Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 345, Issue 1, Pages 90-108Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.03.057
Keywords
ground state solutions; nonlinear schrodinger-maxwell equations
Categories
Ask authors/readers for more resources
In this paper we study the nonlinear Schrodinger-Maxwell equations {-Delta u + V(x)u + phi u = vertical bar u vertical bar(p-1)u in R-3, -Delta phi = u(2) in R-3. If V is a positive constant, we prove the existence of a ground state solution (u, phi) for 2 < p < 5. The non-constant potential case is treated for 3 < p < 5, and V possibly unbounded below. Existence and nonexistence results are proved also when the nonlinearity exhibits a critical growth. (C) 2008 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available