메뉴 건너뛰기




Volumn 32, Issue 4, 2008, Pages 453-480

Fast and slow decay solutions for supercritical elliptic problems in exterior domains

Author keywords

[No Author keywords available]

Indexed keywords


EID: 43949136700     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-007-0154-1     Document Type: Article
Times cited : (52)

References (18)
  • 1
    • 84990623267 scopus 로고
    • On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain
    • Bahri, A., Coron, J.M.: On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain. Commun. Pure Appl. Math. 41, 255-294 (1988)
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 255-294
    • Bahri, A.1    Coron, J.M.2
  • 2
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • Brezis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Commun. Pure Appl. Math. 36, 437-447 (1983)
    • (1983) Commun. Pure Appl. Math. , vol.36 , pp. 437-447
    • Brezis, H.1    Nirenberg, L.2
  • 3
    • 33646872320 scopus 로고
    • Minimal surfaces with isolated singularities
    • 1-3
    • Caffarelli, L., Hardt, R., Simon, L.: Minimal surfaces with isolated singularities. Manuscr. Math. 48(1-3), 1-18 (1984)
    • (1984) Manuscr. Math. , vol.48 , pp. 1-18
    • Caffarelli, L.1    Hardt, R.2    Simon, L.3
  • 4
    • 0000206097 scopus 로고
    • Topologie et cas limite des injections de Sobolev
    • Coron, J.M.: Topologie et cas limite des injections de Sobolev. C. R. Acad. Sci. Paris Ser. I 299, 209-212 (1984)
    • (1984) C. R. Acad. Sci. Paris Ser. i , vol.299 , pp. 209-212
    • Coron, J.M.1
  • 5
    • 34548317030 scopus 로고    scopus 로고
    • The supercritical Lane-Emden-Fowler equation in exterior domains
    • Dávila, J., del Pino, M., Musso, M.: The supercritical Lane-Emden-Fowler equation in exterior domains. Commun. Partial Differ. Equ. 32, 1225-1243 (2007)
    • (2007) Commun. Partial Differ. Equ. , vol.32 , pp. 1225-1243
    • Dávila, J.1    Del Pino, M.2    Musso, M.3
  • 6
    • 33947582026 scopus 로고    scopus 로고
    • Standing waves for supercritical nonlinear Schrödinger equations
    • 1
    • Dávila, J., del Pino, M., Musso, M., Wei, J.: Standing waves for supercritical nonlinear Schrödinger equations. J. Differ. Equ. 236(1), 164-198 (2007)
    • (2007) J. Differ. Equ. , vol.236 , pp. 164-198
    • Dávila, J.1    Del Pino, M.2    Musso, M.3    Wei, J.4
  • 7
    • 0038306934 scopus 로고    scopus 로고
    • Two-bubble solutions in the super-critical Bahri-Coron's problem
    • 2
    • del Pino, M., Felmer, P., Musso, M.: Two-bubble solutions in the super-critical Bahri-Coron's problem. Calc. Var. Partial Differ. Equ. 16(2), 113-145 (2003)
    • (2003) Calc. Var. Partial Differ. Equ. , vol.16 , pp. 113-145
    • Del Pino, M.1    Felmer, P.2    Musso, M.3
  • 8
    • 0036647451 scopus 로고    scopus 로고
    • Multi-peak solutions for super-critical elliptic problems in domains with small holes
    • 2
    • del Pino, M., Felmer, P., Musso, M.: Multi-peak solutions for super-critical elliptic problems in domains with small holes. J. Differ. Equ. 182(2), 511-540 (2002)
    • (2002) J. Differ. Equ. , vol.182 , pp. 511-540
    • Del Pino, M.1    Felmer, P.2    Musso, M.3
  • 9
    • 0001508926 scopus 로고
    • Further studies on Emden's and similar differential equations
    • Fowler, R.H.: Further studies on Emden's and similar differential equations. Q. J. Math. 2, 259-288 (1931)
    • (1931) Q. J. Math. , vol.2 , pp. 259-288
    • Fowler, R.H.1
  • 10
    • 14644431008 scopus 로고    scopus 로고
    • Bubble towers for supercritical semilinear elliptic equations
    • 2
    • Ge, Y., Jing, R., Pacard, F.: Bubble towers for supercritical semilinear elliptic equations. J. Funct. Anal. 221(2), 251-302 (2005)
    • (2005) J. Funct. Anal. , vol.221 , pp. 251-302
    • Ge, Y.1    Jing, R.2    Pacard, F.3
  • 12
    • 84980167932 scopus 로고
    • Remarks on some quasilinear elliptic equations
    • 5
    • Kazdan, J., Warner, F.: Remarks on some quasilinear elliptic equations. Commun. Pure Appl. Math. 28(5), 567-597 (1975)
    • (1975) Commun. Pure Appl. Math. , vol.28 , pp. 567-597
    • Kazdan, J.1    Warner, F.2
  • 13
    • 0001762459 scopus 로고    scopus 로고
    • A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
    • 2
    • Mazzeo, R., Pacard, F.: A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis. J. Differ. Geom. 44(2), 331-370 (1996)
    • (1996) J. Differ. Geom. , vol.44 , pp. 331-370
    • Mazzeo, R.1    Pacard, F.2
  • 14
    • 2442691792 scopus 로고    scopus 로고
    • On the effect of the domain geometry on the existence of sign changing solutions to elliptic problems with critical and supercritical growth
    • 3
    • Micheletti, A., Pistoia, A.: On the effect of the domain geometry on the existence of sign changing solutions to elliptic problems with critical and supercritical growth. Nonlinearity 17(3), 851-866 (2004)
    • (2004) Nonlinearity , vol.17 , pp. 851-866
    • Micheletti, A.1    Pistoia, A.2
  • 15
    • 38249001987 scopus 로고
    • Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
    • 1
    • Passaseo, D.: Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains. J. Funct. Anal. 114(1), 97-105 (1993)
    • (1993) J. Funct. Anal. , vol.114 , pp. 97-105
    • Passaseo, D.1
  • 16
    • 0001500214 scopus 로고    scopus 로고
    • Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains
    • 2
    • Passaseo, D.: Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains. Duke Math. J. 92(2), 429-457 (1998)
    • (1998) Duke Math. J. , vol.92 , pp. 429-457
    • Passaseo, D.1
  • 17
    • 0000514956 scopus 로고
    • Eigenfunctions of the equation Δu + λ f (u) = 0
    • Pohozaev, S.: Eigenfunctions of the equation Δu + λ f (u) = 0. Sov. Math. Dokl. 6, 1408-1411 (1965)
    • (1965) Sov. Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohozaev, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.