Existence and multiplicity of nontrivial solutions for semilinear elliptic Dirichlet problems across resonance
Słowa kluczowe
Semilinear elliptic problems, compactness condition, across resonance, Mountain pass theorem, Leray-Schauder degreeAbstrakt
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.Pobrania
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2010-04-23
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1.
CHANG, Xianojun & LI, Yong. Existence and multiplicity of nontrivial solutions for semilinear elliptic Dirichlet problems across resonance. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2010, T. 36, nr 2, s. 285–310. [udostępniono 22.7.2024].
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