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manuscripta mathematica

, Volume 65, Issue 4, pp 413–426 | Cite as

Bifurcation for a semilinear elliptic equation on ℛN with radially symmetric coefficients

  • Wolfgang Rother
Article

Abstract

We consider the semilinear eigenvalue problem\( - \Delta u - q(x)\left| u \right|^\sigma u = \lambda \cdot u\) on ℛN (N ≥ 2) (N≥2) and investigate the question under which conditions on the radially symmetric function q, λ=0 is a bifurcation point for this equation in H1, In H2 and in Lp for 2≤p≤+∞.

Keywords

Eigenvalue Problem Number Theory Elliptic Equation Algebraic Geometry Bifurcation Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Wolfgang Rother
    • 1
  1. 1.Mathematisches InstitutUniversität BayreuthBayreuthBund. Rep. Deutschland

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