메뉴 건너뛰기




Volumn 15, Issue 4, 2002, Pages 421-431

Least energy solutions of a critical Neumann problem with a weight

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036974699     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-002-0101-0     Document Type: Article
Times cited : (28)

References (20)
  • 1
    • 0002199454 scopus 로고
    • The Neumann problem for elliptic equations with critical nonlinearity, A tribute in honour of G. Prodi
    • Adimurthi, G. Mancini, The Neumann problem for elliptic equations with critical nonlinearity, A tribute in honour of G. Prodi, Scuola Norm. Sup. Pisa (1991) 9-25
    • (1991) Scuola Norm. Sup. Pisa , pp. 9-25
    • Adimurthi, G.M.1
  • 2
    • 0002356162 scopus 로고
    • Effect of geometry and topology of the boundary in critical Neumann problem
    • Adimurthi, G. Mancini, Effect of geometry and topology of the boundary in critical Neumann problem, J. Reine Angew. Math. 456 (1994) 1-18
    • (1994) J. Reine Angew. Math. , vol.456 , pp. 1-18
    • Adimurthi, G.M.1
  • 3
    • 0000437039 scopus 로고
    • The role of the mean curvature in semilinear Neumann problem involving critical exponent
    • Adimurthi, G. Mancini, S.L. Yadava, The role of the mean curvature in semilinear Neumann problem involving critical exponent, Commun. in Partial Diff. Equations 20 (1995) 591-631
    • (1995) Commun. in Partial Diff. Equations , vol.20 , pp. 591-631
    • Adimurthi, G.M.1    Yadava, S.L.2
  • 4
    • 43949176286 scopus 로고
    • Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
    • Adimurthi, F. Pacella, S.L. Yadava, Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity, J. Funct. Anal. 113 (1993) 318-350
    • (1993) J. Funct. Anal. , vol.113 , pp. 318-350
    • Adimurthi, F.P.1    Yadava, S.L.2
  • 5
    • 0013038119 scopus 로고
    • n (n ≥ 4) with Neumann boundary condition
    • n (n ≥ 4) with Neumann boundary condition, Proc. Indian Acad. Sci, 100 (1990) 275-281
    • (1990) Proc. Indian Acad. Sci , vol.100 , pp. 275-281
    • Adimurthi, S.L.Y.1
  • 6
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. Brezis, L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Commun. Pure Appl. Math. 36 (1983) 437-477
    • (1983) Commun. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 7
    • 0032194927 scopus 로고    scopus 로고
    • Multi-peak solutions for semilinear Neumann problem involving the critical Sobolev exponent
    • C. Gui, N. Ghoussoub, Multi-peak solutions for semilinear Neumann problem involving the critical Sobolev exponent, Math. Z. 229 (1998) 443-474
    • (1998) Math. Z. , vol.229 , pp. 443-474
    • Gui, C.1    Ghoussoub, N.2
  • 8
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemotaxis system
    • C.S. Lin, W.M. Ni, I. Takagi, Large amplitude stationary solutions to a chemotaxis system, J. Diff. Equations 72 (1988) 1-27
    • (1988) J. Diff. Equations , vol.72 , pp. 1-27
    • Lin, C.S.1    Ni, W.M.2    Takagi, I.3
  • 9
    • 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, Revista Mat. Iberoamericana 1 (1985), n°1, 145-201, n°2, 45-120
    • (1985) Revista Mat. Iberoamericana , vol.1 , Issue.1 , pp. 145-201
    • Lions, P.L.1
  • 10
    • 0012982592 scopus 로고
    • Best constants in Sobolev inequalities for functions vanishing on some part of the boundary and related questions
    • P.L. Lions, F. Pacella, M. Tricarico, Best constants in Sobolev inequalities for functions vanishing on some part of the boundary and related questions, Indiana Univ. Math. J. 37 (1988) 301-324
