Nontrivial solutions to the semilinear Kohn-Laplace equation on R^3
The existence of nontrivial solutions to the semilinear Kohn-Laplace equation $$ -Delta _Hu+V(P)u=f(u)$$ is considered under appropriate assumptions on $V(P)$ and $f(u)$. Results are obtained using a variational method and a compact-embedding lemma.
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| Format: | Article |
| Language: | English |
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Texas State University
1999-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/12/abstr.html |