Existence and multiplicity of nontrivial solutions for semilinear elliptic Dirichlet problems across resonance
Keywords
Semilinear elliptic problems, compactness condition, across resonance, Mountain pass theorem, Leray-Schauder degreeAbstract
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.Downloads
Published
2010-04-23
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1.
CHANG, Xianojun and LI, Yong. Existence and multiplicity of nontrivial solutions for semilinear elliptic Dirichlet problems across resonance. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 36, no. 2, pp. 285 - 310. [Accessed 28 March 2024].
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