Nonresonance conditions on the potential with respect to the Fucik spectrum for semilinear Dirichlet problems

作者:Chang, Xiaojun*; Li, Yong; Ji, Shuguan
来源:Zeitschrift fur Angewandte Mathematik und Physik, 2010, 61(5): 823-833.
DOI:10.1007/s00033-009-0051-x

摘要

The existence of solutions for semilinear equations with Dirichlet condition are established under the assumption that the nonlinearity is of linear growth and the asymptotic behavior of its primitive at infinity stays away from the Fucik spectrum.