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Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
Solutions of a nonlinear Schrödinger equation
1. | Dipartmento de Matematica, IMECC-UNICAMP, 13081-970 Campinas S.P., Brazil |
2. | Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100080, China |
$-\Delta u + (\lambda a(x) + a_0(x))u = f(x, u), u\in H^1(\mathbb R^N).$
We improve some previous results in two respects: we do not require $a_0$ to be positive on one hand, and allow $f(x, u)$ to be critical nonlinear on the other hand.
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