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Volumn 8, Issue 4, 2008, Pages 781-812

Semilinear elliptic equations and systems with diffuse measures

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[No Author keywords available]

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EID: 56749173560     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-008-0446-32     Document Type: Article
Times cited : (24)

References (17)
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  • 3
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    • H. BREZIS, M. MARCUS, and A. C. PONCE, Nonlinear elliptic equations with measures revisited. In: Mathematical Aspects of Nonlinear Dispersive Equations (J. Bourgain, C. Kenig, and S. Klainerman, eds.), Annals of Mathematics Studies, 163, Princeton University Press, Princeton, NJ, 2007, pp. 55-110.
    • H. BREZIS, M. MARCUS, and A. C. PONCE, Nonlinear elliptic equations with measures revisited. In: Mathematical Aspects of Nonlinear Dispersive Equations (J. Bourgain, C. Kenig, and S. Klainerman, eds.), Annals of Mathematics Studies, 163, Princeton University Press, Princeton, NJ, 2007, pp. 55-110.
  • 5
    • 1842502035 scopus 로고    scopus 로고
    • Kato's inequality when Δu is a measure
    • Ser. I
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    • Reduced measures for obstacle problems
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    • (2005) Adv. Diff. Eq , vol.10 , pp. 1201-1234
    • BREZIS, H.1    PONCE, A.C.2
  • 8
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    • Wiener criteria and energy decay for relaxed Dirichlet problems
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    • (1986) Arch. Rational Mech. Anal , vol.95 , pp. 345-387
    • DAL MASO, G.1    MOSCO, U.2
  • 9
    • 0003346795 scopus 로고
    • Measure theory and fine properties of functions
    • CRC Press, Boca Raton, FL
    • L. C. EVANS and R. F. GARIEPY, Measure theory and fine properties of functions. Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1992.
    • (1992) Studies in Advanced Mathematics
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  • 11
    • 84971185291 scopus 로고    scopus 로고
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  • 13
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    • A system of elliptic equations arising in Chern-Simons field theory
    • C.-S. LIN, A. C. PONCE, and Y. YANG, A system of elliptic equations arising in Chern-Simons field theory. J. Funct. Anal. 247 (2007), 289-350.
    • (2007) J. Funct. Anal , vol.247 , pp. 289-350
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  • 14
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    • Existence and regularity results for relaxed Dirichlet problems with measure data
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  • 15
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    • Reduced limits for nonlinear equations with measures
    • In preparation
    • M. MARCUS and A. C. PONCE, Reduced limits for nonlinear equations with measures. In preparation.
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    • The sub-supersolution method for weak solutions
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    • MONTENEGRO, M.1    PONCE, A.C.2
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    • G. STAMPACCHIA, Équations elliptiques du second ordre à coefficients discontinus. Séminaire de Mathématiques Supérieures, no. 16 (été, 1965), Les Presses de l'Université de Montréal, Montréal, Québec, 1966.
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