Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry
Keywords
Polyharmonic Dirichlet problems, perturbation from symmetry, critical point theory, variational methodsAbstract
We prove the existence of infinitely many solutions to a class of non-symmetric Dirichlet problems with exponential nonlinearities. Here the domain $\Omega \Subset \mathbb{R}^{2l}$ where $2l$ is also the order of the equation. Considered are the problem with no symmetry requirements, the radial problem on an annulus, and the radial problem on a ball with a Hardy potential term of critical Hardy exponent. These generalize results obtained by Sugimura \cite{Sugimura94}.Published
2017-06-25
How to Cite
1.
STERJO, Edger. Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry. Topological Methods in Nonlinear Analysis. Online. 25 June 2017. Vol. 50, no. 1, pp. 27 - 63. [Accessed 26 April 2024].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0