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Variational, Topological, and Partial Order Methods with Their Applications pp 271–284Cite as

Nonlocal Kirchhoff Elliptic Problems

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Part of the book series: Developments in Mathematics ((DEVM,volume 29))

Abstract

In Chap. 10, we obtain nontrivial solutions of a class of nonlocal quasilinear elliptic boundary value problems using the Yang index and critical groups, and we obtain sign-changing solutions of a class of nonlocal quasilinear elliptic boundary value problems using variational methods and invariant sets of descent flows. We also show a uniqueness result.

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Authors and Affiliations

  1. Academy of Mathematics & Systems Science, The Chinese Academy of Sciences, Beijing, P.R. China

    Zhitao Zhang

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  1. Zhitao Zhang
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Zhang, Z. (2013). Nonlocal Kirchhoff Elliptic Problems. In: Variational, Topological, and Partial Order Methods with Their Applications. Developments in Mathematics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30709-6_10

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