In this topical course, we shall study the followings:
<br>(1) Degree theory in finite and infinite dimensional space and its application
<br>(2) Bifurcation Theory
<br>(3)Maximal principle and sub-solutions and supersolutions of elliptic PDE
<br>(4)Some of my work in PDE with applications to Mathematical Biology
<br>The students will be asked to study a paper and to give a presentation in the class.
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<br>Reference: Yihong Du , Order Structure and Topological Methods in      Nonlinear PDE.
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