    • (1988) Indiana Univ. Math. J. , vol.37 , pp. 301-324
    • Lions, P.L.1    Pacella, F.2    Tricarico, M.3
  • 11
    • 84973998562 scopus 로고
    • Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
    • W.-M. Ni, X.-B. Pan, I. Takagi, Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents, Duke Math. J. 67 (1992) 1-20
    • (1992) Duke Math. J. , vol.67 , pp. 1-20
    • Ni, W.-M.1    Pan, X.-B.2    Takagi, I.3
  • 12
    • 84990581933 scopus 로고
    • On the shape of least energy solutions to a semilinear Neumann problem
    • N.-M. Ni, I. Takagi, On the shape of least energy solutions to a semilinear Neumann problem, Commun. Pure Appl. Math. 44 (1991) 819-851
    • (1991) Commun. Pure Appl. Math. , vol.44 , pp. 819-851
    • Ni, N.-M.1    Takagi, I.2
  • 13
    • 84971179248 scopus 로고
    • Locating the peaks of least energy solutions to a semilinear Neumann problem
    • N.-M. Ni, I. Takagi, Locating the peaks of least energy solutions to a semilinear Neumann problem, Duke Math. J. 72 (1993) 247-281
    • (1993) Duke Math. J. , vol.72 , pp. 247-281
    • Ni, N.-M.1    Takagi, I.2
  • 14
    • 0000514956 scopus 로고
    • Eigenfunctions of the equation Δu + λf(u) = 0
    • S. Pohozaev, Eigenfunctions of the equation Δu + λf(u) = 0, Soviet Math. Dokl. 6 (1965) 1408-1411
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohozaev, S.1
  • 15
    • 0001173375 scopus 로고
    • Neumann problem of semilinear elliptic equations involving critical Sobolev exponents
    • X.J. Wang, Neumann problem of semilinear elliptic equations involving critical Sobolev exponents, J. Diff. Equations 93 (1991) 283-310
    • (1991) J. Diff. Equations , vol.93 , pp. 283-310
    • Wang, X.J.1
  • 16
    • 84973975136 scopus 로고
    • High-energy and multi-peaked solutions for a nonlinear Neumann problem with critical exponents
    • Z.Q. Wang, High-energy and multi-peaked solutions for a nonlinear Neumann problem with critical exponents Proc. Roy. Soc. of Edinburgh 125A (1995) 1013-1029
    • (1995) Proc. Roy. Soc. of Edinburgh , vol.125 A , pp. 1013-1029
    • Wang, Z.Q.1
  • 17
    • 84972510204 scopus 로고
    • The effect of the domain geometry on the number of positive solutions of Neumann problems with critical exponents
    • Z.Q. Wang, The effect of the domain geometry on the number of positive solutions of Neumann problems with critical exponents, Diff. Int. Equations 8 (1995) 1533-1554
    • (1995) Diff. Int. Equations , vol.8 , pp. 1533-1554
    • Wang, Z.Q.1
  • 18
    • 0000610793 scopus 로고    scopus 로고
    • Existence and nonexistence of G-least energy solutions for a nonlinear Neumann problem with critical exponent in symmetric domains
    • Z.Q. Wang, Existence and nonexistence of G-least energy solutions for a nonlinear Neumann problem with critical exponent in symmetric domains, Calc. Var. 8 (1999) 109-122
    • (1999) Calc. Var. , vol.8 , pp. 109-122
    • Wang, Z.Q.1
  • 19
    • 0001279483 scopus 로고
    • Remarks on a nonlinear Neumann problem with critical exponent
    • Z.Q. Wang, Remarks on a nonlinear Neumann problem with critical exponent, Houston J. Math. 20 (1994) 671-694
    • (1994) Houston J. Math. , vol.20 , pp. 671-694
    • Wang, Z.Q.1
  • 20
    • 0003153589 scopus 로고    scopus 로고
    • Sobolev inequalities with interior norms
    • M. Zhu, Sobolev inequalities with interior norms, Calc. Var. 8 (1999) 27-43
    • (1999) Calc. Var. , vol.8 , pp. 27-43
    • Zhu, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.