Introduction:
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In this session, we will study nonlinear elliptic partial differential equations and systems, including the ones involving fractional Laplacians. We will investigate the existence and qualitative properties of solutions, such as symmetry, monotonicity, classification, uniqueness, non-existence, and regularity. We will also discuss various applications of these equations to Physics, Chemistry, Biology, Finance, Differential Geometry, and Convex Geometry. |
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