메뉴 건너뛰기




Volumn 13, Issue 4, 2000, Pages 741-

The "hot spots" conjecture for domains with two axes of symmetry

Author keywords

Convex domains; Eigenfunctions

Indexed keywords


EID: 0345755611     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-00-00346-5     Document Type: Article
Times cited : (75)

References (17)
  • 1
    • 0033541883 scopus 로고    scopus 로고
    • On the "hot spots" conjecture of J. Rauch
    • CMP 99:13
    • R. Bañuelos and K. Burdzy, On the "hot spots" conjecture of J. Rauch, J. Punct. Anal. 164 (1999), 1-33. CMP 99:13
    • (1999) J. Punct. Anal. , vol.164 , pp. 1-33
    • Bañuelos, R.1    Burdzy, K.2
  • 4
    • 0033241661 scopus 로고    scopus 로고
    • A counterexample to the "hot spots" conjecture
    • MR 2000b:35044
    • K. Burdzy and W. Werner, A counterexample to the "hot spots" conjecture., Annals of Math. 149 (1999), 309-317. MR 2000b:35044
    • (1999) Annals of Math. , vol.149 , pp. 309-317
    • Burdzy, K.1    Werner, W.2
  • 7
    • 84966201593 scopus 로고
    • The Neumann problem on Lipschitz domains
    • MR 84a:35064
    • D. Jerison and C. Kenig, The Neumann problem on Lipschitz domains, Bull. Amer. Math. Soc. 4 (1981), 203-207. MR 84a:35064
    • (1981) Bull. Amer. Math. Soc. , vol.4 , pp. 203-207
    • Jerison, D.1    Kenig, C.2
  • 8
    • 0003269816 scopus 로고
    • Rearrangements and Convexity of Level Sets in PDE
    • Springer-Verlag, Berlin, MR 87a:35001
    • B. Kawohl, Rearrangements and Convexity of Level Sets in PDE, vol. 33, Springer-Verlag, Berlin, 1985, Lecture Notes in Mathematics 1150. MR 87a:35001
    • (1985) Lecture Notes in Mathematics , vol.33 , pp. 1150
    • Kawohl, B.1
  • 9
    • 84980160807 scopus 로고
    • On conjugate solutions of certain partial differential equations
    • MR 81j:35036
    • H. Lewy, On conjugate solutions of certain partial differential equations, Comm. Pure Appl. Math. 33 (1980), 441-445. MR 81j:35036
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 441-445
    • Lewy, H.1
  • 11
    • 24244463283 scopus 로고
    • Multiple eigenvalues of the Laplace operator
    • MR 89a:58113
    • N. Nadirashvili, Multiple eigenvalues of the Laplace operator, Math. USSR Sbornik 61 (1988), 225-238. MR 89a:58113
    • (1988) Math. USSR Sbornik , vol.61 , pp. 225-238
    • Nadirashvili, N.1
  • 12
    • 0000694219 scopus 로고
    • Isoperimetric inequalities and their applications
    • MR 36:2058
    • L. Payne, Isoperimetric inequalities and their applications, S.I.A.M. Rev. 9 (1967), 453-488. MR 36:2058
    • (1967) S.I.A.M. Rev. , vol.9 , pp. 453-488
    • Payne, L.1
  • 13
    • 84980087944 scopus 로고
    • Remarks on Courant's nodal line theorem
    • MR 18:315d
    • A. Pleijel, Remarks on Courant's nodal line theorem, Comm. Pure Appl. Math. 9 (1956), 543-550. MR 18:315d
    • (1956) Comm. Pure Appl. Math. , vol.9 , pp. 543-550
    • Pleijel, A.1
  • 15
    • 0345370866 scopus 로고
    • Five problems: An introduction to the qualitative theory of partial differential equations
    • (Jerome A. Goldstein, ed.), Springer-Verlag, Berlin
    • J. Rauch, Five problems: an introduction to the qualitative theory of partial differential equations, Partial Differential Equations and Related Topics (Jerome A. Goldstein, ed.), Springer-Verlag, Berlin, 1974, pp. 355-369, Lecture Notes in Mathematics 446. MR 58:22963
    • (1974) Partial Differential Equations and Related Topics , pp. 355-369
    • Rauch, J.1
  • 16
    • 0003582450 scopus 로고    scopus 로고
    • MR 58:22963
    • J. Rauch, Five problems: an introduction to the qualitative theory of partial differential equations, Partial Differential Equations and Related Topics (Jerome A. Goldstein, ed.), Springer-Verlag, Berlin, 1974, pp. 355-369, Lecture Notes in Mathematics 446. MR 58:22963
    • Lecture Notes in Mathematics , pp. 446
  • 17
    • 0346204021 scopus 로고    scopus 로고
    • Thesis MIT, June
    • D. Zanger, Thesis MIT, June 1997.
    • (1997)
    • Zanger, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.