Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry
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Polyharmonic Dirichlet problems, perturbation from symmetry, critical point theory, variational methodsAbstrakt
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}.Pobrania
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2017-06-25
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STERJO, Edger. Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry. Topological Methods in Nonlinear Analysis [online]. 25 czerwiec 2017, T. 50, nr 1, s. 27–63. [udostępniono 3.7.2024].
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