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Volumn 102, Issue 2, 2014, Pages 315-337

Quasilinear Lane-Emden equations with absorption and measure data

Author keywords

Borel measures; Lorentz spaces; Lorentz Bessel capacities; Maximal functions; Quasilinear elliptic equations; Wolff potential

Indexed keywords


EID: 84903821591     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2013.11.011     Document Type: Article
Times cited : (33)

References (18)
  • 2
    • 0000269824 scopus 로고
    • Singularités éliminables pour des équations semi linéaires
    • Baras P., Pierre M. Singularités éliminables pour des équations semi linéaires. Ann. Inst. Fourier 1984, 34:185-206.
    • (1984) Ann. Inst. Fourier , vol.34 , pp. 185-206
    • Baras, P.1    Pierre, M.2
  • 3
    • 84903815381 scopus 로고    scopus 로고
    • Nonlinear problems related to the Thomas-Fermi equation, unpublished paper, see [7].
    • Ph. Benilan, H. Brezis, Nonlinear problems related to the Thomas-Fermi equation, unpublished paper, see [7].
    • Benilan, P.H.1    Brezis, H.2
  • 4
    • 32044470938 scopus 로고    scopus 로고
    • Necessary conditions of existence for an elliptic equation with source term and measure data involving p-Laplacian
    • Proc. 2001 Luminy Conf. on Quasilinear Elliptic and Parabolic Equations and Systems
    • Bidaut-Véron M.F. Necessary conditions of existence for an elliptic equation with source term and measure data involving p-Laplacian. Elect. J. Diff. Equ. Conf. 2002, 8:23-34.
    • (2002) Elect. J. Diff. Equ. Conf. , vol.8 , pp. 23-34
    • Bidaut-Véron, M.F.1
  • 5
    • 33750849999 scopus 로고    scopus 로고
    • Removable singularities and existence for a quasilinear equation with absorption or source term and measure data
    • Bidaut-Véron M.F. Removable singularities and existence for a quasilinear equation with absorption or source term and measure data. Adv. Nonlinear Stud. 2003, 3:25-63.
    • (2003) Adv. Nonlinear Stud. , vol.3 , pp. 25-63
    • Bidaut-Véron, M.F.1
  • 6
    • 0030360191 scopus 로고    scopus 로고
    • Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
    • Boccardo L., Galouet T., Orsina L. Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Ann. Inst. Henri Poincaré, Anal. Non Linéaire 1996, 13:539-555.
    • (1996) Ann. Inst. Henri Poincaré, Anal. Non Linéaire , vol.13 , pp. 539-555
    • Boccardo, L.1    Galouet, T.2    Orsina, L.3
  • 7
    • 0009945027 scopus 로고
    • Some variational problems of the Thomas-Fermi type
    • Wiley, Chichester, R.W. Cottle, F. Giannessi, J.L. Lions (Eds.)
    • Brezis H. Some variational problems of the Thomas-Fermi type. Variational Inequalities 1980, 53-73. Wiley, Chichester. R.W. Cottle, F. Giannessi, J.L. Lions (Eds.).
    • (1980) Variational Inequalities , pp. 53-73
    • Brezis, H.1
  • 8
    • 0010823682 scopus 로고
    • On the integral representation of certain local functionals
    • Dal Maso G. On the integral representation of certain local functionals. Ric. Mat. 1983, 32:85-113.
    • (1983) Ric. Mat. , vol.32 , pp. 85-113
    • Dal Maso, G.1
  • 10
    • 0010467921 scopus 로고
    • Topologies fines et compactifications associées à certains espaces de Dirichlet
    • Feyel D., de la Pradelle A. Topologies fines et compactifications associées à certains espaces de Dirichlet. Ann. Inst. Fourier 1977, 27:121-146.
    • (1977) Ann. Inst. Fourier , vol.27 , pp. 121-146
    • Feyel, D.1    de la Pradelle, A.2
  • 11
    • 67349148922 scopus 로고    scopus 로고
    • Classical Fourier Analysis
    • Springer-Verlag
    • Grafakos L. Classical Fourier Analysis. Grad. Texts Math. 2008, vol. 249. Springer-Verlag. 2nd ed.
    • (2008) Grad. Texts Math. , vol.249
    • Grafakos, L.1
  • 12
    • 84866128678 scopus 로고    scopus 로고
    • On the good-λ inequality for nonlinear potentials
    • Honzik P., Jaye B. On the good-λ inequality for nonlinear potentials. Proc. Am. Math. Soc. 2012, 140:4167-4180.
    • (2012) Proc. Am. Math. Soc. , vol.140 , pp. 4167-4180
    • Honzik, P.1    Jaye, B.2
  • 13
    • 59849091075 scopus 로고    scopus 로고
    • Quasilinear and Hessian equations of Lane-Emden type
    • Phuc N.C., Verbitsky I.E. Quasilinear and Hessian equations of Lane-Emden type. Ann. Math. 2008, 168:859-914.
    • (2008) Ann. Math. , vol.168 , pp. 859-914
    • Phuc, N.C.1    Verbitsky, I.E.2
  • 16
    • 0003268894 scopus 로고    scopus 로고
    • Singularities of Solutions of Second Order Quasilinear Equations
    • Adison Wesley, Longman
    • Véron L. Singularities of Solutions of Second Order Quasilinear Equations. Pitman Res. Notes in Math. Ser. 1996, vol. 353. Adison Wesley, Longman.
    • (1996) Pitman Res. Notes in Math. Ser. , vol.353
    • Véron, L.1
  • 17
    • 33847723977 scopus 로고    scopus 로고
    • Elliptic equations involving measures
    • North-Holland, Amsterdam, Stationary Partial Differential Equations, vol. I
    • Véron L. Elliptic equations involving measures. Handb. Differ. Equ. 2004, 593-712. North-Holland, Amsterdam.
    • (2004) Handb. Differ. Equ. , pp. 593-712
    • Véron, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.