메뉴 건너뛰기




Volumn 128, Issue 4, 1998, Pages 697-715

Positivity results for a nonlocal elliptic equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22044434282     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500021727     Document Type: Article
Times cited : (16)

References (19)
  • 1
    • 21344457868 scopus 로고    scopus 로고
    • Positivity of solutions of elliptic equations with nonlocal terms
    • W. Allegretto and A. Barabanova. Positivity of solutions of elliptic equations with nonlocal terms. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), 643-63.
    • (1996) Proc. Roy. Soc. Edinburgh Sect. A , vol.126 , pp. 643-663
    • Allegretto, W.1    Barabanova, A.2
  • 2
    • 0000605528 scopus 로고
    • Comparaison des mesures harmoniques et des fonctions de Green pour des opérateurs elliptiques sur un domaine Lipschitzien
    • A. Ancona. Comparaison des mesures harmoniques et des fonctions de Green pour des opérateurs elliptiques sur un domaine Lipschitzien. C. R. Acad. Sci. Paris 294 (1982), 505-8.
    • (1982) C. R. Acad. Sci. Paris , vol.294 , pp. 505-508
    • Ancona, A.1
  • 3
    • 0007387941 scopus 로고
    • Scattering and bound state solutions for a class of nonlocal potentials (s-wave)
    • M. Bertero, G. Talenti and G. A. Viano. Scattering and bound state solutions for a class of nonlocal potentials (s-wave). Comm. Math. Phys. 6 (1967), 128-50.
    • (1967) Comm. Math. Phys. , vol.6 , pp. 128-150
    • Bertero, M.1    Talenti, G.2    Viano, G.A.3
  • 4
    • 84966211299 scopus 로고
    • Conditional Gauge and potential theory for the Schrödinger operator
    • M. Cranston, E. Fabes and Z. Zhao. Conditional Gauge and potential theory for the Schrödinger operator. Trans. Amer. Math. Soc. 307 (1988), 171-94.
    • (1988) Trans. Amer. Math. Soc. , vol.307 , pp. 171-194
    • Cranston, M.1    Fabes, E.2    Zhao, Z.3
  • 6
    • 84974103874 scopus 로고
    • Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
    • B. Fiedler and P. Poláčic. Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 167-92.
    • (1990) Proc. Roy. Soc. Edinburgh Sect. A , vol.115 , pp. 167-192
    • Fiedler, B.1    Poláčic, P.2
  • 7
    • 84972091528 scopus 로고
    • A nonlocal Sturm-Liouville eigenvalue problem
    • P. Freitas. A nonlocal Sturm-Liouville eigenvalue problem. Proc. Roy. Soc. Edinburgh Sect. A 124 (1994), 169-88.
    • (1994) Proc. Roy. Soc. Edinburgh Sect. A , vol.124 , pp. 169-188
    • Freitas, P.1
  • 8
    • 0000095017 scopus 로고
    • Bifurcation and stability of stationary solutions of nonlocal scalar reaction-diffusion equations
    • P. Freitas. Bifurcation and stability of stationary solutions of nonlocal scalar reaction-diffusion equations. J. Dynam. Differential Equations 6 (1994), 613-29.
    • (1994) J. Dynam. Differential Equations , vol.6 , pp. 613-629
    • Freitas, P.1
  • 9
    • 0029407162 scopus 로고
    • Stability of stationary solutions of a nonlocal reaction-diffusion equation
    • P. Freitas. Stability of stationary solutions of a nonlocal reaction-diffusion equation. Quart. J. Mech. Appl. Math. 48 (1995), 557-82.
    • (1995) Quart. J. Mech. Appl. Math. , vol.48 , pp. 557-582
    • Freitas, P.1
  • 10
    • 0007117973 scopus 로고    scopus 로고
    • Stability of stationary solutions of nonlocal reaction-diffusion equations in m-dimensional space
    • to appear
    • P. Freitas and M. P. Vishnevskii. Stability of stationary solutions of nonlocal reaction-diffusion equations in m-dimensional space. Differential Integral Equations (to appear).
    • Differential Integral Equations
    • Freitas, P.1    Vishnevskii, M.P.2
  • 12
    • 0000539082 scopus 로고
    • The Green function for uniformly elliptic equations
    • M. Grüter and K.-O. Widman. The Green function for uniformly elliptic equations. Manuscripta Math. 37 (1982), 303-42.
    • (1982) Manuscripta Math. , vol.37 , pp. 303-342
    • Grüter, M.1    Widman, K.-O.2
  • 14
    • 33747079111 scopus 로고
    • Solution nouvelle d'un problème d'analyse, relatif aux phénomènes thermomécaniques
    • J. Liouville. Solution nouvelle d'un problème d'analyse, relatif aux phénomènes thermomécaniques. J. Math. Pures Appl. 2 (1837), 439-56.
    • (1837) J. Math. Pures Appl. , vol.2 , pp. 439-456
    • Liouville, J.1
  • 15
    • 84985315693 scopus 로고
    • Weakly coupled elliptic systems and positivity
    • E. Mitidieri and G. Sweers. Weakly coupled elliptic systems and positivity. Math. Nachr. 173 (1995), 259-86.
    • (1995) Math. Nachr. , vol.173 , pp. 259-286
    • Mitidieri, E.1    Sweers, G.2
  • 16
    • 0003207468 scopus 로고
    • One-parameter semigroups of positive operators
    • R. Nagel, ed., Berlin: Springer
    • R. Nagel, ed., One-parameter semigroups of positive operators, Springer Lecture Notes in Mathematics 1184 (Berlin: Springer, 1986).
    • (1986) Springer Lecture Notes in Mathematics 1184
  • 17
    • 21344468661 scopus 로고    scopus 로고
    • Stable periodic solutions of a spatially homogeneous nonlocal reaction-diffusion equation
    • P. Poláčic and V. Šošovička. Stable periodic solutions of a spatially homogeneous nonlocal reaction-diffusion equation. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), 867-84.
    • (1996) Proc. Roy. Soc. Edinburgh Sect. A , vol.126 , pp. 867-884
    • Poláčic, P.1    Šošovička, V.2
  • 18
    • 0000532734 scopus 로고
    • Positivity for a strongly coupled elliptic system by Green function estimates
    • G. Sweers. Positivity for a strongly coupled elliptic system by Green function estimates. J. Geom. Anal. 4 (1994), 121-42.
    • (1994) J. Geom. Anal. , vol.4 , pp. 121-142
    • Sweers, G.1
  • 19
    • 0000916784 scopus 로고
    • Green function for Schrödinger operator and conditioned Feynman-Kac gauge
    • Z. Zhao. Green function for Schrödinger operator and conditioned Feynman-Kac gauge. J. Math. Anal. Appl. 116 (1986), 309-34.
    • (1986) J. Math. Anal. Appl. , vol.116 , pp. 309-334
    • Zhao, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.