Abstract
With the linear growth of the nonlinearity and a new compactness condition involving the asymptotic behavior of its potential at infinity, we establish the existence and multiplicity results of nontrivial solutions for semilinear elliptic Dirichlet problems. The nonlinearity may cross multiple eigenvalues.
Citation
Xiaojun Chang. Yong Li. "Existence and multiplicity of nontrivial solutions for semilinear elliptic Dirichlet problems across resonance." Topol. Methods Nonlinear Anal. 36 (2) 285 - 310, 2010.
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