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Volumn 7, Issue 4, 2005, Pages 463-481

Symmetrization and minimax principles

Author keywords

Elliptic partial differential equations; Linking theorem; Minimax theorems; Polarization; Symmetrization; Symmetry of solutions

Indexed keywords


EID: 24144478505     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199705001817     Document Type: Article
Times cited : (42)

References (15)
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    • Academic Press, London
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    • (1989) Symposia Mathematica , vol.30 , pp. 89-102
    • Almgren Jr., F.J.1    Lieb, E.H.2
  • 2
    • 85047233264 scopus 로고    scopus 로고
    • Partial symmetry of least energy nodal solutions to some variational problems
    • to appear in
    • T. Bartsch, T. Weth and M. Willem, Partial symmetry of least energy nodal solutions to some variational problems, to appear in J. Anal. Math.
    • J. Anal. Math.
    • Bartsch, T.1    Weth, T.2    Willem, M.3
  • 3
    • 0000482673 scopus 로고    scopus 로고
    • Continuous rearrangement and symmetry of solutions of elliptic problems
    • F. Brock, Continuous rearrangement and symmetry of solutions of elliptic problems, Proc. Indian Acad. Sci. Math. Sci. 110(2) (2000) 157-204.
    • (2000) Proc. Indian Acad. Sci. Math. Sci. , vol.110 , Issue.2 , pp. 157-204
    • Brock, F.1
  • 4
    • 23044519317 scopus 로고    scopus 로고
    • An approach to symmetrization via polarization
    • F. Brock and A. Y. Solynin, An approach to symmetrization via polarization, Trans. Amer. Math. Soc. 352(4) (2000) 1759-1796.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.4 , pp. 1759-1796
    • Brock, F.1    Solynin, A.Y.2
  • 7
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. Gidas, W. M. Ni and L. Nirenberg, Symmetry and related properties via the maximum principle, Commun. Math. Phys. 68(3) (1979) 209-243.
    • (1979) Commun. Math. Phys. , vol.68 , Issue.3 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 8
    • 34249835055 scopus 로고
    • On a class of nonlinear Schrödinger equations
    • P. H. Rabinowitz, On a class of nonlinear Schrödinger equations, Z. Angew. Math. Phys. 43(2) (1992) 270-291.
    • (1992) Z. Angew. Math. Phys. , vol.43 , Issue.2 , pp. 270-291
    • Rabinowitz, P.H.1
  • 9
    • 0037932537 scopus 로고
    • Symmetrization of condensers in n-space
    • J. Sarvas, Symmetrization of condensers in n-space, Ann. Acad. Sci. Fenn. Ser. A I 522 (1972), 44 p.
    • (1972) Ann. Acad. Sci. Fenn. Ser. A I , vol.522
    • Sarvas, J.1
  • 11
    • 0141685647 scopus 로고    scopus 로고
    • Partial symmetry and asymptotic behavior for some elliptic problems
    • D. Smets and M. Willem, Partial symmetry and asymptotic behavior for some elliptic problems, Calc. Var. Partial Differential Equations 18(1) (2003) 57-75.
    • (2003) Calc. Var. Partial Differential Equations , vol.18 , Issue.1 , pp. 57-75
    • Smets, D.1    Willem, M.2
  • 13
    • 33645593374 scopus 로고    scopus 로고
    • Universal approximation of symmetrizations by polarizations
    • to appear in
    • _, Universal approximation of symmetrizations by polarizations, to appear in Proc. Amer. Math. Soc.
    • Proc. Amer. Math. Soc.
  • 14
    • 16344365946 scopus 로고    scopus 로고
    • Set transformations, symmetrizations and isoperimetric inequalities
    • eds. V. Benci and A. Masiello (Springer)
    • J. Van Schaftingen and M. Willem, Set transformations, symmetrizations and isoperimetric inequalities, in Nonlinear Analysis and Applications to the Physical Sciences eds. V. Benci and A. Masiello (Springer, 2004), pp. 135-152.
    • (2004) Nonlinear Analysis and Applications to the Physical Sciences , pp. 135-152
    • Van Schaftingen, J.1    Willem, M.2
  • 15
    • 0004205027 scopus 로고    scopus 로고
    • Progress in Nonlinear Differential Equations and Their Applications, (Birkhäuser, Boston, Mass.)
    • M. Willem, Minimax Theorems, Progress in Nonlinear Differential Equations and Their Applications, Vol. 24 (Birkhäuser, Boston, Mass., 1996).
    • (1996) Minimax Theorems , vol.24
    • Willem, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.