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

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
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