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Variation of the instability index on stationary curves of elliptic equations depending on a parameter

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The set of solutions of the equation A(u, γ)=0 in the case of general position consists of smooth curves. Solutions of a quasilinear elliptic equation with large instability index are constructed and an estimate obtained for the number of turning points of the solution curves.

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Additional information

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 12, pp. 47–58, 1987.

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Babin, A.V., Vishik, M.I. Variation of the instability index on stationary curves of elliptic equations depending on a parameter. J Math Sci 47, 2516–2525 (1989). https://doi.org/10.1007/BF01102995

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  • Elliptic Equation
  • General Position
  • Smooth Curf
  • Solution Curve
  • Quasilinear Elliptic Equation