메뉴 건너뛰기




Volumn 45, Issue 6, 2013, Pages 1246-1258

On the profile of sign-changing solutions of an almost critical problem in the ball

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84891920651     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/blms/bdt061     Document Type: Article
Times cited : (15)

References (29)
  • 1
    • 4444270389 scopus 로고    scopus 로고
    • Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
    • A. Aftalion and F. Pacella, 'Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains', C. R. Acad. Sci. Paris 339 (2004) 339-344.
    • (2004) C. R. Acad. Sci. Paris , vol.339 , pp. 339-344
    • Aftalion, A.1    Pacella, F.2
  • 2
    • 84972498579 scopus 로고
    • Problémes isopérimétriques et espaces de Sobolev
    • T. Aubin, 'Problémes isopérimétriques et espaces de Sobolev', J. Differential Geom. 11 (1976) 573-598.
    • (1976) J. Differential Geom. , vol.11 , pp. 573-598
    • Aubin, T.1
  • 3
    • 84990623267 scopus 로고
    • On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain
    • A. Bahri and J. M. Coron, 'On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain', Comm. Pure Appl. Math. 41 (1988) 253-294.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 253-294
    • Bahri, A.1    Coron, J.M.2
  • 4
    • 0003007474 scopus 로고
    • On a variational problem with lack of compactness: The topological effect of the critical points at infinity
    • A. Bahri, Y. Li and O. Rey, 'On a variational problem with lack of compactness: the topological effect of the critical points at infinity', Calc. Var. Partial Differential Equations 3 (1995) 67-93.
    • (1995) Calc. Var. Partial Differential Equations , vol.3 , pp. 67-93
    • Bahri, A.1    Li, Y.2    Rey, O.3
  • 5
    • 0035922965 scopus 로고    scopus 로고
    • Critical point theory on partially ordered Hilbert spaces
    • T. Bartsch, 'Critical point theory on partially ordered Hilbert spaces', J. Funct. Anal. 186 (2001) 117-152.
    • (2001) J. Funct. Anal. , vol.186 , pp. 117-152
    • Bartsch, T.1
  • 6
    • 84888641393 scopus 로고    scopus 로고
    • Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries
    • doi:10.1016/j.anihpc.2013.01.001
    • T. Bartsch, T. D'Aprile and A. Pistoia, 'Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries', Ann. Inst. H. Poincaré Anal. Non Linéaire, doi:10.1016/j.anihpc.2013.01.001.
    • Ann. Inst. H. Poincaré Anal. Non Linéaire
    • Bartsch, T.1    D'Aprile, T.2    Pistoia, A.3
  • 7
    • 33646504149 scopus 로고    scopus 로고
    • On the existence and the profile of nodal solutions of elliptic equations involving critical growth
    • T. Bartsch, A. Micheletti and A. Pistoia, 'On the existence and the profile of nodal solutions of elliptic equations involving critical growth', Calc. Var. Partial Differential Equations 26 (2006) 265-282.
    • (2006) Calc. Var. Partial Differential Equations , vol.26 , pp. 265-282
    • Bartsch, T.1    Micheletti, A.2    Pistoia, A.3
  • 8
    • 0000636235 scopus 로고    scopus 로고
    • On the existence of sign changing solutions for semilinear Dirichlet problems
    • T. Bartsch and Z.-Q. Wang, 'On the existence of sign changing solutions for semilinear Dirichlet problems', Topol. Methods Nonlinear Anal. 7 (1996) 115-131.
    • (1996) Topol. Methods Nonlinear Anal. , vol.7 , pp. 115-131
    • Bartsch, T.1    Wang, Z.-Q.2
  • 9
    • 1642367059 scopus 로고    scopus 로고
    • A note on additional properties of sign changing solutions to superlinear elliptic equations
    • T. Bartsch and T. Weth, 'A note on additional properties of sign changing solutions to superlinear elliptic equations', Topol. Methods Nonlinear Anal. 22 (2003) 1-14.
    • (2003) Topol. Methods Nonlinear Anal. , vol.22 , pp. 1-14
    • Bartsch, T.1    Weth, T.2
  • 10
    • 34547664765 scopus 로고    scopus 로고
    • Classification of low energy sign-changing solutions of an almost critical problem
    • M. Ben Ayed, K. El Mehdi and F. Pacella, 'Classification of low energy sign-changing solutions of an almost critical problem', J. Funct. Anal. 50 (2007) 347-373.
    • (2007) J. Funct. Anal. , vol.50 , pp. 347-373
    • Ben Ayed, M.1    El Mehdi, K.2    Pacella, F.3
  • 12
    • 84990617031 scopus 로고
    • Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth
    • L. Caffarelli, B. Gidas and J. Spruck, 'Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth', Comm. Pure Appl. Math. 42 (1989) 271-297.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 271-297
    • Caffarelli, L.1    Gidas, B.2    Spruck, J.3
  • 14
    • 0036647451 scopus 로고    scopus 로고
    • Multi-peak solutions for super-critical elliptic problems in domains with small holes
    • M. Del Pino, P. Felmer and M. Musso, 'Multi-peak solutions for super-critical elliptic problems in domains with small holes', J. Differential Equations 182 (2002) 511-540.
