A discussion of nonnegative solutions of elliptic equations on symmetric domains∗
نویسندگان
چکیده
In this note we summarize our recent results on nonnegative solutions of nonlinear elliptic equations on reflectionally symmetric domains. We discuss symmetry properties of such solutions, the structure of their nodal set, and the existence and multiplicity of solutions with a nontrivial nodal set.
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تاریخ انتشار 2013