메뉴 건너뛰기




Volumn 184, Issue 3, 2005, Pages 297-314

Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 24944466178     PISSN: 03733114     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10231-004-0114-8     Document Type: Article
Times cited : (16)

References (24)
  • 1
    • 54649085022 scopus 로고    scopus 로고
    • Asymmetric bound states of differential equations in nonlinear optics
    • Ambrosetti, A., Arcoya, D., Gamez, J.L.: Asymmetric bound states of differential equations in nonlinear optics. Rend. Semin. Mat. Univ. Padova 100, 231-247 (1998)
    • (1998) Rend. Semin. Mat. Univ. Padova , vol.100 , pp. 231-247
    • Ambrosetti, A.1    Arcoya, D.2    Gamez, J.L.3
  • 3
    • 0033211947 scopus 로고    scopus 로고
    • Asymmetric modes in symmetric nonlinear optical wave guides
    • Arcoya, D., Cingolani, S., Gamez, J.L.: Asymmetric modes in symmetric nonlinear optical wave guides. SIAM J. Math. Anal. 30, 1391-1400 (1999)
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 1391-1400
    • Arcoya, D.1    Cingolani, S.2    Gamez, J.L.3
  • 4
    • 0000482673 scopus 로고    scopus 로고
    • Continuous rearrangement and symmetry of solutions of elliptic problems
    • Brock, F.: Continuous rearrangement and symmetry of solutions of elliptic problems. Proc. Indian Acad. Sci., Math. Sci. 110, 157-204 (2000)
    • (2000) Proc. Indian Acad. Sci., Math. Sci. , vol.110 , pp. 157-204
    • Brock, F.1
  • 5
    • 0242423155 scopus 로고    scopus 로고
    • A general rearrangement inequality à la Hardy-Littlewood
    • Brock, F.: A general rearrangement inequality à la Hardy-Littlewood. J. Inequal. Appl. 5, 309-320 (2000)
    • (2000) J. Inequal. Appl. , vol.5 , pp. 309-320
    • Brock, F.1
  • 7
    • 84990614227 scopus 로고
    • Nonsymmetric ground states of symmetric variational problems
    • Esteban, M.J.: Nonsymmetric ground states of symmetric variational problems. Commun. Pure Appl. Math. 44, 259-274 (1991)
    • (1991) Commun. Pure Appl. Math. , vol.44 , pp. 259-274
    • Esteban, M.J.1
  • 10
    • 24944588038 scopus 로고    scopus 로고
    • Symmetrization inequalities for composition operators of Carathéodory type
    • To appear in
    • Hajaiej, H., Stuart, C.A.: Symmetrization inequalities for composition operators of Carathéodory type. To appear in Proc. Lond. Math. Soc.
    • Proc. Lond. Math. Soc.
    • Hajaiej, H.1    Stuart, C.A.2
  • 12
    • 0031144392 scopus 로고    scopus 로고
    • Existence of solutions with prescribed norm for semilinear elliptic equations
    • Jeanjean, L.: Existence of solutions with prescribed norm for semilinear elliptic equations. Nonlinear Anal, Theory Methods Appl. 28, 1633-1659 (1997)
    • (1997) Nonlinear Anal, Theory Methods Appl. , vol.28 , pp. 1633-1659
    • Jeanjean, L.1
  • 14
    • 0003764212 scopus 로고
    • Introduction À la théorie des points critiques
    • Berlin: Springer
    • Kavian, O.: Introduction à la théorie des points critiques. Série mathématiques et Applications 13. Berlin: Springer 1993
    • (1993) Série Mathématiques et Applications , vol.13
    • Kavian, O.1
  • 15
    • 0242506431 scopus 로고
    • On rearrangements, symmetrization and maximum principles
    • Berlin: Springer
    • Kawohl, B.: On rearrangements, symmetrization and maximum principles. Lect. Notes Math., vol. 1150. Berlin: Springer 1985
    • (1985) Lect. Notes Math. , vol.1150
    • Kawohl, B.1
  • 17
    • 0000540347 scopus 로고
    • Existence of solitary waves in higher dimensions
    • Strauss, W.A.: Existence of solitary waves in higher dimensions. Commun. Math. Phys. 55, 149-162 (1977)
    • (1977) Commun. Math. Phys. , vol.55 , pp. 149-162
    • Strauss, W.A.1
  • 18
    • 0011673489 scopus 로고
    • p on an unbounded symmetrical domain
    • p on an unbounded symmetrical domain. Math. Ann. 26, 51-59 (1983)
    • (1983) Math. Ann. , vol.26 , pp. 51-59
    • Stuart, C.A.1
  • 19
    • 0000341557 scopus 로고
    • Bifurcation for Dirichlet problems without eigenvalues
    • Stuart, C. A.: Bifurcation for Dirichlet problems without eigenvalues. Proc. Lond. Math. Soc. 45, 169-192 (1982)
    • (1982) Proc. Lond. Math. Soc. , vol.45 , pp. 169-192
    • Stuart, C.A.1
  • 20
    • 84988159302 scopus 로고
    • Bifurcation from the essential spectrum for some non-compact nonlinearities
    • Stuart, C.A.: Bifurcation from the essential spectrum for some non-compact nonlinearities. Math. Methods Appl. Sci. 11, 525-542 (1989)
    • (1989) Math. Methods Appl. Sci. , vol.11 , pp. 525-542
    • Stuart, C.A.1
  • 21
    • 21344492821 scopus 로고
    • Guidance properties of planar wave guides
    • Stuart, C.A.: Guidance properties of planar wave guides. Arch. Ration. Mech. Anal. 125, 145-200 (1993)
    • (1993) Arch. Ration. Mech. Anal. , vol.125 , pp. 145-200
    • Stuart, C.A.1
  • 24
    • 84945016371 scopus 로고
    • Minimal rearrangements of Sobolev functions
    • Brothers, J.E., Ziemer, W.P.: Minimal rearrangements of Sobolev functions. J. Reine Angew. Math. 384, 153-179 (1988)
    • (1988) J. Reine Angew. Math. , vol.384 , pp. 153-179
    • Brothers, J.E.1    Ziemer, W.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.