    • (2002) J. Differential Equations , vol.182 , pp. 511-540
    • Del Pino, M.1    Felmer, P.2    Musso, M.3
  • 15
    • 0038504721 scopus 로고    scopus 로고
    • Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries
    • M. Del Pino, P. Felmer and M. Musso, 'Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries', Bull. London Math. Soc. 35 (2003) 513-521.
    • (2003) Bull. London Math. Soc. , vol.35 , pp. 513-521
    • Del Pino, M.1    Felmer, P.2    Musso, M.3
  • 17
    • 0039462574 scopus 로고    scopus 로고
    • Semilinear dirichlet problem with nearly critical exponent, asymptotic location of hot spots
    • M. Flucher and J. Wei, 'Semilinear Dirichlet problem with nearly critical exponent, asymptotic location of hot spots', Manuscripta Math. 94 (1997) 337-346.
    • (1997) Manuscripta Math. , vol.94 , pp. 337-346
    • Flucher, M.1    Wei, J.2
  • 18
    • 0038244483 scopus 로고
    • Uniqueness of positive solutions of a nonlinear elliptic equation involving the critical Sobolev exponent
    • L. Glangetas, 'Uniqueness of positive solutions of a nonlinear elliptic equation involving the critical Sobolev exponent', Nonlinear Anal. 20 (1993) 571-603.
    • (1993) Nonlinear Anal. , vol.20 , pp. 571-603
    • Glangetas, L.1
  • 19
    • 77952955238 scopus 로고    scopus 로고
    • Nonexistence of multi-bubble solutions to some elliptic equations on convex domains
    • M. Grossi and F. Takahashi, 'Nonexistence of multi-bubble solutions to some elliptic equations on convex domains', J. Funct. Anal. 259 (2010) 904-917.
    • (2010) J. Funct. Anal. , vol.259 , pp. 904-917
    • Grossi, M.1    Takahashi, F.2
  • 20
    • 84903853123 scopus 로고
    • Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
    • Z. C. Han, 'Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent', Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991) 159-174.
    • (1991) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.8 , pp. 159-174
    • Han, Z.C.1
  • 21
    • 84980167932 scopus 로고
    • Remarks on some quasilinear elliptic equations
    • J. Kazdan and F. Warner, 'Remarks on some quasilinear elliptic equations', Comm. Pure Appl. Math. 28 (1975) 567-597.
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 567-597
    • Kazdan, J.1    Warner, F.2
  • 22
    • 73049092939 scopus 로고    scopus 로고
    • Tower of bubbles for almost critical problems in general domains
    • M. Musso and A. Pistoia, 'Tower of bubbles for almost critical problems in general domains', J. Math. Pures Appl. 93 (2010) 1-40.
    • (2010) J. Math. Pures Appl. , vol.93 , pp. 1-40
    • Musso, M.1    Pistoia, A.2
  • 23
    • 35448939343 scopus 로고    scopus 로고
    • Multiplicity of solutions to the supercritical Bahri-Coron's problem in pierced domains
    • A. Pistoia and O. Rey, 'Multiplicity of solutions to the supercritical Bahri-Coron's problem in pierced domains', Adv. Differential Equations 11 (2006) 647-666.
    • (2006) Adv. Differential Equations , vol.11 , pp. 647-666
    • Pistoia, A.1    Rey, O.2
  • 24
    • 33947159050 scopus 로고    scopus 로고
    • Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
    • A. Pistoia and T. Weth, 'Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem, Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007) 325-340.
    • (2007) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.24 , pp. 325-340
    • Pistoia, A.1    Weth, T.2
  • 25
    • 0000514956 scopus 로고
    • On the eigenfunctions of the equation Δu + λf(u) = 0
    • S. I. Pohožaev, 'On the eigenfunctions of the equation Δu + λf(u) = 0', Soviet Math. Dokl. 6 (1965) 1408-1411.
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohožaev, S.I.1
  • 26
    • 0002432857 scopus 로고
    • Proof of two conjectures of H. Brezis and L.A. Peletier
    • O. Rey, 'Proof of two conjectures of H. Brezis and L.A. Peletier', Manuscripta Math. 65 (1989) 19-37.
    • (1989) Manuscripta Math. , vol.65 , pp. 19-37
    • Rey, O.1
  • 27
    • 0002944738 scopus 로고
    • The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
    • O. Rey, 'The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent', J. Funct. Anal. 89 (1990) 1-52.
    • (1990) J. Funct. Anal. , vol.89 , pp. 1-52
    • Rey, O.1
  • 28
    • 84972539471 scopus 로고
    • Blow-up points of solutions to elliptic equations with limiting nonlinearity
    • O. Rey, 'Blow-up points of solutions to elliptic equations with limiting nonlinearity', Differential Integral Equations 4 (1991) 1155-1167.
    • (1991) Differential Integral Equations , vol.4 , pp. 1155-1167
    • Rey, O.1
  • 29
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • G. Talenti, 'Best constant in Sobolev inequality', Ann. Mat. Pura Appl. 110 (1976) 353-372.
    • (1976) Ann. Mat. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.