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Volumn 9, Issue 5-6, 2004, Pages 481-508

Existence and multiplicity for perturbations of an equation involving a hardy inequality and the critical sobolev exponent in the whole of ℝN

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EID: 14644423498     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (39)

References (19)
  • 1
    • 0003288355 scopus 로고
    • Critical points and nonlinear variational problems
    • A. Ambrosetti,. Critical points and nonlinear variational problems, Mém. Soc. Math. France (N.S.), 49 (1992).
    • (1992) Mém. Soc. Math. France (N.S.) , vol.49
    • Ambrosetti, A.1
  • 3
    • 0034693568 scopus 로고    scopus 로고
    • Elliptic variational problems in RN with critical growth
    • A. Ambrosetti, J. García Azorero, and I. Peral,. Elliptic variational problems in RN with critical growth, J. Diff. Equations, 168 (2000), 10-32.
    • (2000) J. Diff. Equations , vol.168 , pp. 10-32
    • Ambrosetti, A.1    García Azorero, J.2    Peral, I.3
  • 4
    • 0002755421 scopus 로고
    • On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
    • G. Bianchi, J. Chabrowski, and A. Szulkin,. On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent, Nonlinear Anal. T.M.A, 25 (1995), 41-59.
    • (1995) Nonlinear Anal. T.M.A , vol.25 , pp. 41-59
    • Bianchi, G.1    Chabrowski, J.2    Szulkin, A.3
  • 5
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equation involving critical exponents
    • H. Brezis, and L. Nirenberg,. Positive solutions of nonlinear elliptic equation involving critical exponents, Comm. Pure. Appl. Math., 36 (1983), no. 4, 437-477.
    • (1983) Comm. Pure. Appl. Math. , vol.36 , Issue.4 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 6
    • 0013181916 scopus 로고    scopus 로고
    • Multiple solutions of nonhomogeneous elliptic equation with critical nonlinearity
    • D. Cao, and J. Chabrowski,. Multiple solutions of nonhomogeneous elliptic equation with critical nonlinearity, Differential Integral Equations, 10 (1997), 797-814.
    • (1997) Differential Integral Equations , vol.10 , pp. 797-814
    • Cao, D.1    Chabrowski, J.2
  • 7
    • 33846703947 scopus 로고    scopus 로고
    • On the number of positive solutions for nonhomogeneous semilinear elliptic problem
    • D. Cao, and J. Chabrowski,. On the number of positive solutions for nonhomogeneous semilinear elliptic problem, Adv. Differential Equations, 1 (1996), 753-772.
    • (1996) Adv. Differential Equations , vol.1 , pp. 753-772
    • Cao, D.1    Chabrowski, J.2
  • 8
    • 0001779115 scopus 로고    scopus 로고
    • Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
    • S. Cingolani, and M. Lazzo,. Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations, Top. Methods Nonlinear Anal., 10 (1997), 1-13.
    • (1997) Top. Methods Nonlinear Anal. , vol.10 , pp. 1-13
    • Cingolani, S.1    Lazzo, M.2
  • 9
    • 0040005737 scopus 로고    scopus 로고
    • Hardy inequalities, and some critical elliptic, and parabolic problems
    • J. García Azorero, and I. Peral,. Hardy inequalities, and some critical elliptic, and parabolic problems, J. Diff. Equations, 144 (1998), 441-476.
    • (1998) J. Diff. Equations , vol.144 , pp. 441-476
    • García Azorero, J.1    Peral, I.2
  • 10
    • 0003732905 scopus 로고
    • Duality, and perturbation methods in critical point theory
    • Cambridge Tracts in Mathematics
    • N. Ghoussoub,. Duality, and perturbation methods in critical point theory, Cambridge Tracts in Mathematics (1993).
    • (1993)
    • Ghoussoub, N.1
  • 11
    • 0038626234 scopus 로고    scopus 로고
    • Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
    • V. Felli, and M. Schneider,. Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type, J. Diff. Equations, 191 (2003), 121-142.
    • (2003) J. Diff. Equations , vol.191 , pp. 121-142
    • Felli, V.1    Schneider, M.2
  • 12
    • 17244372727 scopus 로고
    • Introduction à la Théorie des Points Critiques et Applications aux Problèmes Elliptiques
    • Springer-Verlag, Paris
    • O. Kavian,. "Introduction à la Théorie des Points Critiques et Applications aux Problèmes Elliptiques," Mathématiques & Applications, 13, Springer-Verlag, Paris, 1993.
    • (1993) Mathématiques & Applications , vol.13
    • Kavian, O.1
  • 13
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case
    • P.L. Lions,. The concentration-compactness principle in the calculus of variations. The limit case, part 1, Rev. Matemática Iberoamericana, 1 (1985), 145-201.
    • (1985) part Rev. Matemática Iberoamericana, 1 , vol.1 , pp. 145-201
    • Lions, P.L.1
  • 14
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case
    • P.L. Lions,. The concentration-compactness principle in the calculus of variations. The limit case, part 2, Rev. Matemática Iberoamericana, 1 (1985), 45-121.
    • (1985) part Rev. Matemática Iberoamericana, 1 , vol.2 , pp. 45-121
    • Lions, P.L.1
  • 15
    • 0001467876 scopus 로고    scopus 로고
    • multiple positive solutions of a scalar field equation in RN
    • R. Musina,. multiple positive solutions of a scalar field equation in RN, Top. Methods Nonlinear Anal., 7 (1996), 171-186.
    • (1996) Top. Methods Nonlinear Anal. , vol.7 , pp. 171-186
    • Musina, R.1
  • 16
    • 84894307623 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equations with Hardy potential, and critical nonlinearities
    • to appear
    • D. Smets,. Nonlinear Schrödinger equations with Hardy potential, and critical nonlinearities, Trans. Amer. Math. Soc., to appear.
    • Trans. Amer. Math. Soc.
    • Smets, D.1
  • 17
    • 85013168104 scopus 로고
    • On nonhomogeneous elliptic equations involving critical Sobolev exponent
    • G. Tarantello,. On nonhomogeneous elliptic equations involving critical Sobolev exponent, Ann. Inst. H. Poincaré Anal. Non Linéaire, 9 (1992), 281-304.
    • (1992) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.9 , pp. 281-304
    • Tarantello, G.1
  • 18
    • 0000155087 scopus 로고    scopus 로고
    • On positive entire solutions to a class of equations with singular coefficient, and critical exponent
    • S. Terracini,. On positive entire solutions to a class of equations with singular coefficient, and critical exponent, Adv. Diff. Equa., 1 (1996), 241-264.
    • (1996) Adv. Diff. Equa. , vol.1 , pp. 241-264
    • Terracini, S.1


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