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Nonlinear Analysis and Optimization pp 106–114Cite as

Another approach to elliptic eigenvalue problems with respect to indefinite weight functions

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1107))

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References

  1. S. SENN and P. HESS: On positive solutions of a linear elliptic eigenvalue problem with Neumann boundary conditions. Math.Ann. 258 (1982), 459–470.

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  2. P. HESS and T. KATO: On some linear and nonlinear eigenvalue problems with an indefinite weight function. Comm. P.D.E. 5 (1980), 999–1030.

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  3. T. KATO: Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Math. Z. 180(1982), 265–273.

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  5. S. SENN: On a nonlinear elliptic eigenvalue problem with Neumann boundary condition, with an application to population genetics. Comm. P.D.E. 8 (1983), 1199–1228.

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  6. M.H. PROTTER and H.F. WEINBERGER: On the spectrum of general second order operators. Bull. A.M.S. 72(1966), 251–255.

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  7. M.G. CRANDALL and P.H. RABINOWITZ: Bifurcation, perturbation of simple eigenvalues and linearized stability. Arch. Rat. Mech. Anal. 52(1973), 161–180.

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Authors and Affiliations

  1. Mathematics Institute, University of Zürich, Rämistr. 74, 8001, Zürich, Switzerland

    P. Hess & S. Senn

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  1. P. Hess
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  2. S. Senn
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Calogero Vinti

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© 1984 Springer-Verlag

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Hess, P., Senn, S. (1984). Another approach to elliptic eigenvalue problems with respect to indefinite weight functions. In: Vinti, C. (eds) Nonlinear Analysis and Optimization. Lecture Notes in Mathematics, vol 1107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101496

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  • DOI: https://doi.org/10.1007/BFb0101496

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13903-4

  • Online ISBN: 978-3-540-39123-4

  • eBook Packages: Springer Book Archive

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