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Volumn 12, Issue 4, 2007, Pages 447-464

GNGA for general regions: Semilinear elliptic PDE and crossing eigenvalues

Author keywords

Bifurcation; GNGA; Newton's method; Semilinear elliptic BVP; Stadia; Stadium; Variational method

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; GRADIENT METHODS; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

EID: 33750963973     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2005.04.007     Document Type: Article
Times cited : (4)

References (16)
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  • 3
    • 0031372470 scopus 로고    scopus 로고
    • Sign-changing solutions for a superlinear Dirichlet problem
    • Castro A., Cossio J., Neuberger J., and M. Sign-changing solutions for a superlinear Dirichlet problem. Rocky Mt J Math 65 4 (1997)
    • (1997) Rocky Mt J Math , vol.65 , Issue.4
    • Castro, A.1    Cossio, J.2    Neuberger, J.,M.3
  • 4
    • 3342925295 scopus 로고    scopus 로고
    • A minimax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems
    • Castro A., Cossio J., and Neuberger J.M. A minimax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems. Electron J Differen Equat 2 (1998)
    • (1998) Electron J Differen Equat , vol.2
    • Castro, A.1    Cossio, J.2    Neuberger, J.M.3
  • 5
    • 85196172147 scopus 로고    scopus 로고
    • Castro A, Drabek P, Neuberger JM. A sign-changing solution for a superlinear Dirichlet problem II. In: Fifth Mississippi state conference on differential equations and computational simulations. Electron J Differen Equat 2003;10:101-7.
  • 6
    • 85196206766 scopus 로고    scopus 로고
    • Neuberger B, Neuberger JW, Noid DW. Eigenfunctions on a stadium assoicated with avoided crossings of energy levels. Available from arXiv:math.NA/0105217v1, 2001.
  • 7
    • 0011626535 scopus 로고
    • On the ergoidc properties of some billiards
    • Bunimovich L.A. On the ergoidc properties of some billiards. Funct Anal Appl 8 (1974)
    • (1974) Funct Anal Appl , vol.8
    • Bunimovich, L.A.1
  • 8
    • 29444443343 scopus 로고
    • On the ergodic properties of nowhere dispersing billiards
    • Bunimovich L.A. On the ergodic properties of nowhere dispersing billiards. Commun Math Phys 65 (1979)
    • (1979) Commun Math Phys , vol.65
    • Bunimovich, L.A.1
  • 11
    • 85196177011 scopus 로고    scopus 로고
    • Neuberger JM, Sieben N, Swift JW. Computing eigenfunction on the Koch's snowflake: a new grid and symmetry. J Comp Appl Math, in press.
  • 12
    • 85196194915 scopus 로고    scopus 로고
    • Neuberger JM, Sieben N, Swift JW. GNGA for semilinear elliptic PDE on a fractal region: symmetry and automated branch following. Preprint, 2005.
  • 13
    • 0035606761 scopus 로고    scopus 로고
    • Newton's method and Morse index for semilinear elliptic PDEs
    • Neuberger J.M., and Swift J.W. Newton's method and Morse index for semilinear elliptic PDEs. Int J Bifurcat Chaos 11 3 (2001)
    • (2001) Int J Bifurcat Chaos , vol.11 , Issue.3
    • Neuberger, J.M.1    Swift, J.W.2
  • 14
    • 85039323829 scopus 로고    scopus 로고
    • GNGA: Recent progess and open problems for semilinear elliptic PDE
    • Proceedings of the variational methods on open problems, recent progress, and numerical investigations. AMS, Prov. RI, 2002. Neuberger J.M. (Ed)
    • Neuberger J.M. GNGA: Recent progess and open problems for semilinear elliptic PDE. In: Neuberger J.M. (Ed). Proceedings of the variational methods on open problems, recent progress, and numerical investigations. AMS, Prov. RI, 2002. AMS J Contemp Math 357 (2004)
    • (2004) AMS J Contemp Math , vol.357
    • Neuberger, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.