Nontrivial solutions for singular semilinear elliptic equations on the Heisenberg group
In this article, we prove the existence of nontrivial weak solutions to the singular boundary value problem -Δℍnu=μg(ξ)u(|z|4+t2)12+λf(ξ,u)$-\Delta _{{\mathbb {H}}^{n}} u= \mu \frac{g(\xi ) u}{(|z|^{4}+ t^{2} )^{\frac{1}{2} }} +\lambda f(\xi , u)$ in Ω, u=0$ u =0$ on ∂Ω$\partial \Omega $ on the Heis...
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| Format: | Article |
| Language: | English |
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De Gruyter
2014-05-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2013-0027 |