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Volumn 86, Issue 1, 2006, Pages 79-89

Simplicity of principal eigenvalue for p-Laplace operator with singular indefinite weight

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EID: 33644882494     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-005-1512-x     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 0032091443 scopus 로고    scopus 로고
    • A Picone's identity for the p-Laplacian and applications
    • W. ALLEGRETTO and Y. X. HUANG, A Picone's identity for the p-Laplacian and applications. Nonlinear Anal. 32, 819-830 (1998).
    • (1998) Nonlinear Anal. , vol.32 , pp. 819-830
    • Allegretto, W.1    Huang, Y.X.2
  • 2
    • 0000623205 scopus 로고
    • Simplicité et isolation de la première valeur propre du p-laplacien avec poids
    • A. ANANE, Simplicité et isolation de la première valeur propre du p-laplacien avec poids. C. R. Acad. Sci. Paris Ser. I Math. 305, 725-728 (1987).
    • (1987) C. R. Acad. Sci. Paris Ser. I Math. , vol.305 , pp. 725-728
    • Anane, A.1
  • 3
    • 1642315781 scopus 로고
    • Une propriété d'invariance des ensembles absorbants par perturbation d'un opérateur elliptique
    • A. ANCONA, Une propriété d'invariance des ensembles absorbants par perturbation d'un opérateur elliptique. Comm. Partial Differential Equations 4, 321-337 (1979).
    • (1979) Comm. Partial Differential Equations , vol.4 , pp. 321-337
    • Ancona, A.1
  • 4
    • 0035981363 scopus 로고    scopus 로고
    • A direct uniqueness proof for equations involving the p-Laplace operator
    • M. BELLONI and B. KAWOHL, A direct uniqueness proof for equations involving the p-Laplace operator. Manuscripta Math. 109, 229-231 (2002).
    • (2002) Manuscripta Math. , vol.109 , pp. 229-231
    • Belloni, M.1    Kawohl, B.2
  • 6
    • 0037607869 scopus 로고    scopus 로고
    • Eigenvalue problems for the p-Laplacian with indefinite weights
    • M. CUESTA, Eigenvalue problems for the p-Laplacian with indefinite weights. Electron. J. Differential Equations 33, 1-9 (2001).
    • (2001) Electron. J. Differential Equations , vol.33 , pp. 1-9
    • Cuesta, M.1
  • 13
    • 0001438723 scopus 로고
    • Un'estensione della teoria variazionale classica degli autovalori per operatori ellitici del secondo ordine
    • A. MANES and A. M. MICHELETTI, Un'estensione della teoria variazionale classica degli autovalori per operatori ellitici del secondo ordine. Boll. U.M.I. 7, 285-301 (1973).
    • (1973) Boll. U.M.I. , vol.7 , pp. 285-301
    • Manes, A.1    Micheletti, A.M.2
  • 14
    • 0000207482 scopus 로고    scopus 로고
    • Eigenvalue problems with indefinite weight
    • A. SZULKIN and M. WILLEM, Eigenvalue problems with indefinite weight. Studia Math. 135, 191-201 (1999).
    • (1999) Studia Math. , vol.135 , pp. 191-201
    • Szulkin, A.1    Willem, M.2
  • 15
    • 0003320023 scopus 로고
    • Weakly differentiable functions. Sobolev spaces and functions of bounded variation
    • New York
    • W. P. ZIEMER, Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts Math. 120, New York 1989.
    • (1989) Graduate Texts Math. , vol.120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.