Solutions of superlinear elliptic equations and their morse indices

@article{Bahri1992SolutionsOS,
  title={Solutions of superlinear elliptic equations and their morse indices},
  author={A. Bahri and P. Lions},
  journal={Communications on Pure and Applied Mathematics},
  year={1992},
  volume={45},
  pages={1205-1215}
}
  • A. Bahri, P. Lions
  • Published 1992
  • Mathematics
  • Communications on Pure and Applied Mathematics
    • We consider here solutions of semilinear second-order elliptic equations with superlinear nonlinearities. And we present some relationships between their Morse Indices and some qualitative properties. In particular we show that for, “uo;subcritical” nonlinearities, bounds on solutions are equivalent to bounds on their Morse indices. 
    View via Publisher
    130 Citations
    Highly Influential Citations
    8
    Background Citations
    30
    Methods Citations
    17
    Results Citations
    6
    130 Citations
    Citation Type

    Citation Type

    Morse indices of solutions for super-linear elliptic PDE’s
    • 9
    Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices
    • PDF
    L∞-Bounds for Solutions of Supercritical Elliptic Problems with Finite Morse Index
    • 2
    • Highly Influenced
    Blow up points of solution curves for a semilinear problem
    • 15
    • Highly Influenced
    • PDF
    On elliptic equations with superlinear nonlinearities
    Solutions of fractional Laplacian equations and their Morse indices
    • 5
    Harmonic functions with nonlinear Neumann boundary condition and their Morse indices
    • 3
    A priori estimates for superlinear and subcritical elliptic equations: the Neumann boundary condition case
    • 16
    Remarks on the resonant elliptic problem
    • 6
    Multiplicity results for a nonlinear elliptic problem involving the fractional laplacian
    • 4