Sign-changing solutions of nonlinear elliptic equations. (English) Zbl 1158.35370

Liu, Zhaoli; Wang, Zhi-Qiang

Front. Math. China 3, No. 2, 221-238 (2008).

Summary: In this survey article, we recall some known results on existence and multiplicity of sign-changing solutions of elliptic equations. Methods for obtaining sign-changing solutions developed in the last two decades will also be briefly revisited.

MSC:

35J65	Nonlinear boundary value problems for linear elliptic equations
35J20	Variational methods for second-order elliptic equations
35-02	Research exposition (monographs, survey articles) pertaining to partial differential equations

Keywords:

elliptic equation; invariant set; sign-changing solution

References:

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