Abstract
We study the elliptic polyharmonic reaction-diffusion-type model equation
in bounded domains Ω⊂ℝn and in most cases together with Dirichlet boundary conditions
These boundary conditions prevent (7.1) from being written as a system of second order boundary value problems. However, in some cases, also (homogeneous) Navier boundary conditions (2.21) or Steklov boundary conditions (2.22) may be particularly interesting.
Keywords
- Dirichlet Problem
- Singular Solution
- Radial Solution
- Critical Growth
- Nonexistence Result
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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© 2010 Springer-Verlag Berlin Heidelberg
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Gazzola, F., Grunau, HC., Sweers, G. (2010). Semilinear Problems. In: Polyharmonic Boundary Value Problems. Lecture Notes in Mathematics(), vol 1991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12245-3_7
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DOI: https://doi.org/10.1007/978-3-642-12245-3_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12244-6
Online ISBN: 978-3-642-12245-3
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