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Volumn 162, Issue 2, 2005, Pages 919-942

Discreteness of spectrum and positivity criteria for Schrödinger operators

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EID: 28644440408     PISSN: 0003486X     EISSN: 0003486X     Source Type: Journal    
DOI: 10.4007/annals.2005.162.919     Document Type: Article
Times cited : (52)

References (11)
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    • (1934) Math. Ann. , vol.109 , pp. 465-487
    • Friedrichs, K.1
  • 5
    • 1842783911 scopus 로고    scopus 로고
    • Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators
    • V. KONDRATIEV, V. MAZ'YA, and M. SHUBIN, Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators, Comm. Partial Differential Equations 29 (2004), 489-521.
    • (2004) Comm. Partial Differential Equations , vol.29 , pp. 489-521
    • Kondratiev, V.1    Maz'Ya, V.2    Shubin, M.3
  • 6
    • 0000606193 scopus 로고    scopus 로고
    • Discreteness of spectrum for the Schrödinger operators on manifolds of bounded geometry
    • (dedicated to V. G. Maz'ya 60th anniversary), Birkhäuser Verlag, Basel
    • V. KONDRATIEV and M. SHUBIN, Discreteness of spectrum for the Schrödinger operators on manifolds of bounded geometry, in Operator Theory: Advances and Applications 110 (dedicated to V. G. Maz'ya 60th anniversary), Birkhäuser Verlag, Basel, 1999, 185-226.
    • (1999) Operator Theory: Advances and Applications , vol.110 , pp. 185-226
    • Kondratiev, V.1    Shubin, M.2
  • 7
    • 0000734045 scopus 로고
    • On the theory of the higher-dimensional Schrodinger operator
    • V. G. MAZ'YA, On the theory of the higher-dimensional Schrodinger operator (Russian), Izv. Akad. Nauk SSSR, Ser: Mat. 28 (1964), 1145-1172.
    • (1964) Izv. Akad. Nauk SSSR, Ser: Mat. , vol.28 , pp. 1145-1172
    • Maz'Ya, V.G.1
  • 8
    • 84957153512 scopus 로고
    • The (p, l)-capacity, imbedding theorems and the spectrum of a selfadjoint elliptic operator
    • _, The (p, l)-capacity, imbedding theorems and the spectrum of a selfadjoint elliptic operator, Math. USSR-Izv 7 (1973), 357-387.
    • (1973) Math. USSR-Izv , vol.7 , pp. 357-387
  • 9
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    • Springer-Verlag, Berlin
    • _, Sobolev Spaces, Springer-Verlag, Berlin, 1985.
    • (1985) Sobolev Spaces
  • 10
    • 0000023686 scopus 로고
    • On the discreteness of the spectrum conditions for self-adjoint differential equations of the second order
    • Russian
    • A. M. MOLCHANOV, On the discreteness of the spectrum conditions for self-adjoint differential equations of the second order, Trudy Mosk. Matem. Obshchestva (Proc. Moscow Math. Society) 2 (1953), 169-199 (Russian).
    • (1953) Trudy Mosk. Matem. Obshchestva (Proc. Moscow Math. Society) , vol.2 , pp. 169-199
    • Molchanov, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.