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Volumn 7, Issue 6, 2005, Pages 727-746

Symmetry and symmetry breaking for minimizers in the trace inequality

Author keywords

Nonlinear boundary condition; Sobolev trace inequality; Symmetry breaking

Indexed keywords


EID: 29544442183     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199705001921     Document Type: Article
Times cited : (14)

References (10)
  • 1
    • 0032091443 scopus 로고    scopus 로고
    • A Picone's identity for the p-Laplacian and applications
    • W. Allegretto and Y. X. Huang, A Picone's identity for the p-Laplacian and applications, Nonlinear Anal. T. M. A. 32(7) (1998) 819-830.
    • (1998) Nonlinear Anal. T. M. A. , vol.32 , Issue.7 , pp. 819-830
    • Allegretto, W.1    Huang, Y.X.2
  • 2
    • 22444451582 scopus 로고    scopus 로고
    • Windows of given area with minimal heat diffusion
    • J. Denzler, Windows of given area with minimal heat diffusion, Trans. Amer. Math. Soc. 351 (1999) 569-580.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 569-580
    • Denzler, J.1
  • 3
    • 0000685470 scopus 로고    scopus 로고
    • Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
    • L. Damascelli, Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results, Ann. Inst. Henri Poincaré 15(4) (1998) 493-516.
    • (1998) Ann. Inst. Henri Poincaré , vol.15 , Issue.4 , pp. 493-516
    • Damascelli, L.1
  • 5
    • 0037455321 scopus 로고    scopus 로고
    • The symmetry of least-energy solutions for semilinear elliptic equations
    • J.-L. Chern and C.-S. Lin, The symmetry of least-energy solutions for semilinear elliptic equations, J. Differential Equations 187 (2003) 240-268.
    • (2003) J. Differential Equations , vol.187 , pp. 240-268
    • Chern, J.-L.1    Lin, C.-S.2
  • 7
    • 3042646445 scopus 로고    scopus 로고
    • Isolation and simplicity for the first eigenvalue of the p-Laplacian with a nonlinear boundary condition
    • S. Martinez and J. D. Rossi, Isolation and simplicity for the first eigenvalue of the p-Laplacian with a nonlinear boundary condition, Abstr. Appl. Anal. 7(5) (2002) 287-293.
    • (2002) Abstr. Appl. Anal. , vol.7 , Issue.5 , pp. 287-293
    • Martinez, S.1    Rossi, J.D.2
  • 8
    • 0013078894 scopus 로고    scopus 로고
    • Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains
    • M. del Pino and C. Flores, Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains, Comm. Partial Differential Equations 26(11) (2001) 2189-2210.
    • (2001) Comm. Partial Differential Equations , vol.26 , Issue.11 , pp. 2189-2210
    • Del Pino, M.1    Flores, C.2
  • 9
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • J. L. Vázquez, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim. 12 (1984) 191-202.
    • (1984) Appl. Math. Optim. , vol.12 , pp. 191-202
    • Vázquez, J.L.1
  • 10
    • 0000405695 scopus 로고
    • Boundary regularity for solutions of degenerate elliptic equations
    • G. M. Lieberman, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. T. M. A. 12(11) (1988) 1203-1219.
    • (1988) Nonlinear Anal. T. M. A. , vol.12 , Issue.11 , pp. 1203-1219
    • Lieberman, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.