Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 12, pp. 1-11.

Title: Nontrivial solutions to the semilinear Kohn-Laplace equation on R^3  

Author: Stepan Tersian (Univ. of Rousse, Bulgaria)
         
Abstract: 
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.

Submitted November 26, 1998. Published April 15, 1999.
Math Subject Classification: 35J20, 35J25.
Key Words: Kohn--Laplace equation; homoclinic type solutions; 
           homogeneous spaces; mountain-pass theorem.