Existence Results for the Periodic Thomas-Fermi-Dirac-von Weizsäcker Equations
We consider the Thomas-Fermi-Dirac-von Weizsäcker equation -Δu+Vxu+u2⋆(1/x)u = λup-2u-uq-2u, u∈H1R3, where λ>0 is a parameter, 2<p<q<6, V∈L∞(R3) is 1-periodic in xj, for j=1, 2, 3, and 0 is in a spectral gap of the operator -Δ+V. Using a new infinite-dimensional linking theorem, we prove...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/652407 |