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (32)

References (23)
  • 1
    • 0003796630 scopus 로고
    • New York, Academic Press
    • R. Adams, Sobolev Spaces, New York, Academic Press (1975).
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 2
    • 84966206938 scopus 로고
    • A Note on Degree Theory for Gradient Mappings
    • H. Amann, A Note on Degree Theory for Gradient Mappings, Proc. of the Am. Math. Soc., Vol. 85, No. 4, (1982), pp. 591-595.
    • (1982) Proc. of the Am. Math. Soc. , vol.85 , Issue.4 , pp. 591-595
    • Amann, H.1
  • 3
    • 0000636235 scopus 로고    scopus 로고
    • On the Existence of Sign Changing Solutions for Semilinear Dirichlet Problems
    • T. Bartsch and Z. Q. Wang, On the Existence of Sign Changing Solutions for Semilinear Dirichlet Problems, Topological Methods in Nonlinear Analysis, Vol. 7 (1996), pp. 115-131.
    • (1996) Topological Methods in Nonlinear Analysis , vol.7 , pp. 115-131
    • Bartsch, T.1    Wang, Z.Q.2
  • 4
    • 3342957806 scopus 로고
    • Primer Simposio Colombiano de Análisis Funcional, Medellín, Colombia
    • A. Castro, Métodos de Reducción via Minimax, Primer Simposio Colombiano de Análisis Funcional, Medellín, Colombia, (1981).
    • (1981) Métodos de Reducción Via Minimax
    • Castro, A.1
  • 5
    • 21844513556 scopus 로고
    • Multiple Solutions for a Nonlinear Dirichlet Problem
    • A. Castro and J. Cossio, Multiple Solutions for a Nonlinear Dirichlet Problem, SIAM J. Math. Anal., Vol. 25 (1994), pp. 1554-1561.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1554-1561
    • Castro, A.1    Cossio, J.2
  • 6
    • 0031372470 scopus 로고    scopus 로고
    • Sign Changing Solutions for a Superlinear Dirichlet Problem
    • A. Castro, J. Cossio and J. M. Neuberger, Sign Changing Solutions for a Superlinear Dirichlet Problem, Rocky Mountain J. M., Vol 27, No. 4 (1997), pp. 1041-1053.
    • (1997) Rocky Mountain J. M. , vol.27 , Issue.4 , pp. 1041-1053
    • Castro, A.1    Cossio, J.2    Neuberger, J.M.3
  • 8
    • 84966206713 scopus 로고
    • Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball with Jumping Nonlinearities
    • A. Castro and A. Kurepa, Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball with Jumping Nonlinearities, Trans. Amer. Math. Soc. 315 (1) (1989), pp. 353-372.
    • (1989) Trans. Amer. Math. Soc. , vol.315 , Issue.1 , pp. 353-372
    • Castro, A.1    Kurepa, A.2
  • 9
    • 34250273736 scopus 로고
    • Critical Point Theory and the Number of Solutions of a Nonlinear Dirichlet Problem
    • A. Castro and A. C. Lazer, Critical Point Theory and the Number of Solutions of a Nonlinear Dirichlet Problem, Ann. Mat. Pura Appl., Vol. 70, No. 4 (1979), pp. 113-137.
    • (1979) Ann. Mat. Pura Appl. , vol.70 , Issue.4 , pp. 113-137
    • Castro, A.1    Lazer, A.C.2
  • 10
    • 0000302932 scopus 로고
    • Remarks on Multiple Solutions for Asymptotically Linear Elliptic Boundary Value Problems
    • K. C. Chang, S. Li and J. Liu, Remarks on Multiple Solutions for Asymptotically Linear Elliptic Boundary Value Problems, Topological Methods in Nonlinear Analysis, Vol. 3 (1994), pp. 179-187.
    • (1994) Topological Methods in Nonlinear Analysis , vol.3 , pp. 179-187
    • Chang, K.C.1    Li, S.2    Liu, J.3
  • 14
    • 34250271532 scopus 로고
    • Symmetry and Related Properties via the Maximum Principle
    • B. Gidas, W. Ni and L. Nirenberg, 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.2    Nirenberg, L.3
  • 16
    • 0004194874 scopus 로고
    • Englewood Cliffs, N.J., Prentice-Hall
    • V. Guillemin - A. Pollack, Differential Topology, Englewood Cliffs, N.J., Prentice-Hall (1974) 21-28.
    • (1974) Differential Topology , pp. 21-28
    • Pollack, V.G.-A.1
  • 17
    • 0001202153 scopus 로고
    • The Topological Degree at a Critical Point of Mountain Pass Type
    • H. Hofer, The Topological Degree at a Critical Point of Mountain Pass Type, Proc. Sympos. Pure Math., Vol. 45, (1986), pp. 501-509.
    • (1986) Proc. Sympos. Pure Math. , vol.45 , pp. 501-509
    • Hofer, H.1
  • 18
    • 0003307061 scopus 로고
    • Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems
    • Providence, RI, AMS
    • C. Kenig, Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems, Regional Conference Series in Mathematics, 83, Providence, RI, AMS (1994).
    • (1994) Regional Conference Series in Mathematics , vol.83
    • Kenig, C.1
  • 20
    • 0041155645 scopus 로고
    • Multiplicity Results for a Class of Semilinear Elliptic and Parabolic Boundary Value Problems
    • A. C. Lazer and J. P. McKenna, Multiplicity Results for a Class of Semilinear Elliptic and Parabolic Boundary Value Problems, J. Math. Anal. Appl., Vol. 107 (1985), pp. 371-395.
    • (1985) J. Math. Anal. Appl. , vol.107 , pp. 371-395
    • Lazer, A.C.1    McKenna, J.P.2
  • 21
    • 0001901435 scopus 로고
    • Minimax Methods in Critical Point Theory with Applications to Differential Equations
    • Providence, RI, AMS
    • P. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, Regional Conference Series in Mathematics, 65, Providence, RI, AMS (1986).
    • (1986) Regional Conference Series in Mathematics , vol.65
    • Rabinowitz, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.