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Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems

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Publication:1905433
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DOI10.1007/BF00917873zbMath0848.34016MaRDI QIDQ1905433

Tetsutaro Shibata

Publication date: 10 January 1996

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)


zbMATH Keywords

asymptotic formulanonlinear Sturm-Liouville problem


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Sturm-Liouville theory (34B24) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items (1)

Spectral asymptotics for nonlinear non-autonomous elliptic eigenvalue problems in a ball




Cites Work

  • Nonlinear scalar field equations. I: Existence of a ground state
  • Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems
  • Le nombre de solutions de certains problèmes semi-linéaires elliptiques
  • Spectral asymptotics for nonlinear Sturm-Liouville problems
  • On spectral asymptotics and bifurcation for elliptic operators with odd superlinear term
  • Upper and lower bounds for eigenvalues of nonlinear elliptic equations: I. The lowest eigenvalue




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