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Sign-changing solutions of nonlinear elliptic equations
Authors:Zhaoli Liu  Zhi-Qiang Wang
Affiliation:(1) School of Mathematical Sciences, Capital Normal University, Beijing, 100037, China;(2) Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA
Abstract: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.
Keywords:Elliptic equation  invariant set  sign-changing solution
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