Existence of Nontrivial Solutions for Periodic Schrödinger Equations with New Nonlinearities
We study the Schrödinger equation: -Δu+Vxu+fx,u=0, u∈H1(RN), where V is 1-periodic and f is 1-periodic in the x-variables; 0 is in a gap of the spectrum of the operator -Δ+V. We prove that, under some new assumptions for f, this equation has a nontrivial solution. Our assumptions for the nonlineari...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/539639 |
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