Geodesic
Nontrivial solutions to the semilinear Kohn-Laplace equation on \(\mathbb{R}^3\)
Electronic journal of differential equations, Tome 1999 (1999), pp. 1-11
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.
Classification : 35J20, 35J25
Keywords: Kohn--Laplace equation, homoclinic type solutions, homogeneous spaces, mountain-pass theorem 
@article{EJDE_1999__1999__a136,
     author = {Tersian,  Stepan},
     title = {Nontrivial solutions to the semilinear {Kohn-Laplace} equation on {\(\mathbb{R}^3\)}},
     journal = {Electronic journal of differential equations},
     pages = {1--11},
     year = {1999},
     volume = {1999},
     zbl = {0918.35055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a136/}
}
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Tersian,  Stepan. Nontrivial solutions to the semilinear Kohn-Laplace equation on \(\mathbb{R}^3\). Electronic journal of differential equations, Tome 1999 (1999), pp. 1-11. http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a136/