Non-zero solutions for a Schrödinger equation with indefinite linear and nonlinear terms
- 1 April 2004
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 134 (2) , 249-258
- https://doi.org/10.1017/s0308210500003206
Abstract
We prove the existence of a non-trivial solution for the nonlinear elliptic problem −Δu + V(x)u = a(x)g(u) in RN, where g is superlinear near zero and near infinity, a(x) changes sign and V ∈ C(RN) is positive at infinity. For g odd, we prove the existence of an infinite number of solutions.Keywords
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