Index theory for linear elliptic equation and multiple solutions for asymptotically linear elliptic equation with resonance
KeywordsIndex theory, elliptic equation, asymptotically linear conditions, critical point theory, multiple solutions
AbstractIn this paper, we consider the existence and multiplicity of solutions to the elliptic equation with resonance. We classify the linear elliptic equation and obtain some new conditions on the existence and multiplicity for asymptotically linear elliptic equation by using critical point theory.
How to Cite
SHAN, Yuan & LI, Keqiang. Index theory for linear elliptic equation and multiple solutions for asymptotically linear elliptic equation with resonance. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 44, nr 1, s. 89–104. [accessed 27.1.2023].
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