Journal article
Existence of solutions for semilinear elliptic equations with indefinite linear part
Abstract
We study equations on RN, Lu = W(x)u p −1 uLu = f(u), where L is an indefinite Schrödinger operator, 0 ⩽ W(x) → 0 as× → ∞, and subcritical nonlinearities. We prove existence of solutions uϵH1(RN) via an inversion to a “dual” variational problem.
Authors
Alama S; Li Y
Journal
Journal of Differential Equations, Vol. 96, No. 1, pp. 89–115
Publisher
Elsevier
Publication Date
March 1992
DOI
10.1016/0022-0396(92)90145-d
ISSN
0022-0396