메뉴 건너뛰기




Volumn 201, Issue 2, 1996, Pages 339-364

An abstract form of maximum and anti-maximum principles of Hopf's type

(1)  Takáč, Peter a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030585955     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0259     Document Type: Article
Times cited : (30)

References (29)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I
    • 1. S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math. 12 (1959), 623-727.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 2
    • 0000605528 scopus 로고
    • Comparaison des mesures harmoniques et des fonctions de green pour des opérateurs elliptiques sur un domaine lipschitzien
    • 2. A. Ancona, Comparaison des mesures harmoniques et des fonctions de Green pour des opérateurs elliptiques sur un domaine lipschitzien, C. R. Acad. Sci. Paris Sér. I 294 (1982), 505-508.
    • (1982) C. R. Acad. Sci. Paris Sér. I , vol.294 , pp. 505-508
    • Ancona, A.1
  • 3
    • 0001285470 scopus 로고
    • On the principal eigenvalue of a periodic-parabolic operator
    • 3. A. Beltramo and P. Hess, On the principal eigenvalue of a periodic-parabolic operator, Comm. Partial Differential Equations 9 (1984), 919-941.
    • (1984) Comm. Partial Differential Equations , vol.9 , pp. 919-941
    • Beltramo, A.1    Hess, P.2
  • 5
    • 0001189789 scopus 로고
    • Principe du maximum dans les espaces de sobolev
    • 5. J.-M. Bony, Principe du maximum dans les espaces de Sobolev, C. R. Acad. Sci. Paris Sér. A 265 (1967), 333-336.
    • (1967) C. R. Acad. Sci. Paris Sér. A , vol.265 , pp. 333-336
    • Bony, J.-M.1
  • 6
    • 0011674111 scopus 로고
    • On the eigenvalue problem for coupled elliptic systems
    • 6. R. S. Cantrell and K. Schmitt, On the eigenvalue problem for coupled elliptic systems, SIAM J. Math. Anal. 17 (1986), 850-862.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 850-862
    • Cantrell, R.S.1    Schmitt, K.2
  • 7
    • 0001703975 scopus 로고
    • An anti-maximum principle for second order elliptic operators
    • 7. Ph. Clément and L. A. Peletier, An anti-maximum principle for second order elliptic operators, J. Differential Equations 34 (1979), 218-229.
    • (1979) J. Differential Equations , vol.34 , pp. 218-229
    • Clément, Ph.1    Peletier, L.A.2
  • 12
    • 84972505059 scopus 로고
    • On maximum principles and existence of positive solutions for some cooperative elliptic systems
    • 12. J. Fleckinger, J. Hernández, and F. de Thélin, On maximum principles and existence of positive solutions for some cooperative elliptic systems, Differential Integral Equations 8 (1995), 69-85.
    • (1995) Differential Integral Equations , vol.8 , pp. 69-85
    • Fleckinger, J.1    Hernández, J.2    De Thélin, F.3
  • 14
    • 0020595904 scopus 로고
    • On the eigenvalue problem for weakly coupled elliptic systems
    • 14. P. Hess, On the eigenvalue problem for weakly coupled elliptic systems, Arch. Rational Mech. Anal. 81 (1983), 151-159.
    • (1983) Arch. Rational Mech. Anal. , vol.81 , pp. 151-159
    • Hess, P.1
  • 15
    • 0003323485 scopus 로고
    • Periodic-parabolic boundary value problems and positivity
    • Longman Scientific & Technical, Essex
    • 15. P. Hess, "Periodic-parabolic Boundary Value Problems and Positivity," Pitman Res. Notes Math Ser., Vol. 247, Longman Scientific & Technical, Essex, 1991.
    • (1991) Pitman Res. Notes Math Ser. , vol.247
    • Hess, P.1
  • 18
    • 84966204935 scopus 로고
    • A remark on Bony's maximum principle
    • 18. P.-L. Lions, A remark on Bony's maximum principle, Proc. Amer. Math. Soc. 88 (1983), 503-508.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 503-508
    • Lions, P.-L.1
  • 19
    • 84966246501 scopus 로고
    • Abstract functional differential equations and reaction-diffusion systems
    • 19. R. H. Martin, Jr. and H. L. Smith, Abstract functional differential equations and reaction-diffusion systems, Trans. Amer. Math. Soc. 321, No. 1 (1990), 1-44.
    • (1990) Trans. Amer. Math. Soc. , vol.321 , Issue.1 , pp. 1-44
    • Martin R.H., Jr.1    Smith, H.L.2
  • 20
    • 84985315693 scopus 로고
    • Weakly coupled elliptic systems and positivity
    • 20. E. Mitidieri and G. Sweers, Weakly coupled elliptic systems and positivity, Math. Nachr. 173 (1995), 259-286.
    • (1995) Math. Nachr. , vol.173 , pp. 259-286
    • Mitidieri, E.1    Sweers, G.2
  • 23
    • 0003944687 scopus 로고
    • Springer-Verlag, New York/ Berlin/ Heidelberg
    • 23. H. H. Schaefer, "Topological Vector Spaces," Springer-Verlag, New York/ Berlin/ Heidelberg, 1986.
    • (1986) Topological Vector Spaces
    • Schaefer, H.H.1
  • 24
    • 0001243427 scopus 로고
    • Monotone semiflows generated by functional differential equations
    • 24. H. L. Smith, Monotone semiflows generated by functional differential equations, J. Differential Equations 66 (1987), 420-442.
    • (1987) J. Differential Equations , vol.66 , pp. 420-442
    • Smith, H.L.1
  • 25
    • 51649131970 scopus 로고
    • Strong positivity in C(Ω̄) for elliptic systems
    • 25. G. Sweers, Strong positivity in C(Ω̄) for elliptic systems, Mat. Z. 209 (1992), 251-271.
    • (1992) Mat. Z. , vol.209 , pp. 251-271
    • Sweers, G.1
  • 26
    • 0011625282 scopus 로고
    • A short elementary proof of the Kreǐn-Rutman theorem
    • 26. P. Takáč, A short elementary proof of the Kreǐn-Rutman theorem, Houston J. Math. 20, No. 1 (1994), 93-98.
    • (1994) Houston J. Math. , vol.20 , Issue.1 , pp. 93-98
    • Takáč, P.1
  • 28
    • 0004021335 scopus 로고
    • Springer-Verlag, New York/Berlin/Heidelberg
    • 28. K. Yosida, "Functional Analysis," 6th ed., Springer-Verlag, New York/Berlin/Heidelberg, 1980.
    • (1980) Functional Analysis, 6th Ed.
    • Yosida, K.1
  • 29
    • 0011556366 scopus 로고
    • Green functions and conditioned gauge theorem for a 2-dimensional domain
    • E. Çinlar et al., Eds., Birkhäuser, Boston/Basel/Berlin
    • 29. Z. Zhao, Green functions and conditioned gauge theorem for a 2-dimensional domain, in "Seminar on Stochastic Processes, 1987," (E. Çinlar et al., Eds.), pp. 283-294, Birkhäuser, Boston/Basel/Berlin, 1988.
    • (1988) Seminar on Stochastic Processes, 1987 , pp. 283-294
    • Zhao, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.