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The paper is devoted to the qualitative properties of positive solutions to a semilinear elliptic equation in a planar sub-spherical sector. Under certain range of amplitudes, we prove some monotonicity… Click to show full abstract
The paper is devoted to the qualitative properties of positive solutions to a semilinear elliptic equation in a planar sub-spherical sector. Under certain range of amplitudes, we prove some monotonicity properties via the method of moving planes. The symmetry properties follow from the uniqueness of the corresponding over-determined problem by Farina and Valdinoci (2013 Am. J. Math.).
Keywords:
symmetry positive;
positive solutions;
sub spherical;
spherical sector
Journal Title: Nonlinearity
Year Published: 2021
Link to full text (if available)
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Journal Title: Nonlinearity
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!