Tersian, Stepan2019-11-222019-11-221999-04-15Tersian, S. (1999). Nontrivial solutions to the semilinear Kohn-Laplace equation on R^3. <i>Electronic Journal of Differential Equations, 1999</i>(12), pp. 1-11.1072-6691https://hdl.handle.net/10877/8878The existence of nontrivial solutions to the semilinear Kohn-Laplace equation -ΔHu + V(P)u = ƒ(u) is considered under appropriate assumptions on V(P) and ƒ(u). Results are obtained using a variational method and a compact-embedding lemma.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalKohn--Laplace equationHomoclinic type solutionsHomogeneous spacesMountain-pass theoremArticle