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arXiv · 1602.05984

Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry

Edger Sterjo
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Abstract

We prove the existence of infinitely many solutions to a class of non-symmetric Dirichlet problems with exponential nonlinearities. Here the domain $Ω\subset\subset \mathbb{R}^{2l}$ where $2l$ is the order of the equation. Considered are the problem with no symmetry requirements on the domain, the radial problem on an annulus, and the radial problem on a ball with a Hardy potential term.

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Edger Sterjo. 2016-12-30. Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry. https://doi.org/10.12775/tmna.2017.018

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