Nontrivial Solutions to the Semilinear Kohn-Laplace Equation on R^3
Date
1999-04-15
Authors
Tersian, Stepan
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
The 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.
Description
Keywords
Kohn--Laplace equation, Homoclinic type solutions, Homogeneous spaces, Mountain-pass theorem
Citation
Tersian, 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.
Rights
Attribution 4.0 International